diff --git "a/data/dm_maths/full_data_2/2126_11255.jsonl" "b/data/dm_maths/full_data_2/2126_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2126_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from fudlooffoookoffkl?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -61 + 2?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r**3 + 404*r**2 + 8*r - 1. Let o(b) = 5*b**3 + 202*b**2 + 5*b - 1. Determine 3*f(l) - 5*o(l).\nAnswer: -l**3 + 202*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**3\/v))\/v)**17)**2*((v**3)**22)**(-48) assuming v is positive.\nAnswer: v**(-3236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 538709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (27\/6)\/9*2*5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11288 - 11078. What is the greatest common divisor of 5600 and z?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 71148 and 2267034.\nAnswer: 49874748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 46*q + 4. Let o(v) = 2*v. Give 2*l(t) - 44*o(t).\nAnswer: 4*t + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 162*p**2 - 1. Let k = -16 - -17. Is m(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m. Let f(v) = -7*v**2. Let w(z) = 4*z**2. Let j(q) = -3*f(q) - 5*w(q). What is j(y(l))?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 2*h**3\/3 + 4*h + 259. List the prime factors of z(-18).\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 37*h**2 - 70*h - 10. What is a(-35)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1048 + 1028. Which is smaller: x or 647?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5078 + -24?\nAnswer: -50a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z**2 - z)*(2 - 2 - 2)*(27*z**3 - 33*z**3 - 2*z - 6*z).\nAnswer: -24*z**5 - 32*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513 is divided by 35?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 123 - 37. What is the remainder when f is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*d + 2*q - 20, 2*d - 4*q + 10 = 0. Solve d*t = -2*s + 2*t, -4*t + 26 = -5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*sqrt(19) + 3.\nAnswer: -2*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**3 - 5*c**3 + 12*c**3 + 85*c**2 - 73*c**2 - 12*c**2 + 2*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4113 = -221*l - 48*l - 7723 for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162830*g**2 - 162911*g**2 - 162921*g**2 + 488557*g**2.\nAnswer: -105*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 10*o + 8. List the prime factors of a(-13).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1467.130918+-4.441\nAnswer: -1471.571918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/2)\/(3\/126). Suppose -i + 19 + n = 0. Is 20 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64004 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 5*g + 2*o = -10, -41 = 4*g - 5*o. Let x(s) = -2*s - 4. Let v be x(g). Suppose -3*h - 8 - 4 = 0. Sort h, -3, v in decreasing order.\nAnswer: v, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(405) - ((-1 + sqrt(405) + sqrt(405) - sqrt(405)) + sqrt(405)).\nAnswer: -9*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1097, 2234, 3371, 4508?\nAnswer: 5645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 72.8, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -13*c**5\/120 - c**4\/24 - 2*c**3\/3 - 4. Let r(f) be the third derivative of d(f). List the prime factors of r(-3).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3023000 (base 4) to base 3\nAnswer: 122211012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 10*w**2 - w - 8. Let p = 30 + -40. Let q be v(p). Solve -4*u**2 + 6 - 7*u - u**q - 6 - 3 - u**3 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (27\/6 - 1\/2)*1. Let o be 3\/g - (0 - (-759)\/(-12)). Suppose 9*r - o = 7*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 249 or 46121\/186?\nAnswer: 249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5752 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 13*i**2 - i + 21. Calculate a(-13).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1030, 0.1, 3\/5, -3, -1 in decreasing order.\nAnswer: 1030, 4, 3\/5, 0.1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 34*i**3 + 1\/4*i**4 + 1734*i**2 - 2 + 10*i. Find t such that h(t) = 0.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7072)\/187 - (-2)\/(-11). Let m be b\/(-209) - (-106)\/22. Solve 5 = 5*n - m for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (274*o - 612 + 41*o + 611)*(2 - 1 - 4*o**2 + 8*o**2 + (-o + 1 - 1)*(o + o + 0*o)).\nAnswer: 630*o**3 - 2*o**2 + 315*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 406 and 470126076?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from odjjgjogjjwooojojo. What is prob of picking 1 d and 2 o?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-510))\/(((-49)\/(-35))\/7).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6340250 (base 7) to base 2\nAnswer: -10111011000001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 8:30 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -72 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-1)\/(-2)))\/(-96*67\/(-196176))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 696 = 231. List the prime factors of w.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - z. Let o be x(0). Suppose 862*w + 1348*w = 4420. Solve -w*f + o*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/12)\/((-80)\/(-120))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2 = -3*t - 12, 3*t - 2*l = -14. Let o = -4 - t. What is the third derivative of 4*i**6 + 3*i**6 - 2*i**o - 5*i**6 wrt i?\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43946*v**4 + 22016 wrt v?\nAnswer: 175784*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4569021*a - 4569429*a = 4488 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 283 - -173. What are the prime factors of o?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85698784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 180 = -2*t. Let f be 18\/t + 104\/10. List the prime factors of f\/((-14)\/4 - -4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -21, -25, -29?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 2777 - 12223. What is w rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*g = 2, 2*w = -4*g + 18 - 10. Which is the nearest to 0.8? (a) w (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(14\/(-2))\/(-7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(-2*sqrt(11)))\/(sqrt(6) + sqrt(6) + (sqrt(216) - -2*sqrt(216))).\nAnswer: -sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23122022020 (base 4) to base 14.\nAnswer: -57bcb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -5*j - 3, j + 1 + 0 = -w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*o + 90 - 90 + ((-3 + 0 + 2)*(1 + 0 + 1) - 2 + 0 + 1)*(-1 + 1 + o) + (-2*o - 2*o + 5*o)*(4 - 1 + 1) to n*o + l and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5300555051 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w**2 - 66*w + 66. Let a(i) = 3*i**2 - 65*i + 68. Let g(r) = -4*a(r) + 6*o(r). Solve g(u) = 0 for u.\nAnswer: 1, 31\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-30)\/(-165) - 680\/(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 260\/117*40*(-7)\/(-2100)?\nAnswer: 8\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27861?\nAnswer: 3, 37, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21577961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 - 41. Suppose -2*q = -7*q + 20. Solve -4*x + c = -q*g - 2, 4*g - 5*x = -23 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*j - 46430 = -5*v, v - 11613 = 4*j. What are the prime factors of v?\nAnswer: 5, 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 4*q - 67. Suppose 0 = -5*h - 5*i + 15, -q*i + 5*i = 0. Calculate the highest common factor of 33 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + ((0 + sqrt(1458))*2 - (-2 + 5*(sqrt(2) + 0 + sqrt(98)))))*1)**2.\nAnswer: 112*sqrt(2) + 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4163.162 micrograms to milligrams.\nAnswer: 4.163162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -143550 rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9253, 9256, 9275, 9316, 9385, 9488, 9631, 9820?\nAnswer: 10061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.9, -3 in increasing order.\nAnswer: -3, 0, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 153092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a. Let g(r) = 62540*r**2. Calculate g(p(w)).\nAnswer: 250160*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.026 (b) -1 (c) -4.48 (d) 2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + a**3 - a + 3 - 2*a**2 - 7. Let c = -880 + 884. What is u(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 15*p + 17*p + 7 + 13*p - 37*p. What is z(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 397, 1539, 3443, 6109, 9537, 13727?\nAnswer: 18679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 - 12*h - 13. Let l be n(9). Let y = 60 - l. Is (-3)\/(-3) + (y - -2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -44. Let c = -29880\/7 - -4228. Let x = c + b. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g**5 - 471*g**4 - 2085*g**3 + 1956*g**2 + 612*g = 0.\nAnswer: -34, -6, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 take away -123177617.873?\nAnswer: 123177482.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 12:27 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -21 - 48. What is the remainder when n is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/sqrt(4) + -4 - (2 + sqrt(7)*-2).\nAnswer: -6 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1665 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 + 5. Let g(b) = -4*b**2 + b + 11. Suppose -h - i + 7 = 0, -1087*h = -1082*h + 2*i - 35. Give h*p(z) - 3*g(z).\nAnswer: -2*z**2 - 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**3 + 3*u**3 + 7*u**3 - 27*u**3 + 9*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -9675829\nAnswer: -29027487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -891*s**2 - 4 + 629*s**2 + 100 + 53.\nAnswer: -262*s**2 + 149","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 6 - 10)*(-4 - 4 + 4)*(-3*a + 3*a + a)*(-2 + 6 - 1).\nAnswer: 180*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11996 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 189, 254, 265, 204?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -4. Let a(u) = 42*u**2 - 60*u + 57. Let t be a(3). What is the highest common factor of t and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 155\/4. Let u = 197 + -105. Let n = u - 642\/7. Which is the smallest value? (a) p (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1230.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6 - (-1)\/(-6). Let r = -243\/2 - -123. Find k, given that -v - r*k - 1\/2*k**3 - 3\/2*k**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93512 at most as big as 93512?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**2\/2 - f - 1. Let r(g) = -8*g - 3. Let j be (-2)\/10*-5 + -6. Determine j*y(b) + r(b).\nAnswer: -3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 t when three letters picked without replacement from qjtbu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402*q + 401*q + 425*q - 1236*q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 0.4 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - f**2 - 8*f - 3. Let k(t) = -t**3 - 9*t - 3. Let r(b) = -5*h(b) + 4*k(b). Give r(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -11*p**2 + 7. Let r(m) = 5*m**2 - 3. Let i(c) = -3*q(c) - 7*r(c). Let n(v) = 90 - 90 - 7*v. What is n(i(k))?\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2379)\/324 + 2\/4. Let m = -139661\/53838 + 3\/1994. Let b = j - m. What is the common denominator of 21\/11 and b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21446?\nAnswer: 2, 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from boo. What is prob of sequence ob?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -339 + 458. Which is the smallest value? (a) z (b) 0 (c) 0.04 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5167.\nAnswer: 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmdcgd. What is prob of picking 2 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000053 rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 970 and 768960.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 168*y - 160*y - 24528. What are the prime factors of y?\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 25 = 9, -4*x - v - 28 = 0. Let h(d) be the third derivative of d**5\/60 + 5*d**4\/24 + d**3\/6 + 7*d**2. Is h(x) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6756 + 6757. Let y(x) = x**2 + 3*x - 3. What is the remainder when y(-6) is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1604 + 27*z**3 - 1604 - 3*z to the form d*z + x*z**2 + q*z**3 + b and give q.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen quarters of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.425221 centuries?\nAnswer: 510.2652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7586 and 1.\nAnswer: 7587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2577870 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -0.5 (c) 111543\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -57221287 divided by 1\nAnswer: -57221287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 9:49 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6) + 2096\/48. Let x = -21 + i. Suppose -5*y - 62 = -3*f, -5*y + x = 5*f - 27. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91 - -91. Let c(k) = -2*k**2 + 2*k - 6. Let w be c(2). Sort n, 5, w in ascending order.\nAnswer: w, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-511)\/(-21))\/(-6 - 17\/(-3)))?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 2*i**2 + 5 + 6 - 19*i + 0 to the form h*i + s + v*i**2 and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005921 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -5)\/(118\/236 + 18\/(-20)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -894*r + 11*r = 378*r - 10479 + 2913. Suppose -d = 28 + 20. Let n = d + 72. What is the greatest common factor of r and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/23, -30\/41, -5?\nAnswer: -30\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-2\/13)*d\/d**(-1\/14)*d*((d*(((((d\/(d\/(d*d**(2\/37))))\/d)\/d)\/d)\/d)\/d)\/d*d)**10 assuming d is positive.\nAnswer: d**(-176661\/6734)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*c = 5 - 4670 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7*s**3 + s**2 + s - 2. Let g = 18 + -17. Suppose 6*r - 8 = 2*r. What is the least common multiple of r and j(g)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-8)\/((-200)\/15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 1\/2*v**2 + 4*v + 5\/3*v**4 + 1\/3*v**3 + 0. Let g be s(2). Calculate the greatest common factor of g and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116447 (base 14) to base 8.\nAnswer: 2207217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94828?\nAnswer: 2, 151, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**3 + s**2 - 138*s - 139. Let y be w(-1). Let l(n) = 41*n**3 + 2*n**2 - 6*n + 6. Let b(q) = -42*q**3 - 2*q**2 + 7*q - 7. Give y*l(t) - 6*b(t).\nAnswer: -35*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*s - 42*s + 102*s + 6*s.\nAnswer: 133*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1097, -478, 563, 2032, 3935?\nAnswer: 6278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + 3*82\/6. What is the greatest common factor of 30 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u + 11. Let w be s(-8). Let x = -12 - w. Differentiate x*t**2 + 0 - 4 - 7*t**2 with respect to t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17424, 17426, 17438, 17466, 17516, 17594, 17706, 17858?\nAnswer: 18056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 11*q + 0*q + 22 - 42. Let r be z(8). Let x be 2\/4 + 10\/r. Solve 0 = -x*v - 1 + 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 5312 = 5332 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 55848 = 3912. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -147*k**2 + 47*k**2 - 88*k**2 - 82*k**2 as v*k**2 + r*k + f and give v.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 176977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 1. Let n(h) = 2*h**2 - 35*h - 18. Let u be n(18). Let g(p) = 3*p - 11 + 10 + u*p - p. Calculate g(f) + 3*k(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20883506 divided by -213097.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46355 by 9271.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*h + 4*w, 5*w - 20 = -0*w. Which is the closest to 2\/3? (a) -4\/3 (b) -11 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 724532285?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*v**6 + 93*v**5 + 907*v**2 wrt v.\nAnswer: -720*v**3 + 5580*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/2)\/n**(-1\/4))\/((n\/n**0)\/n*n*n**11) assuming n is positive.\nAnswer: n**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (32\/48)\/(3 - 0). Let q = -0.23 - -0.3. Let n = q + -0.37. What is the smallest value in -2, n, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 8. Let n = -11 - k. Suppose -n*d + 32 = -96. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -5, 1.77, 0, -24, 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 6*p**2 + 4*p + 1. Let s be y(-5). Suppose 229 + s = 5*f + 5*q, 2*f = -q + 91. Let v = f - 1. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293593447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -450 - -450.14. Let c = -10 - -9. What is the closest to c in -1, 3, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5*y - 25 = 0, 6*a + 5 = 8*a - 3*y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 174163?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0 = 4. Let b = 0 + v. Suppose b = -3*u + 4*u. Solve u*t + 15 = 5*t - 3*z, 5*z = 4*t - 22 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76235177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080908333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 10*k**2 - 2*k + 28. Let x be m(10). Suppose -5*d = 2*o + x, -5*d + 10*d = -4*o - 16. Factor d - 3\/4*j - 15\/4*j**3 + 9\/2*j**2.\nAnswer: -3*j*(j - 1)*(5*j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6825*a**2 + 13689*a**2 - 6861*a**2. Let q(y) = -2716*y. Calculate w(q(g)).\nAnswer: 22129968*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -12*p**2 + 44*p + 48. Let q(f) = 2*f**2 - 311 - 22*f + 7*f + 295 + 2*f**2. Let a(g) = -8*q(g) - 3*z(g). Factor a(r).\nAnswer: 4*(r - 4)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0 = -5. Is 352 + -7 - n*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23.1 + -23. Which is the closest to -1? (a) 0 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 2 = 0, 0 = 4*z + 5*u - 9 - 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 4*g - 5. Suppose -3*z = -5*h - 8, -5*h + 3*h + 10 = z. Let v be n(z). Solve v*o + 5 = 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 234 and 13469014.\nAnswer: 121221126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3076 + 1999 - 4293. What is the remainder when d is divided by 180?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**5\/60 + m**4\/2 - 31*m**3\/6 - 24*m**2. Let f be u(-15). Suppose -f = -5*w + 716. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1.1 (b) 29 (c) -2\/13 (d) 3 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 614 - 303 - 12358*q**3 - 311.\nAnswer: -12358*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1606879, 1606807, 1606735, 1606663?\nAnswer: 1606591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6089, -6099, -6123, -6167, -6237?\n\"Answer: -j**3 - j**2 - 6087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 2:11 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 0*w - 2\/3*w**4 + 0 + 20\/3*w**2.\nAnswer: -2*w**2*(w - 5)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 48) + (17 - (9 + 20 + -2 + -20))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/4059258 and 3\/9471602.\nAnswer: 28414806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 981 is divided by 971.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4168745 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -93*w + 13 - 13 + 13*w in the form x + q*w and give q.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4*p**2 - 2)*(60 - 11 + 30)*(-3*p + 2*p - 18*p) in the form m*p + l*p**2 + z*p**3 + d and give z.\nAnswer: 6004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/((f*f**(-3)*f*f*f)\/f)*f**(-2\/19)*(f**(-1)\/f)**48 assuming f is positive.\nAnswer: f**(-1807\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/5)\/2)\/(-22 + 6386\/290)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4944386 + 115688743681\/23398. Find the common denominator of v and -61\/12.\nAnswer: 140388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17 and 2180590?\nAnswer: 2180590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 18.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, h: 3, e: 2}. Give prob of sequence hheh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001010 - 11100111001100111?\nAnswer: -11100110011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/8 of a day?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13639650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2.7. What is the second biggest value in r, 2\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + 0. Let j = -38 - u. Let t = j - -51. Which is smaller: t or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**3\/11 - 3110*i**2\/11 + 12464*i\/11 - 12472\/11 = 0.\nAnswer: -1559, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1 - -1) + -3 - -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2823350 rounded to the nearest 10000?\nAnswer: 2820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) -2 (c) 16 (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 1836 - 1841 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 254.3 + -207. Let r = o - 47. What is the nearest to 2\/7 in r, -1\/10, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/20*12\/9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 56 = -3*z. Sort z, 296, -5, 2 in increasing order.\nAnswer: -5, 2, z, 296","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i + 3. Let h = -354 + 359. Calculate g(h).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/9*(-105)\/56*2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 6*n + 214 + 22 + 99 + 51 to f*n + x and give x.\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18796, -74706, -167898, -298372, -466128, -671166, -913486?\n\"Answer: -18641*n**2 + 13*n - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n + 4. Let b(j) = 5*j - 11. Let q(x) = -3*b(x) - 8*s(x). Let t = -5 - -3. Calculate q(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x - 7*x + 26. Suppose -3*k - 36 = x*i - 5*i, i - 5*k = 20. Suppose 2*o = 308 - 28. What is the smallest common multiple of i and o?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 15*y + 40. Let m(k) = -15*k - 52. Calculate 5*m(q) + 6*t(q).\nAnswer: 15*q - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/24 + (-3)\/18. Let w = -270.4 - -270. What is the third smallest value in -3, f, -1\/7, w?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 9 = -2*p - 1, 4*z + 10 = p. Suppose -4*g + 393 = -3*x, p*g - 294 + 105 = -x. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 t when three letters picked without replacement from iiittt?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 34055.82 millilitres?\nAnswer: 34.05582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 576 and 2622459456?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 1035976.\nAnswer: -517988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + a + 1458 = 3*a, -5*a + 1452 = 2*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/3724)\/((-1)\/6)*(-7)\/6?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*w - 28, 0 = -2*w - 1 + 3. Let d(c) = c - 11. Let n be d(j). Is (n\/(-6))\/((-19)\/24567) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**4\/2 + 91*h**3\/2 + 285*h**2 + 578*h + 388 = 0.\nAnswer: -2, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505008831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**4\/4 + 11*q**3\/3 + 11*q**2\/2 + 17*q - 5. Let k be v(12). Let u = 12 - 6. Put u, k, -2 in descending order.\nAnswer: u, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -19 - -22 - 10\/2. Let j(z) = -7*z - 2. Let f be j(-1). Suppose 0*d - 2*d + 15 = -f*w, 0 = -4*d - 20. Is w equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37051\/8 - -4623. Calculate the common denominator of n and 13\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1078*l**3 + 166*l**2 - 166*l**2.\nAnswer: 1078*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 0*y + 5*y - 350, 0 = 3*g - 2*y - 205. Let j = g - 58. Differentiate -4 - j + 27*n - 26 wrt n.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 125.9 to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -2. Let a = -24 + 24. What is the second smallest value in a, d, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - 0.2. What is the closest to 0.2 in -4, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 1836806.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5\/3 + 2*k**4 - 8*k**2\/3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 399*o**2. Let i(b) = -95360*b. Give i(h(c)).\nAnswer: -38048640*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s - 36. Let a be n(17). Let o be ((-25)\/(-3) - 5)\/(a\/(-3)). Let v(h) = h**2 - 3*h - 2. Calculate the least common multiple of 10 and v(o).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 5*z - 5*z + 2*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -137*u**2*z**2 - 464*u*z**3 + 160*z**3 + 487*z + 2 wrt u.\nAnswer: -274*u*z**2 - 464*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 times -0.046?\nAnswer: 7.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-220))\/(246\/(-14432)).\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c**3 - 3*c**2. Let s(v) = 425*v**3 + 2*v**2 - 209*v**3 - 213*v**3. Suppose 0 = -4*h - h - 20. Give h*y(x) - 6*s(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - -22. Let i = 69 - o. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 30 - 0\/((-8)\/(-4)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 2118?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -9. Suppose 0 = 3*z + z - 8, 3*h - 112 = -o*z. Calculate the greatest common factor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -13. Suppose 3*q = q + f. Find the third derivative of 2*h**2 - h**6 - q*h + 6*h wrt h.\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1440, 1443, 1446?\nAnswer: 1449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**2*f**(5\/3)*f*f**(-2)*f\/(f*f\/(f*f**(4\/3))) assuming f is positive.\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44111, -44126, -44141, -44156?\nAnswer: -44171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-16430)\/(-31)*(-8)\/(-5)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/4 + 45\/12. Let v be (3\/(-9))\/(n\/54). Let g(r) = -r**2 - 5*r + 2. Determine g(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -63\/503 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*z + 16. Let i be (-1)\/(-2) + 110\/z. What is the highest common divisor of 14 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (-70866)\/(-2418) - (-134)\/858?\nAnswer: -5\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**3 - 2*d**2 - 2*d + 4. Let f be a(2). Suppose -7*w = -11*w + f. Solve -5*x = -w*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*u + 6068 = 652*u + 22626 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -4)\/(1\/(-226)). Suppose -1755 = 85*r - 80*r. Let u = y - r. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**5 + 2*v**5 - 2*v**5 + 0*v**5 + 2*v**5 - v**5 + (v + 4*v - 3*v)*(-4*v**3 + v**4 + 4*v**3) + (9 + 18 + 4)*(-22*v**5 + v**5 + 8*v**5).\nAnswer: -402*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t**2 + t**2 - 3*t**2)*(-11 + 26*t**2 + 7 + 47*t**2) to the form y + g*t + d*t**3 + k*t**4 + o*t**2 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/13? (a) 0.5 (b) -0.3 (c) 1207 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5c1c (base 14) to base 2\nAnswer: 11111011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 238594316 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 5.85321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2913579939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907334 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g. Let n(r) be the second derivative of -7*r**3\/6 + 3*r. Determine n(i(a)).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -45 + 35 + 4 + -4 + -4 + -81?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 32.2411 and -43.6.\nAnswer: -11.3589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 36 - (2927 + -2909)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -44, -108, -216, -380?\nAnswer: -612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.1482um to nanometers.\nAnswer: 69148.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -462999b?\nAnswer: -46299a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 567019 to the power of 1\/2, to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 3850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 2\/16*2 + (-77)\/44. Which is the fourth biggest value? (a) -1\/3 (b) -4 (c) -1.2 (d) m (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14336 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 50 and -0.0977?\nAnswer: 50.0977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i - 415 = 21*i. Suppose 0 = -2*z - i + 115. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -14. Suppose -16 + 0 = -v*h. Suppose 1 = h*r - 3. Sort 2, r, 3 in increasing order.\nAnswer: r, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -67*k + 33. Let n be t(-9). Suppose -3*g - 4*j + n = -j, 1051 = 5*g - 4*j. Suppose -2*u = a - 9 - 26, g = 5*a - 2*u. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cf29 + 1b?\nAnswer: cf44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = 5*o + 4*q, 4*q + 0*q = -o + 30. Suppose -o = 2*f - 224. Calculate the greatest common divisor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -10*l. Suppose 3*s = -4*j, -17*s = -18*s - j - 1. Suppose y + a = -3*a - 14, a = -5*y - 108. Let i(h) = 2*h. Calculate s*m(z) + y*i(z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 0*u + 0*u**3 + 14\/5*u**5 + 0*u**4 - 9 + 1\/2*u**2. What is the second derivative of b(w) wrt w?\nAnswer: 168*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 25*q**2. Let v(x) = -425*x**2. Calculate 50*h(w) + 3*v(w).\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78606422*i**6 + 2022*i**2 + 21017*i?\nAnswer: 9432770640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 2*d - d - 14, -5*d + 2*g = -5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 + 26. Let h = -24.1 - r. Suppose -2*x + p + 2 = 3*p, -5*x - 3*p = -9. Are x and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17 - 13 - (16 - 1). Let x = -11 - r. Solve w = -4*s - 14, x*s - 3*s - 18 = -3*w for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + z + 1. Let g(d) = -7*d**2 - 12*d - 8. Let x(j) = g(j) + 6*l(j). Let s be x(-5). Suppose 5*i + 553 = 4*n - s*n, 0 = n - 4*i - 553. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.5 and -24.07.\nAnswer: 36.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/5)\/(1\/10). Suppose 3*o - o + 10 = 0. Let l = t + o. Which is the nearest to l? (a) 2 (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7187*b + 8574111. Determine p(-1193).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(117) - (sqrt(117) - (sqrt(117) + (-1 + sqrt(117))*-2)))*5)**2.\nAnswer: -300*sqrt(13) + 3020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44887*d**2 + 1206469*d wrt d.\nAnswer: -89774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*c - 10. Suppose 79 + 231 = c*b. Let g be 3 + (b - (1 - -4)). What is the greatest common divisor of g and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpm when three letters picked without replacement from mbppjpjpjj?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 4) + 27\/(-30)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -d - 85, 0 = -4*o + 2*d + 17 + 323. What is the remainder when 43 is divided by 759\/51 - (-1 - (-75)\/o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -210?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, k: 3, q: 3}. Give prob of sequence kkk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 0 - 5\/((-5)\/1209) a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2. Let k(p) = 508*p. Determine k(z(c)).\nAnswer: 1016*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/60012 and 35\/346736.\nAnswer: 3120624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/5 and 5 + (-507)\/90 + -5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 4*f + f)*(-12 + 4 - 3).\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 216*b - 256*b - 397*b**2 + 484*b wrt b?\nAnswer: -794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from eyvvyvzvvsuvsvu?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 7*n + 12. Let b(w) = 9*w**3 + 2*w**2 - 1. Let p be b(1). Let s be h(p). What is the greatest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - q + 1. Let b(p) = 33*p**2 - 3*p + 3. Calculate -b(n) + 4*h(n).\nAnswer: -29*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683656237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -760 (base 8) in base 9?\nAnswer: -611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*-5*-2)**2 + (sqrt(208) - (sqrt(208) - (2*sqrt(208) - sqrt(208))*-3))**2 + 5.\nAnswer: 22677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**5\/600 - u**4\/12 - 5*u**3\/3 + u**2 + 16*u - 71. Let t(s) be the second derivative of v(s). Suppose t(k) = 0. Calculate k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (25\/(-30))\/((-15)\/9). Let m(g) = -g**2 - 5*g + 3. Let p be m(-6). Which is the biggest value? (a) l (b) p (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + t + 15 = 0. Find the second derivative of -5*d**3 + 7*d**3 - 5*d**3 - 40*d - 3*d**t wrt d.\nAnswer: -36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6262*n**3*v**2 + 129183*n**3 + 7*n**2*v**4 wrt v.\nAnswer: 12524*n**3*v + 28*n**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-5)\/300*25\/2.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -2, -1\/5, -3\/5, 11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7 + 3*s - 2*s + 7*s - 3*s. Let o(c) = 5*c + 6. Let y(z) = 6*o(z) - 5*w(z). Determine y(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 102*g**2 + 91*g**2 + 3*g**3 - 19*g - 9.\nAnswer: -(g + 1)**2*(g + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 2*o - 20, -104*h = -105*h - 4*o + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.1 * 0.4.\nAnswer: -9.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43510 and 1178?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -400545, -400663, -400859, -401133, -401485, -401915, -402423?\n\"Answer: -39*f**2 - f - 400505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2*(-1)\/12)\/(-1). Suppose 5*t = 4*t + 1. Let m = 0.5 + -0.8. Which is the nearest to 2? (a) m (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 3*h**2 + 3*h - 4. Let b = 3 + 0. Let s be i(b). Which is greater: 6 or s?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u**3 - 119697*u**2 + 1237722*u - 1437480 = 0.\nAnswer: -13310, 4\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/9)\/(((-60)\/(-18))\/(-5)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**4 + 402*q**3 + 18576*q**2 + 321726*q + 1192605 = 0. Calculate q.\nAnswer: -43, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*g + 0)*(95 + 53 - 40) as h + m*g and give m.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 - 2*t**3 + 5*t + t)*(2*t - 2*t - 3*t).\nAnswer: 3*t**4 - 18*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + 378. Suppose 5*g + 0*g = x. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17384 and 2788.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*a + 915 = 171*a for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + v = -9, -4*a - 2*v - 1 = 1. Suppose 392 = a*k + 3*g, 6*g - 206 = -k + 2*g. What is the remainder when k is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14, 9, 44, 91, 150, 221, 304?\n\"Answer: 6*a**2 + 5*a - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/7)*x)\/x)\/x*x**(-14)*((x*x**(10\/9))\/x*x)\/(x\/((x*x**(2\/11))\/x)) assuming x is positive.\nAnswer: x**(-9202\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 26 + 199. Let t be (-2)\/(-10) - 666\/g. Suppose -9*z - t = -12*z. Solve -3*v + z = -10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4915 - -218?\nAnswer: 4b31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/126*(-1539)\/(-684)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -718 rounded to the nearest ten?\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002101002211 (base 3) in base 6?\nAnswer: -20220421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 30*r**2 + 91*r - 349. Give h(27).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1440.792 + -1548.2. Let s = -107 - z. Let v = s + -0.4. Round v to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*u + 17. Let r = -3 - u. Let j(n) = 16*n**2 - 3*n. Does 29 divide j(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sssi when four letters picked without replacement from {i: 7, s: 6}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -24*v. Let m(w) be the third derivative of -w**6\/120 + 4*w**4\/3 + w**3\/6 + 10*w**2 - 1. Let g(q) be the second derivative of m(q). What is g(k(o))?\nAnswer: 144*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-4 - 1) + (-2 - -11)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -5*l - 0*j - 4*j, 3*j = -5*l + 6*l - 5*l - 38 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4\/3 (b) 3\/10 (c) 2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 + 65. Suppose -5*r - 3*n = 5, -u*n = 27 - 2. Solve 2*c + 4*g - 12 = 0, -r*c - 2*g + 0 = -6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from wxcw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54 + 54*y**2 + 54 + (4 - y - 4)*(2*y - y - 3*y) + 5*y**2 + 0*y**2 - 4*y**2.\nAnswer: 57*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-910)\/(-546))\/((-5)\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402*y + 1923 - 405*y + 273 - 51 + 1864.\nAnswer: -3*y + 4009","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 220 by -20.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 2\/7, -1\/2, 7.\nAnswer: -1\/2, 2\/7, 3\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 44.2 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 632 divided by 2.\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 231443 + 13?\nAnswer: 232011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n**(2\/59)*n*n)\/n))\/(n**1*n) assuming n is positive.\nAnswer: n**(-120\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*h**2*w**2 + 433*h**2*w - h**2 - 3530*h*w**2 + 2*h*w - 2825*h + 68*w**2 wrt w.\nAnswer: 8*h**2 - 7060*h + 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3756621*u - 7933044?\nAnswer: 3756621","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/15)*(d*(d*d**2)\/d)\/d*d)**(-16\/11)*(d\/d**2*d*d*d**(2\/7)*d)**(-1\/35) assuming d is positive.\nAnswer: d**(-37376\/8085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7527, 14853, 21961, 28851, 35523, 41977, 48213?\n\"Answer: -109*f**2 + 7653*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000023346 rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34975.\nAnswer: 5, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n = -1277108. Suppose n = 2*d + 234554. Round d to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-16)\/(-4)*(-3)\/(-36)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -9*t + 9*t - 4*t + 20*t. Let p(h) = 3 - 3 - 2*h. Calculate b(p(m)).\nAnswer: -32*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.95 + 20. Let n = m - 31.55. Round n to the nearest integer.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 9:41 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (12 + -32)) + (0 - 4) - 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, c: 8, g: 1, v: 2, l: 6}. Give prob of sequence cllg.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 56. Let l(k) = -6. Let n(b) = -4. Let a(m) = 5*l(m) - 6*n(m). Let q(d) = d - 30. Let g(r) = -11*a(r) + 2*q(r). Give g(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -1, 45 in decreasing order.\nAnswer: 45, 27, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -1)\/(-28 + 4). Let m = -3\/8 - q. Is -3\/4 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-2)\/3*(-172)\/(-8). What is the second derivative of -4*x - 61*x**4 - 4*x + z*x**4 + 1 + x**3 wrt x?\nAnswer: -216*x**2 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6633936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - (-2 + -3)) + -1. Suppose 4*l = -x*z + 3*l + 7, 10 = 5*z - 5*l. Solve o = -0 - z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((j**2 - 2 + 2)*(j - 4*j + 2*j) - 10 - j**3 + 10)*(8*j + 2 - 2*j + 9*j).\nAnswer: -30*j**4 - 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -25*n - 572. Let d be s(-23). Solve -4*o + 4*g = 12, -5*g + 2 = -o - d*g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -41. Solve -4*w = 4*y + 36, 49*y + g = -w + 50*y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l = -109 + 49 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 16*g**4 - 4*g**3 - 3*g**3 - 29*g**4 + 14*g**4 + 1 - 4*g as v + j*g**3 + r*g**2 + k*g + q*g**4 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**2 - 172093630*b - 1480810874328845 = 0. Calculate b.\nAnswer: -17209363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1002 (base 4) to base 14\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-204)\/(-102) + -1*535. Put -3, k, -4, 0 in increasing order.\nAnswer: k, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76825 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107528364 divided by -1991266.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.13 + 0.17. What is the second biggest value in 3, z, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 160*q**2 - 2*q**4 - 2*q**3 - 160*q**2 to b*q**2 + y + k*q**3 + m*q**4 + n*q and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 4*i - 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -66*g**3 + 307*g**2 + 67*g**3 - 121*g**2 + (-2*g**3 - g**3 + 2*g**3)*(0 + 1 - 4).\nAnswer: 4*g**3 + 186*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - -3 - (2 - -1). Suppose 5*n - 7 - 3 = 5*k, -3*k + n + 2 = l. Suppose q - 6*q + 42 = k*j, 4*j - 4*q = 112. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5544 (base 8) to base 16.\nAnswer: -b64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 9, -16, -71, -168, -319?\nAnswer: -536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -5174.6439.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 57 = -2*t + 3*g, 0 = -5*g - 25. Let z = -6935\/664 + -98\/83. Find the common denominator of z and 3\/(-6)*(-122)\/t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - c. Let h be (12\/(-9))\/(8\/(-18)). Let t be s(h). What is the remainder when 69 is divided by -2 - 3\/(t\/(-40))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*n - 3 + 2 + 1 to the form h + b*n and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y + 54. Let w be o(-9). Suppose -27*m + 25*m = -w. Is m a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2157 - -3855. Let z = y + -918. Suppose -14*q + 4*q = -z. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t - g - 420 = 0, 4*t + 5*g - 396 = 0. Let f = 71 - t. Let w = 36 + f. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16 - (15 + -25 + 23). Solve t - 3*t - 11 = r*a, 5*a + 10 = 5*t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and -2911464.\nAnswer: -58229.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5 + 821\/165)\/(-2 + 543\/240) and 97\/2310.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 x when four letters picked without replacement from {x: 8, a: 8, t: 4}?\nAnswer: 448\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 6*i + 1288. Let u = i + 3221. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1577764 by 524.\nAnswer: -3011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-2)*((-32)\/(-184) - (-2260)\/230).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**3 + 524853*v**2 = 0.\nAnswer: 0, 524853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001678374754 to seven decimal places.\nAnswer: -0.0016784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121490703.\nAnswer: 3, 79, 170873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14507 is divided by 14495.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.17 (b) 3 (c) 0.5 (d) 4 (e) 6 (f) 0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**7\/315 + a**6\/36 + 7*a**5\/90 + a**4\/12 - 193*a**2. Factor p(r).\nAnswer: 2*r*(r + 1)**2*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 0 - d)*(3 - 5*d - 3)*(-2*d + 2*d - d) to the form w*d**3 + n + u*d + z*d**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 204620881 to the nearest integer?\nAnswer: 14305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13820*-0.06\nAnswer: -829.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 30*m + 188. Let u be p(-14). Which is bigger: -233 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, w: 2, y: 2, v: 1, x: 2, i: 1}. Give prob of sequence iy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-30)\/((-11340)\/1071)?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2109 in 3, -24, -3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1241 is divided by 113?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 199 or 66?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 599139 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.792158 litres in millilitres?\nAnswer: 9792.158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2347*y + 2347*y + 853*y**4)*(4 - 4 - 7) in the form p + k*y**4 + z*y**2 + d*y**3 + a*y and give k.\nAnswer: -5971","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8599833 and 74531886?\nAnswer: 223595658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + v - 14 - 3*v)*(-2 - 7*v + 4 - 1) - v**2 + v**2 + v**2.\nAnswer: 15*v**2 - 23*v + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*k, 6*w - w + 3*k = 0. Solve 0 = -5*g - w*g + 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 266*q**5 - 352*q**2 + 72300*q.\nAnswer: 5320*q**3 - 704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34947\/1230*(-12)\/27. Let z = -8\/205 + s. Find the common denominator of z and -101\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1 - 1))\/(16 - (-627)\/(-44)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42080 divided by -2?\nAnswer: 21040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 873, 25 in descending order.\nAnswer: 873, 25, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/70 and 121\/80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 54\/90 - 144\/(-10). Calculate the highest common divisor of 15 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 4*w + 5. What is n(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y. Let g(s) = 3*s. Let h(u) = 2*u**2 - 11*u + 8. Let v be h(4). Let z(p) = v*o(p) + 10*g(p). Let i(m) = 5*m. What is i(z(l))?\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*g - 10*g = 2472535. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -247*a**6 + 638*a**2 wrt a.\nAnswer: -29640*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 4:38 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - s = 6, 4*r = 5*s - 23 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1942596 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2, 95575, 1, -9 in increasing order.\nAnswer: -9, -2, -0.5, 1, 95575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20403 and 53929663?\nAnswer: 2267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 227609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o + 2 - 2)*(-5 + 1 + 3 + (3 - 1 - 1)*(3 + 0 - 4) - 1 - 2 - 4) as x + c*o and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 4) in base 3?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + 29 - 30 - (0 + -1)) + -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 14. Let p(r) = -2*r**2 + x - 22 + 3*r**2. Give p(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*z - 12*z - 576 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -302318 - -4532552\/15. Let h = -148 - x. Sort 0.1, h, -3\/2 in descending order.\nAnswer: 0.1, h, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2071*x + 717*x + 638*x - 376*x)*(-2*x + 5*x - x - 4*x**2).\nAnswer: -12200*x**3 + 6100*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45564 is divided by 389.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 + 165*d - 94. Give h(54).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 5 + 2 + (-1 - 2 + 2)*(-2 + 0 + 0))*(-2*d - 2 - 20*d + 4*d) in the form w*d + f and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*l - 112*l + 2706 = -229*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*l + 128, 2*v + l = 10 + 69. What is the highest common factor of 592 and v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -86 - -117?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -43*b**2 + 2. Let o(z) = 23*z. Calculate o(f(k)).\nAnswer: -989*k**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(99) + -5 - (sqrt(704) + 1 + sqrt(11)))**2 + -2.\nAnswer: 60*sqrt(11) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 3*v + 4*v)*(2 - 1 + 0) - v + 2*v + 1 - 2.\nAnswer: 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*(sqrt(243) - (sqrt(243) + (sqrt(243) - sqrt(243)*-1))) - sqrt(243) - sqrt(243))\/((2*sqrt(108))\/sqrt(12)).\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**8\/1680 - 7*j**6\/360 - 4*j**3 - 5. Let t(v) be the third derivative of w(v). Find the third derivative of t(x) wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -538*q**2. Let o(r) = -912*r. Determine o(m(h)).\nAnswer: 490656*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 2:04 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m - 142 = 38 + 9 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-8) + -6 + 940\/130\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 - 1 - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.017 - 0.117. Let v = -3 + 4. Which is the closest to v? (a) -2 (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/((-40)\/300).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 6:29 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - 26) + (-7)\/(-2)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96740 is divided by 815.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -113 and -1038 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-7))\/((-78)\/(-273)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7198 + (0 + 3 - 5). What is h rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*n - 5 = 182*n - 5*x, 4*x = -5*n + 46 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -186*t**2 + 7 - 14*t**3 - 5 - 2*t - 173*t**2 + 5*t**3 + 325*t**2 to the form f*t**2 + l*t + u + o*t**3 and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 3*l - 12, -4*l = -4 + 24. Suppose 5*q - 2*m = 4*q - h, -2*q - 6 = 2*m. Let r(t) = -7*t - 8. List the prime factors of r(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g - 15*g - 10 = 2*h, 4*g - h + 13 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**3\/3 - 3*j**2\/2 + 9*j - 185. Determine t(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -637, 5, 0, -12 in descending order.\nAnswer: 5, 0, -12, -637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 511.3 - 582. Let p = -71 - g. Which is the closest to 0.05? (a) -1\/2 (b) p (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 187808502 to the nearest integer?\nAnswer: 13704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(384)\/sqrt(8) - sqrt(3)))\/(sqrt(56)\/(sqrt(2268)\/sqrt(9))).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 5*s + 105, -3*d = s - 4*s - 81. Does 10 divide 4102\/10 - 6\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3012, -12156, -27414, -48786, -76272?\n\"Answer: -3057*d**2 + 27*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3*z + 6. Suppose -84 = -4*i - 5*b, -3*i - z*b = 2*b - 63. Calculate the remainder when i is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - v**2 - 2*v - 1. Let t(m) = -m**3 + 13*m**2 + 6*m + 1. Determine -3*h(d) - t(d).\nAnswer: 4*d**3 - 10*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19 and 0.285.\nAnswer: 5.415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24677 - -1?\nAnswer: 24700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*t**5 - 3450*t**4 + 4*t**3 + 2*t**2 + 947360*t.\nAnswer: 240*t**2 - 82800*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -58, -4, 0, -1 in decreasing order.\nAnswer: 3, 0, -1, -4, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56*5\/10*(-507)\/(-156).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**2)\/(l\/(((l*l**3\/l)\/l*l)\/l))*l**(1\/8)*l\/(l\/(l\/(l*(l**(-5)\/l*l)\/l))*l*l))\/(l\/l**(-3)*l*l**1*l**3\/((l*l**8*l*l)\/l)) assuming l is positive.\nAnswer: l**(41\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/55 and 2\/(-15) - (-320)\/330.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.037 - -146.037. Let t = y - 145.999923. Round t to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3331, -43, 331 in ascending order.\nAnswer: -43, 331, 3331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(-z**2 + 2*z**2 + z**2) + 3*z**2 - 3*z**2 - z**2 + 9 + 16*z**2 - 9.\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by 178\nAnswer: -21\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjgfcjr. What is prob of sequence gr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2*x = 2*o - 2*o + 20, 32*o + 4*x = 504 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 394*d**2 + 3*d + 2. Let l be v(-1). Find the second derivative of 4 + l*f**3 + 33*f**5 - 393*f**3 - f - f**5 wrt f.\nAnswer: 640*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16a - 6916?\nAnswer: -6a84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 + 2200*p**3 + 26208*p**2 + 104576*p + 139264.\nAnswer: 2*(p + 4)**3*(p + 1088)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 29. Let p = -19 + q. Let r be (-1 + 0)*(-16)\/(-56). Put r, -2, p in decreasing order.\nAnswer: r, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**7\/7 - 49*i**6\/6 - 18*i**3 - 38. What is the third derivative of m(a) wrt a?\nAnswer: -120*a**3 - 2940*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - t**2 - 3*t**2 - 5*t**2 + 22*t**2 + 4*t**2 + 2*t**2 + 0*t**2 - 4*t**2 + (2*t + t - 2*t)*(-4*t + 5*t + 0*t) to w*t**2 + c + a*t and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 6 - 10) + 1 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 947185?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3*k + 493, -15*g - 4*k + 120 = -14*g. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**6*t*t*t**(-1\/3)*t)\/(t**(-2)*t\/(t\/(t\/(t\/(t\/t**(1\/5)))))) assuming t is positive.\nAnswer: t**(163\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1433.\nAnswer: -1\/1433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97644 and 26070?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 5*b**2 - 3*b. Let u be n(4). Suppose -2*d + u*d - 20 = 0. Solve -3*z - z + 2*m = -d, -3*m + 35 = 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 2*b - 3440, 3*j - 4*j + 2*b = -688. Calculate the least common multiple of j and 7.\nAnswer: 4816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = 15*o - 946. Solve -3*b + 31 = o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 3. Let q be y(-3). Let c(j) = -2*j - 11. Let f be c(q). Suppose -2*l + 5 = -7*l, -6 = -2*g + 2*l. What is the greatest common factor of f and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 1\/6*g**3 - 9*g + 0 + 0*g**2. Determine m(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - i + 1)*(-7*i**3 - 2*i**3 - 3*i**3 + 2*i) to the form g*i + o*i**3 + z + j*i**4 + q*i**2 and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 27*k - 16. What is the remainder when 218 is divided by c(26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -1497*a + 1495*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cacqa. Give prob of sequence caq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -211.5 and -4.\nAnswer: -215.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7686 and 680391621?\nAnswer: 3843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - sqrt(121)*2)*-2 - sqrt(121))\/(2*sqrt(704)).\nAnswer: sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1910 = -34*r + 606. Suppose -r*i = -72*i + 14. Let o(v) = -3*v + 2. Let u(l) = -6*l + 4. Let k be 5 - (2\/2 + 0). What is i*o(x) + k*u(x)?\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -751200 to the nearest 10000.\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 667 + -665. Let x be ((-9)\/(-2))\/((-6)\/(-8)). Solve -4*k = x - o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 1550 - 1559. Let j = 0.18 + 6.32. Let i = j - 6. What is the second smallest value in 0.3, q, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**5\/4 + 29*c**4\/2 + 34*c**3 - 76*c**2 - 156*c + 72 = 0. What is c?\nAnswer: -6, -2, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273 = -43*q + 28 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 13) to base 2.\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14583.5 - 16273. Round l to the nearest ten.\nAnswer: -1690","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 186?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-590400)\/12915*(-21)\/(-12)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (184\/(-276))\/((-180)\/(-81)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/(-20)*(2\/4)\/1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 20*x**2 + 32*x - 67. Let a(s) be the third derivative of -s**5\/20 + s**4\/24 - s**3\/6 + 152*s**2. Let n(c) = 21*a(c) + 3*j(c). Solve n(r) = 0.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.6 times 13?\nAnswer: 2230.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/32 and -71\/5696.\nAnswer: 5696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -65 - 6004?\nAnswer: -6070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114*k**3 + k - 68.\nAnswer: 684*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 84321494681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/5)\/s)**(5\/8))**(-3\/2)*(s**(2\/5)*s*s)\/s*s*(s**2\/s)\/s*s**4\/s**(3\/7) assuming s is positive.\nAnswer: s**(4079\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - 1 = 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/7))**(-1\/37)*(l**0\/l*l)**(14\/3))**14 assuming l is positive.\nAnswer: l**(4\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -111, -245, -391, -555, -743, -961, -1215?\n\"Answer: -n**3 - 127*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-6) - 21\/(-6). Suppose h*d + 2*d = 15. Suppose -24 = -4*o - q, 0 = o + 2*q - 4 - 9. Solve -d*k = -n + o*n - 10, -4*k - n - 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(245) + -2).\nAnswer: -6 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 71?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2647 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**4 + 2*a**3 + 93*a**2 + 4296*a wrt a?\nAnswer: 36*a**2 + 12*a + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 - 4*s - 39. Let i(h) = -10*h**2 + 13*h + 117. Let v(t) = 2*i(t) + 7*z(t). Let y be v(8). Solve -3*c - y = 0, 5*o - 18 = c + 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Suppose -1 = y + 2*z - 13, 1 = -f*y + z. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 113374625?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -916*i + 42954. Determine v(47).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 263013136951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmw when three letters picked without replacement from {w: 3, m: 5}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1319799 is divided by 409?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -8*r**2 + 0*r + 251 + 3\/2*r**4 - 44\/3*r**3 + 44\/5*r**5 + 5\/3*r**6. Find l such that f(l) = 0.\nAnswer: -4, -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-6))\/((-100)\/6). Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -345182 at most as big as 0.29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z**3 - z + 3*z + 0*z**3)*(0 + z + 0) - 15*z**4 - z**4 + z**4 to the form r*z + x*z**2 + p*z**3 + b*z**4 + g and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7))**(-2\/125)\/((v\/v**(-7))\/v**9) assuming v is positive.\nAnswer: v**(871\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + (-99)\/18)*(-8)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 286 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6bed6 - -2?\nAnswer: 6bed8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -8. Let v = 0.099 - 0.047. Let x = v + -0.052. Sort x, p, 3 in descending order.\nAnswer: 3, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*k + a + 30, -k + 3*a - 6 = 0. What is the least common multiple of k and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 10 = 2*j - 14, -x - 10 = -j. Let o be -171 + (77\/33 - (-2)\/3). Calculate the smallest common multiple of j and (0 - (5 - 1))*o\/96.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**2 - 222888*r - 4139921712 = 0.\nAnswer: -37148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1168\/8647 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1696 and 5088?\nAnswer: 5088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.682 * 977.\nAnswer: 1643.314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -32*l + 45. Let m(t) = 63*t - 90. Let o(n) = 9*k(n) + 4*m(n). Calculate the lowest common multiple of o(0) and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-5)\/u*u*u*u**(-4))\/(u**(-4)*u**(2\/5))*(u**0)**(-2\/13)*((u*u*u*(u**(2\/5)\/u*u)\/u*u*u)\/u)\/u**0 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/15 in 1\/6, 5, 0.01, 2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 1040.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16\/387 + 1867\/258. Find the common denominator of q and 41\/864.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 279175 and 325.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 16*f + 17. Give i(-12).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 x when three letters picked without replacement from {x: 3, e: 3, i: 2}.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (1 - -4 - 6)) + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -443\/8 + 56. Let r(a) = a**3 + 4*a**2 + 2*a - 2. Let g be r(-4). Find the common denominator of c and (-136)\/(-12)*(-3)\/g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*k = -11 - 2, 3*a - 2*k = -3. Put a, -2, -1 in ascending order.\nAnswer: -2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3, -847, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1102705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.432469 rounded to 3 decimal places?\nAnswer: 2.432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 7*o. Let m = o - -4. Suppose 0*u - z = -5*u + 100, -m*z = 0. Solve 9*i = 4*i - u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2191779889 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1311 = 4*c. Let d be (1*-4)\/12 + 12\/9. Is (d + 50)*c\/57 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.93964 rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -4.166?\nAnswer: 0.4166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.03 + -0.03. Suppose 2*g - 5 = -3*g. Which is the nearest to 1? (a) g (b) k (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 167 + -164. Solve -3 = h*b + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -336 - -144. Let b = -184 - z. Is b at least as big as 49\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 - 3)*(7 + 9*u - 7)*(0*u**3 + 0*u**3 - 3*u**3) in the form l*u + f*u**2 + j + h*u**4 + x*u**3 and give h.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1024 - 898. What is the greatest common factor of 420 and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -4. Let h = -3587\/15 + 725\/3. Let m = h - 11\/5. Sort -2, m, t in ascending order.\nAnswer: -2, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 20.2357.\nAnswer: -161.8856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1379627400)\/32 - (-9)\/(-12). Let l = -12118390 - i. Suppose -5305033 = -3*p + l. What is p rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 6*s = -s - 25, -4*o + 19 = 3*s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 3, s: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10722 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10761474.\nAnswer: 2, 3, 1793579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139775.\nAnswer: 5, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/2 in 0.3, 1\/4, 0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b. Let h be ((-10)\/6 - -3)*(-12)\/8. Let a(q) = -q**2 + 6*q + 2. Determine h*a(n) + 10*d(n).\nAnswer: 2*n**2 - 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 784*f**2 + f + 16. Let m = 301 - 304. Is n(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and -0.1133177.\nAnswer: 0.013598124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 10, -264 - 2180 = -3*i + 4*d. Find the third derivative of -i + 808 - 45*h**4 - 38*h**2 wrt h.\nAnswer: -1080*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5*h = -21, 2 = p - h + 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1*2)\/(-1))\/((-656)\/(-984))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 573111 + -36?\nAnswer: 573053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2542 is divided by 845?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.058523 rounded to four dps?\nAnswer: -0.0585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 474817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**2 - 5*k. Let m be v(2). Let x(d) = m - 32*d + 1 + 2 + 23*d. Let s(n) = -5*n + 3. Determine -7*s(b) + 4*x(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -40*i + 44*i. Is 936\/48*(i + 1) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 25 + 2\/((-2)\/(-3)). Let b be (14\/(-1))\/7 + m\/9. Which is bigger: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489*k + 6538 = 15843 + 18568 for k.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1324\/21 + 63. Which is bigger: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 217.44283 + -217.61. Let c = y + 0.17. What is c rounded to four dps?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h - 72. Give g(0).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 15*s + 28. What is j(8)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 15*j + 18. Let y be o(-14). Solve 0*h - y = -2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.101 - -59.899. Let g = p + -62. Let b = 0.5 - 2.5. What is the nearest to g in 0.2, -1\/2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**4\/4 - 4*r**3\/3 - 15*r**2\/2 + 18*r + 74. Let j be d(6). Solve j = -2*w - 2*l + 12, 2*w + 4*l - 9 = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51911 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -4, 7 in ascending order.\nAnswer: -4, -3, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -0.07 (c) -2 (d) 1\/3 (e) -2\/35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1006 - 1010. Put -1357, -4\/7, v, 0.1 in increasing order.\nAnswer: -1357, v, -4\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2094 (b) 0 (c) 2\/9 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74485727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-87)\/4 + 82 + -60.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4 + 4 - 3*o. Let a(p) = 15*p**2 - 13*p**2 - 3*p + 3*p. What is i(a(u))?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6764 and 12?\nAnswer: 20292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + 16.8. Let w = c + -26. Put w, 0, 2\/5 in descending order.\nAnswer: 2\/5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50523 is divided by 16836?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1525.35 and -2182.\nAnswer: 3328313.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-1716*u + 9 + 3530*u - 1736*u).\nAnswer: 156*u + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495 + 983 = -147*y + 488 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffzzz. Give prob of picking 1 f and 3 z.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.66*-0.1.\nAnswer: -0.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 24*v**2 - 52*v - 20. Give u(26).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -9\/92 (b) 2 (c) 9 (d) -408\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*z**3 + 2*z**2 - 2*z**2 + 24*z**3.\nAnswer: 46*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630 = 6*n - 15*n. Suppose -n = 4*u - 0*x + 2*x, 3*x = 3. Let q be 12\/u + (-8)\/(-12). Solve q = b - 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.8371429 centuries?\nAnswer: 1004.57148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211726.24 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21404 + 24123?\nAnswer: 2214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 84*k + 152.\nAnswer: 4*(k + 2)*(k + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.260652ml in litres?\nAnswer: 0.000260652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -300b14 (base 14) to base 11\nAnswer: -a0394a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 12 = 4*x + 16, 0 = -i - 2*x. Solve 20 = -y + i*k + 5, 5*k - 40 = -3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 22. Suppose 0 = u - 2*u + 113. Let x = -449\/4 + u. Which is bigger: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5221 = -4*s, -2*g + 5*s + 5378 = -5055. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(128))**2.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 5*n - 17. Give a(-10).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**3 + 3*l**3 + 8*l**3 + (2*l**2 + 0*l + 0*l)*(6*l + 2*l - 9*l) to the form w + o*l**2 + v*l**3 + c*l and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xddx when four letters picked without replacement from {d: 2, x: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4179, -8363, -12549, -16737, -20927, -25119, -29313?\n\"Answer: -h**2 - 4181*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.1505 to one decimal place.\nAnswer: -31.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 take away 267549436848?\nAnswer: -267549436847.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**3 + 2*c**2 + 2*c + 1. Let m be 1 + (2\/2 - 3). Let k be n(m). Suppose 90 - 303 = -k*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**2 + 9051. Let f(y) = -2306*y. Calculate f(r(t)).\nAnswer: 4612*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*m - u + 171, -5*m + 1223 = u + 1338 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17.7, 3\/2, 522, 2\/5, -2, 5?\nAnswer: 522","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)*1 + 3 + (sqrt(250)\/sqrt(5))**2 + -1 + (sqrt(200) + -5 - (sqrt(50) + 3 + 1))**2.\nAnswer: -85*sqrt(2) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -3*1*(29\/(87\/10) - 6) and 110.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 179c0 - -e21?\nAnswer: 187e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 7*k + 3*k)*(-8*k**2 + 37*k**2 + 12*k**2) + (2*k**2 - k**2 - 7*k**2)*(-2*k - 4 + 4).\nAnswer: -70*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -2, -119282.9 in ascending order.\nAnswer: -119282.9, -2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 495059 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lglllglg. What is prob of sequence gl?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14516252\/7 or -2073751?\nAnswer: -14516252\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 4*m**2 - 5*m + 2. Let o be d(-5). Suppose -o*k - 1 = -9. Let p be ((-8)\/(-2))\/k - -1. Solve 3*n = p*n - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 times -8.7\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - d - 3. Let z be f(-2). Calculate the remainder when (-7)\/(15\/(-6) + 2) is divided by z + -2 - (0 - 7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/(-18))\/(1\/(-3)) - 2. Suppose -3*v = -3*s + 75, 3*s = s - u*v + 55. What is the remainder when s is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3085, 14090, 32431, 58108, 91121?\n\"Answer: 3668*i**2 + i - 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (6*(sqrt(700) - (-4 + sqrt(700) + -3)) - -3*(sqrt(700) + ((sqrt(700) + 0)*6 - sqrt(700)))))*-4)**2.\nAnswer: 270720*sqrt(7) + 3664144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4. Suppose 0 = -3*f + 7*f + 20. Let y(z) = z**2 - 5. Let i(v) = f*q(v) - 4*y(v). Let c(h) = 4*h. What is c(i(k))?\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316384873.\nAnswer: 7, 433, 104383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 444*h**2 - 1764*h + 1760.\nAnswer: -(h - 440)*(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/(-4)*(-36)\/(-30))\/3. Let v(j) = 8*j**2 - 6*j + 2. Let f be v(s). Calculate the highest common divisor of f and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -418 - -416. What is the biggest value in -3\/5, g, 2, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (636\/(-424))\/(120\/928).\nAnswer: -58\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -127, -125, -123, -121, -119, -117?\n\"Answer: 2*c - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-210)\/77*(-22)\/(-18))\/(-4 + (-38)\/(-9))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21683711\/5 - 260296603\/60. Let u = h + 7723\/5. What is the common denominator of (-140)\/32 - (-2 - 1) and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1520 + -15335?\nAnswer: -21255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 + (0 - 1) - (-1124 + 1127).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -4*s - 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 75, 1259, 4467, 10713, 21011, 36375, 57819?\n\"Answer: 169*q**3 - 2*q**2 + 7*q - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 50476766.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*w**2 - 136*w**2 + 56278668071 - 56278668071.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*t = -370 + 80 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*23520393.3\nAnswer: -4704078.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + (sqrt(539) - (2 + sqrt(539))) + sqrt(539) - sqrt(539)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 218*z - 51. Let l(t) = -255*t + 50. Let j(q) = 7*h(q) + 6*l(q). Give j(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-30)\/(-20) + (-2)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.95 + -0.05. Let n = 0 + x. Let u = -1.8 + 1.7. What is the closest to u in n, 3\/4, 9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1421 and 812.\nAnswer: 5684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685 at most as big as 48900\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -8\/7 (b) 0.05 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggassgqhyhgh. What is prob of sequence yhag?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((3*sqrt(312))\/sqrt(12))\/(3*(sqrt(2) + 3*sqrt(2))).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f - 359 + 359 + (1 - 1 - 2)*(-1 - 3 + 5)*(1 - f - 1).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 8 - 1 = -4*p, 5*p = -2*c + 8. Calculate the common denominator of -31\/12 and ((-125)\/(-210))\/(p\/8).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 28193 and 28197 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 10*s**2 + 56*s. Suppose -12*b + 180 - 48 = 0. Is g(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811519?\nAnswer: 811519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14 * -16415.189.\nAnswer: 2298.12646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14004229 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -5*n + 3*j - 15, 4*n - 4 = -4*j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -58*r**2 + 696*r + 16. What is y(12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91 + -135. Let m = -47 - x. Sort -1\/3, m, -9, 1 in decreasing order.\nAnswer: 1, -1\/3, m, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/8 + 10491*v**2\/4 - 104885*v\/8.\nAnswer: -v*(v - 20977)*(v - 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006526 to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 33 = w, 0*w - w = -1. Let j = g + 51. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/5*(-20)\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19983334?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = -0*t - 2*t, 0 = t + 5*b + 12. Suppose -j - 2 = -q - 0, 4*q - 7 = 5*j. Let w be j\/2 - (-3)\/2. Solve -t*r - w*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*l**2*n**2*w - 13*l**2*n**2 + l**2*w + 3*l**2 + 820*l*n**2*w + 14*l*n*w - n**2*w wrt l?\nAnswer: 22*n**2*w - 26*n**2 + 2*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 4, -99, 7, -54 in increasing order.\nAnswer: -99, -54, -2, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(9\/4)*f**20 assuming f is positive.\nAnswer: f**(89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (8 - 1) + -2 + (-3 - -1) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/486504 and 43\/7140.\nAnswer: 289469880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 69, 136, 215, 312, 433, 584, 771?\n\"Answer: u**3 + 60*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 78*b**3 + 20*b**2 - 4*b - 2. Let s(l) = 81*l**3 + 16*l**2 - 3*l - 2. Calculate -4*h(f) + 5*s(f).\nAnswer: 93*f**3 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 2*b - 757. What is m(-28)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 129\/(-9))*(-126)\/(-14). Factor 12*y**3 - j*y**4 + 0*y + 0*y + 133*y**4 - 16*y**2.\nAnswer: 4*y**2*(y - 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 v, and 1 s when three letters picked without replacement from {l: 1, s: 5, v: 5, z: 1, a: 3}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5879*j + 3 + 2052*j + 1160*j + 957*j.\nAnswer: 10048*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -946*h**3 + 261*h**3 + 682*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/891 and -13\/693?\nAnswer: 6237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccccc. Give prob of picking 4 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, b: 5, e: 5, c: 1, q: 1, x: 3}. Give prob of picking 1 e and 1 b.\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 8*s - 9. Calculate x(10).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 5, -3, 5.834, -0.11 in decreasing order.\nAnswer: 5.834, 5, -0.11, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*q = -102*q + 8. What is the tens digit of (-1)\/(1 - q)*(-724)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 6*p - 6. Let q be k(4). Suppose 0 = -3*s - 5*j - 19, -4*j - 7 = -s - 3*j. Solve 3*l = q*c + 15, -7*c - 5 = -s*c - l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*j - 2 + 3 = 0, 3*j = -3. Let m(g) = 47*g**2 - 46*g**u + 4 + 4 - 8*g. What is m(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q = 12*q + 24. Solve -2*z + 3*g = 10, -g = -q*z + z - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**2\/2 - 13*b - 397. Let q(d) = -8 - 3*d + 2*d + 1. What is 3*n(j) - 5*q(j)?\nAnswer: 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19006010 is divided by 6380.\nAnswer: 6370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/12 and (-2*(-114)\/(-168))\/(3\/2)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(448) + sqrt(448)*-3).\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 64523770*k + 1040829223753225.\nAnswer: (k + 32261885)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*h - 83, 3*x = -2*h - 26 - 32. Let q = 15 - 21. Let l = q - x. Solve -2*j = -3*j + 4*m - l, -3*m = 5*j - 22 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (525\/(-18))\/(-7) - (-3)\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -107*o**3\/6 + o**2 - 9*o. Let j = 4 - 7. Is k(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 53\/689 - 25\/(-13). Suppose t*x - 2727 = -k, x - 5*k = -0*x + 1336. What are the prime factors of x?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.33 - -33.23. What is n rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*n*p**2 - 59021*n*p - 19603*p**2 wrt p?\nAnswer: 8*n - 39206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5*((2*(sqrt(4400) + 0 + sqrt(4400) - sqrt(4400)) + (sqrt(4400) + 1)*1)*3 + 1))**2.\nAnswer: 36000*sqrt(11) + 8910403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.285 - -0.015. Which is the nearest to o? (a) 0.1 (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972) - sqrt(972)*2)**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315) - (sqrt(315)*-2*2 + sqrt(315)))\/(sqrt(9) - sqrt(18)\/sqrt(2)*4))\/((sqrt(80)\/(sqrt(24)\/sqrt(3)))\/(sqrt(12)\/sqrt(54)))*6.\nAnswer: -8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Collect the terms in 4*q**2 - 1297 + 9*q**3 + 356 - 2*q**2.\nAnswer: 9*q**3 + 2*q**2 - 941","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.07512 to zero dps.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 230 + 131. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**4\/7 + 22948*s**3\/7 + 206678*s**2\/7 + 183728*s\/7 = 0.\nAnswer: -8, -1, 0, 11483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1176 - j + 587 + 588 + 308*j**4 to the form s*j**4 + z*j + n*j**2 + a*j**3 + f and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10642210853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -z - 8. Which is smaller: -9 or z?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14951550 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*s + 19 = 0, -3 = -u - 2*s - 12. Let d(p) be the first derivative of -2*p**3\/3 + 2*p + 3. Let a be d(u). Solve a*b - 3*b = 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 0*w + 3*w + 8*w. Let j(x) = 4525 - 4525 - x**2. What is j(q(z))?\nAnswer: -121*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 537375355 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76 + -76. Let h = -0.85 - -0.05. Let o = 0.4 + h. Put x, o, -7 in ascending order.\nAnswer: -7, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 0)\/(9 + -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - q + 76, 10 + 6 = 4*q. Suppose 0 = 3*g - d - 105. Is 30 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 34\/5 (c) 866.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 23145843.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3629?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -5, 44, -0.06, -41, 1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15885727 and 1573?\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -5, -57, 3 in descending order.\nAnswer: 3, 1, -3, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, i: 1, x: 1, q: 1, n: 1}. What is prob of sequence xb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7526 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 777760*b**2 + 4666575*b + 90.\nAnswer: 5*(b + 6)*(155552*b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 69, 0.4, 1385, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5\/3 + 1. Let d = 0.085 + -0.385. Which is the closest to -1? (a) -0.2 (b) d (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.134876 plus 352.269?\nAnswer: 352.403876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*l**5 + 10*l**4 - 1084*l**3 + 2*l**2 + 12*l + 155004.\nAnswer: 240*l**2 + 240*l - 6504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o - 560 = 196. Is -42 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 12*c + 2. Let k = 20 - 19. Let q be s(k). Suppose q = -0*l + 2*l. What is the highest common factor of l and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.24 - 0.16. Let z(d) = -d**3 + 4*d**2 + 4*d + 5. Let j be z(5). What is the closest to j in 1, p, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18948194839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*q**2 - 3*q**2 - 44*q**2)*(-2*q**2 - 3*q**2 + 71*q - 78*q).\nAnswer: 185*q**4 + 259*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -30485, -30817, -31163, -31523?\n\"Answer: -7*o**2 - 311*o - 30167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3665641 divided by 7\nAnswer: 523663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npb when three letters picked without replacement from gjqjpgjgbgggpnjqn?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -60068 = -60082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 + 201*n - 201*n. Let x(c) = 7*c**2. Give t(x(w)).\nAnswer: 98*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5)\/(10\/(-88)) + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022212222010020 + -10?\nAnswer: 1022212222010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, t: 2, q: 4}. What is prob of sequence ftft?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 219. Let k = g + -138. Let b = k - 58.00094. What is b rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -464\/25, -35, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-749*n + 0*n + 0 + 2)*(-2*n + 0 + 1 + 0).\nAnswer: 1498*n**2 - 753*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058947597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**3 + r**2 - 62*r + 112. Let a be u(2). Let p(y) = y**3 - 6*y**2 + 2*y - 8. Suppose -5*c = -c - 24. Let g be p(c). Solve 0 = -g*o + a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*d + 39 = 44*d + 7*n, 3*d + 5*n = 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -125*j**3 - 2100*j**2 - 1620*j - 320.\nAnswer: -5*(j + 16)*(5*j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68\/(-6))\/((((-80)\/(-25))\/2)\/(84\/105)).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2\/11 - 3846*k\/11 - 30896\/11 = 0. What is k?\nAnswer: -8, 1931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4040*p**2 + 1821278*p**3 + 4040*p**2 - 1821279*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/293 in -5, -1\/10, -1.2, -1.3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iibb when four letters picked without replacement from vabbaivxiaiixvi.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 56*l**3 - 47*l**3 + 4.\nAnswer: 9*l**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 31 - 1 = 0. Suppose 15 = -3*v, h*j = -2*v + 68 + 90. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 - -5.8\nAnswer: -57.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1666 or -1702?\nAnswer: -1702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 24*s - 6*s - 17*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147582 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: Suppose 2*r - 808 = -176. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (3 - 5)*1. Suppose -p*l = -4 - 0. Put 1, l, 5 in ascending order.\nAnswer: 1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**3 + 24*k**2 - 147*k + 2. Let w(t) = -11*t**3 - 54*t**2 + 293*t - 5. What is 4*w(b) + 9*y(b)?\nAnswer: b**3 - 151*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 357088985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-60)*8)\/1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -20 + 15 - (-94 - (10 + 9)).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*g - 2*g - 10 = 0, -3*g - 9 = 0. Suppose 3*r = -s + 13, 2*r = 56*s - 55*s + 7. Solve -k + 4 = -i, 0 = -d*k - r*i + 13 + 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 8. What is the remainder when g is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 2*l + 0*l)*(8 - 11 + 24)*(-3*l + 2*l + 3*l).\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 7, -0.2, 2\/5, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -13, -27, -45, -67, -93, -123?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y + 1. Let i = 1 + 22. Let a = i + -16. Let j(m) = 0*m - m + a*m - 3. Determine 4*j(v) + 11*x(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*p + 2, 4*x = -2*p - 24 - 0. Let h = 4.4 + -4.61. Let q = -0.01 - h. Which is the nearest to -1? (a) -4\/5 (b) q (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*9*9\/27?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96 - 81. Solve -2*c - r = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9 and 0.2351.\nAnswer: 0.21159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + x + 16 = 3*x, 4*x = 0. Suppose a = -i*o - 14, -o = 2*a - 3*o - 12. Let c = -0.0698 + -4.9302. What is the third smallest value in c, a, -1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/4 - 1011825*g\/4 + 3288389.\nAnswer: (g - 1011812)*(g - 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1226 is divided by 602?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(153)*-1)\/(sqrt(63)\/sqrt(112)).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + w = 3*k + 13, -2*w = -10. Let g be (k\/30)\/(13\/39). Sort g, 4, 1\/7 in ascending order.\nAnswer: g, 1\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 111*x**2 + 104*x**2 + 200*x**2 - 5*x + 160*x**2.\nAnswer: 575*x**2 - 5*x + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 404 and 19615.\nAnswer: 7924460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -76187062 divided by -5441933?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39907299502471327.9999367 + 39907294939195237. Let d = h + 4563277041. Let m = 950 - d. Round m to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*x + 11 - 32 = 0, -21 = -4*u - 3*x. Let t be (-2)\/u*(-42)\/(-224). What is the nearest to 1\/2 in t, 0.6, -0.4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f = -19*f - 12. Let o(y) = y**2 + y - 7. Let n be o(f). Put -5, n, 0 in descending order.\nAnswer: 0, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (1 - 3)*(0 + -1). Solve 3*b = -2*l - l, -l = u*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2164168?\nAnswer: 2, 17, 15913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 8*f**2 - 36*f - 275. Let z be m(-8). Solve -22*d + z*d - 45 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u - 1 + 1. Let g be (120\/(-25))\/(3\/(-10)). Let q(o) = g*o**2 + 12*o**2 - 26*o**2. Determine q(y(w)).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -356, -807, -1258, -1709?\nAnswer: -2160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s - 11. Let f(i) = -i + 5. Let a(c) = 9*f(c) + 4*u(c). Calculate the remainder when 2\/(-8) - 6300\/(-112) is divided by a(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**3\/6 - f**2\/2 + 3*f. Let g be k(4). Suppose -4*i - 18 = -g*s + 15, -2*s = 5*i + 1. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 15*a + 27 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1984 - -2002 - (1 + -31)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 84225980 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 27. Let s(y) = -11*y + 72. Let i be s(7). Put -2, i, 0, u in increasing order.\nAnswer: i, -2, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 10*m + 5. Determine z(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 6*y + 4*y)*(-5*y**4 + 0*y**2 + 0*y**2).\nAnswer: -45*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -350, -2523, -8360, -19697, -38370, -66215?\nAnswer: -105068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*2\/12*(-15)\/130?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2)**(-20)*(d\/(d\/(d**(1\/3)\/d*d)))\/((d\/(d**(-2\/5)\/d))\/d) assuming d is positive.\nAnswer: d**(-616\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 59*o**9\/504 + 17*o**5\/60 + 51*o**2 + 2. Find the third derivative of b(z) wrt z.\nAnswer: 7080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*f - 256 = 123*f. Let x = 76 - f. What is the units digit of ((-24)\/36)\/(11\/x - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 89.\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + -20 + 7 + 18 - -16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 84644507 a multiple of 1865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**2\/2 + 4*f. Let s(m) = -31*m + 1 - 1 + 32*m - 4. Determine 6*q(u) - 2*s(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*k + 2*r + 32 = -237*k, -4*r - 4 = 4*k. Let t(o) = 9*o + 9. Calculate t(k).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002222 + -200020012100?\nAnswer: -200021022022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6452, -6454, -6458, -6470, -6496?\n\"Answer: -y**3 + 5*y**2 - 10*y - 6446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 5) + 11 - -4 - (-2 + 11)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k. Let u(q) be the first derivative of 0*q**2 + 0*q**3 + 3 + 1\/12*q**4 + 8*q. Let y(p) be the first derivative of u(p). Calculate y(a(g)).\nAnswer: 49*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -591*x**5 + 558*x**2.\nAnswer: -35460*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**5\/60 + 3*f**4\/8 + 5*f**3\/3 + 3*f**2. Let t be z(-8). Solve 0 = -t*q + 3*q + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -2*m + u, 112 + 0 = 4*m + 4*u. Factor s + 27 + 5*s - m - 2*s**2.\nAnswer: -2*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.5, 9\/7, 6\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6566?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -77 and -79 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15036858347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 143*b - 15905 = 147*b, 25 = 5*b. Which is smaller: 3184 or o?\nAnswer: 3184","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 7*i - 65. Suppose i + 8 = 3*r. What is the smallest common multiple of r and (-1 - 2\/(-8))*-12?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-19\/3)*a*a**(-2\/5)\/a)\/(a**(1\/21))**18 assuming a is positive.\nAnswer: a**(-797\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(68) + sqrt(68)*-1) - -6*sqrt(68)*-2)\/(sqrt(192)\/sqrt(12) + sqrt(4) + sqrt(4) + sqrt(200)\/sqrt(2)).\nAnswer: -4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 6*j**3 + 0*j**3 + (3 - 3 - j)*(4*j**2 - 2*j**2 - 3*j**2) - 2*j**3 + 5*j**3 - j**3 + (-j + 2*j**3 + j)*(0 + 1 + 1) + j**2 - j**2 - j**3.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*n - 67*n = 106*n - 2300 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 552 divided by 4.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12489.\nAnswer: 3, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2314*t + 25543. Give w(11).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 324.9343 nanometers?\nAnswer: 0.0000000003249343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -82 and -82 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -106179.\nAnswer: -530895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + 51. Let w = z - 29. Suppose 6*f = -2*f + w. What is the third biggest value in 1, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t + 126. Determine f(-19).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 * 0.1\nAnswer: -0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 16998*b + 6646199. Give i(-391).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4580 divided by -1145\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 3*v = 0, 4*v = 3*s - v + 29 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -7*x**2. Let c(f) = 25*f. Give c(j(p)).\nAnswer: -175*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1474?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (219 - 219 + 23*b**3)*(376*b**2 + 140*b**2 - 23*b**2).\nAnswer: 11339*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 373146*y + 563785*y + 138496*y.\nAnswer: 1075427*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*h**3 + 14*h - 420745 wrt h?\nAnswer: -69*h**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + m = -117, 5*f + 5*m + 50 + 9 = 6*m - 76 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 79817 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**5\/20 + 3*v**4\/4 - v**3\/3 - 11*v**2\/2 - 7*v. What is c(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(66)\/(sqrt(6) - (sqrt(6) + sqrt(48)\/sqrt(8))) - sqrt(11)) - (sqrt(22)\/sqrt(2) + 0 + -3).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 + 3*i**2 + 8*i**2 - 20*i**2 + 3*i**2 with respect to i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 4*x - 2. Let c be u(4). Which is bigger: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 6*h**2 + h - 5. Let q be k(6). Let j = q - -65. Is 20 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 307865.475 rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 1. Let k be -36*(t + 0)\/(-2). What is the units digit of (-2)\/(-4) + k\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*n - 8 = -36, 5*q + 2*n = 100. Let v = 47 - q. What are the prime factors of v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 14*n - 8. Let b be j(13). Suppose -5*x + 4 = i - 4*i, 0 = 5*x + i + 8. Let p be (0\/x - 1)\/(-1). Put b, -2, p in descending order.\nAnswer: b, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -25 - 404*(-26)\/416. Let k = 0 - -1. Which is the biggest value? (a) k (b) -0.08 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -2 (c) -5 (d) 0.08 (e) -2\/11 (f) -323\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*p + 1 = -0*r, 3*p + 2 = -4*r. Let l = 4 + r. Let f be (2*2\/l)\/((-2)\/(-10)). Solve 3*t - 2*i - f = -0*i, t = 2*i + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411203870 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - -20. Solve -3*t = -2*f - t, -5*t + r = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/19)\/(z*z**(-4)\/z*z)*(z*z**3*z)**(-14) assuming z is positive.\nAnswer: z**(-1275\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13915173 by 9.\nAnswer: 4638391\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 90 = -9*n. Calculate the remainder when -3*(-20)\/(-6)*n\/(-4) is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4332614?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9360.65962 from 1.702.\nAnswer: 9362.36162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (418888*j + 423622*j - 864370*j)*(-3 + 1 + 0).\nAnswer: 43720*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -834*o = 1464*o - 4596 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 401 = 103. Let k = 193 + i. What is the remainder when 323 is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13048677, -13048678, -13048679, -13048680, -13048681?\nAnswer: -13048682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/178 and 119\/144?\nAnswer: 12816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -70.79*-10727\nAnswer: 759364.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/4069?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 67560 to the nearest one thousand.\nAnswer: 68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -0.06 (c) -0.4 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, z: 7}. Give prob of sequence zz.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63592449.\nAnswer: 3, 19, 1115657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*r + 26 = 0, -6*r + 2*r - 14 = i. Let p = i + 0. Suppose p*h = -4 + 14. What is the highest common divisor of 25 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 4 - (-14 - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -11221200122?\nAnswer: -11221200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 + 27*u**3 + 72*u**2 + 60*u.\nAnswer: 3*u*(u + 2)**2*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, x: 1, a: 9, d: 1}. What is prob of picking 1 x, 1 r, and 1 a?\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - m = 6340 - 626, 3*j - 4285 = m. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 15*g - 138. Let k(t) = -7*t + 70. Determine 5*k(a) + 2*m(a).\nAnswer: -5*a + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h = 3. Let s be (4\/10)\/((-4)\/(-20)). Suppose -3 = -j - s. What is the remainder when h is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 421.46 - 418. Let w = c - 1.46. What is the closest to -2\/5 in 4, w, -60?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u - 2. Let v be x(-1). Let g be -1 + v - (-2 + 0). Suppose -16 = -4*s + g*s. What is the least common multiple of s and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16162399?\nAnswer: 11, 23, 193, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 0.7. Let v = 0.8 - 5.8. Let h = -8 - v. Which is the closest to -0.2? (a) m (b) -1\/6 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(4500)*2 + (-1 + sqrt(4500))*5 - ((1*sqrt(4500) - sqrt(4500)) + sqrt(4500) + 5 - -3*sqrt(4500)*-1))**2.\nAnswer: -1800*sqrt(5) + 40600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/3000 and -59\/33?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3941 - 3897. What is the greatest common factor of p and 1166?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-320)\/224 + 1116\/154 + -6. What is the third biggest value in 14, y, -25, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 347*y - 3565. What is h(15)?\nAnswer: 1640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -3\/5 (b) -2427 (c) -5 (d) -4\/3 (e) 292\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10)\/15 + 2778\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 25*v**2 + 83*v + 28. Suppose -361*d + 140 = -356*d. Let l be b(d). Determine x so that l + 0*x**2 - 1\/7*x**4 + 0*x + 1\/7*x**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 995304*n - 143323778. Calculate r(144).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -332 + 72. Suppose 5*h - 53 = -3*c, -8 = -c + 4*h + 38. What is the greatest common divisor of c and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**5\/7 + 396*u**4\/7 - 381*u**3\/7 - 1584*u**2\/7 + 1572*u\/7 = 0 for u.\nAnswer: -2, 0, 1, 2, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acddcddcdc. Give prob of picking 1 c and 1 d.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7765, -7763, -7761?\nAnswer: -7759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**3 - 28*b**2 + 62*b + 4. Give i(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 29912.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/12*6*(-2)\/(-10). Let m(f) be the second derivative of 1\/2*f**2 + 0*f**4 + 3*f - s*f**5 + 0*f**3 + 0. Differentiate m(n) wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*l = -27, 0 = k - 4*l + 6. Let q(j) = -j - 4 + 6 + j**3 + 5*j**2 + k*j**2. What is the units digit of q(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 11*z**2 - 52*z - 25. Let r be n(11). Let d = 1477\/2 - r. Solve d*j**2 - 2*j**4 + 0 - 3\/2*j**3 - j = 0.\nAnswer: -2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-22)*3\/(-12)*-9914. Let t = w + 451. Solve 2\/11*h**4 + 0*h + 0 - t*h**3 + 0*h**2 = 0 for h.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huhh. Give prob of picking 2 h.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -2\/15 (c) -279\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*g**3 + 5*g**3 + 0*g + 2*g**4 + g - 10 to y + i*g**3 + n*g + v*g**4 + o*g**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 693 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*y + 132 = -315*y - 0 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a - 14. Calculate u(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/3952? (a) -0.1 (b) -0.2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 0*k**6 + 5\/4*k**4 + 0*k**3 + 0*k**7 + 13*k + 0*k**5 + 1 + 0*k**2 + 11\/56*k**8. Find the third derivative of p(t) wrt t.\nAnswer: 1320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/7)\/((-77)\/(-98)). Sort y, 2, -0.4 in descending order.\nAnswer: 2, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -2\/219 (c) -2 (d) -19027\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t. Let w(y) = -20*y. Calculate 7*u(p) + 2*w(p).\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 197959 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 4. Let i = -3 + x. Let j = -10 - -10.1. Which is the second smallest value? (a) -3\/2 (b) j (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3327*k + 40060. Determine u(12).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + y + 69, -4*z + 5*y + 64 = -9. Suppose -3*a = -2*u + z, 6*u - 24 = 3*u + 4*a. Let p = 15 + -7. What is the least common multiple of u and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1244928892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33.3 - -33.29373. What is w rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6 = -r, -3*r + p + 2*p - 6 = 0. Solve 5*u - u - 4 = 0, -6 = -4*i - r*u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -395, -58.1, 0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36219899?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/17)*f**(-3\/29))\/(f**(-31)*f**(-8\/7)*f))**16 assuming f is positive.\nAnswer: f**(1772336\/3451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2400)*-1 - sqrt(2400))*3)\/(1*sqrt(392)*2 + sqrt(392) + sqrt(392) + (sqrt(392) - sqrt(392)*1)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13a3 (base 13) to base 11.\nAnswer: 214a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2654 + -0.0346. Let y = 1.6 + 17.4. Let q = 14 - y. Which is the second smallest value? (a) f (b) q (c) -3\/5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -270 + 2?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 0*c + 1\/6*c**3 - 1\/24*c**4 - 4*c**2 + 0. Does 10 divide z(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - 1 - (-1 + -31). Suppose 5*q = g + 71. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 o, and 1 a when three letters picked without replacement from angycoa.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268 = -4*j - 0*j. Suppose j = 5*d - 48. Is d a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1107?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*s + 1342 + 523 = 9 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1844 + 1843. Which is the nearest to m? (a) -43.2 (b) -2\/5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3176097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -298*f - 50*f**2 + 298*f in the form k + m*f**2 + y*f and give m.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(2662) + -5*sqrt(2662)*2 + sqrt(2662) + sqrt(2662)))\/((sqrt(140)\/(sqrt(20)\/sqrt(2)))\/(-5*sqrt(7)*-2)))**2.\nAnswer: 104350400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342*m - 102*m = -540*m - 125*m - 20815 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - s + 15 - 1, 3*s = -2*u + 7. Let r be 15*2\/u + -6. Which is smaller: r or 19\/20?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 429 divided by -4.\nAnswer: -429\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 9*b - 8. Let w be o(8). Suppose u + u = w. Suppose u*q = q - 49. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, u: 1, m: 2, a: 2, p: 1}. Give prob of sequence pma.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11189, -1\/3, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*d + 407 = 31*d - 1920 + 199 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -212936572*f**3 - 146711723*f**2 wrt f.\nAnswer: -1277619432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1953 + -c?\nAnswer: 1944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*z = 147*z - 2*b, -41*z = -45*z - b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 + 19*r - 33. Let c be a(7). Solve c*z + 4*z + 12 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/3)\/((-3)\/(3 + -12)). Suppose -5*w - 3*k - 16 = 19, -3*k + 35 = -f*w. Let o(z) = z**3 + 8*z**2 + 5*z - 13. Determine o(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.061 and -0.042?\nAnswer: 0.002562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/2 - (-5)\/10. Suppose -4*n + 4 = -g - 3*g, 14 = d*n + 4*g. Let w = 0 - n. Which is the closest to 2? (a) w (b) 1\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 756 and 33012?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-20)*5)\/((-1)\/(-172)). Let f = 134 + v. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -4*j - 6. Let u be (-1)\/4 + (-50)\/j. Let h = u - 5. Calculate the remainder when h is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -476, -5, -1465, 2 in ascending order.\nAnswer: -1465, -476, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101000002111 (base 3) in base 9?\nAnswer: 1330074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*b + 89*b - 61018772. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3 - 51 = 0. Suppose -25 + 73 = t*b. Solve 15 + 5 = b*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 20*n**2 - 76*n + 4. What is the least common multiple of 6 and j(4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = -29*c - 88 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*y**3 - 3*y**4 + 24*y**3)*(3 + 3*y - 4 - y).\nAnswer: -6*y**5 + 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/29 (b) -312.92 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xununenueiw. Give prob of sequence ew.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (3 + (-6)\/2). Suppose 3*c + 5*t = 6615 - 467, -2*c = -q*t - 4105. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/17 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -10*j - 5. What is d(3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 10 + 0 + -5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1104859 - 7?\nAnswer: -1104866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -311\/44523 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 16*t**2 + 13*t + 5. Let m be (-4)\/(-6)*-18*(-5)\/10. What is the units digit of u(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/4)\/(55\/(-264))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -154, 3066, -219?\nAnswer: 3066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1272 by -318.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -98329595*a*m - 9*a + 233683 wrt m?\nAnswer: -98329595*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/2? (a) 2 (b) 1.21 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51 + -333218.8.\nAnswer: -333269.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7246, -14495, -21744?\nAnswer: -28993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*q - 47*q + 40. Suppose q*c - 140 = 6*c. Suppose 6*j - 11*j + c = 0. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.52 - 2.52. Let b be 4\/27*(1 + (-3)\/4). What is the closest to 0 in b, k, 2\/13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n*q**6 + 153*n*q**5 + 9*n*q**2 - n wrt q.\nAnswer: 120*n*q**3 + 9180*n*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-28)*(-18)\/(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/154253760 and -133\/308507520.\nAnswer: 308507520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 225 - -241?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 67? (a) -7\/11 (b) 5 (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5629 or 5628?\nAnswer: 5629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 4*b + 100 = 0, -217*b + 203*b + 10 = 2*s for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w - 232 - 263 = -w + 4*w for w.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1342 (base 5) to base 8\nAnswer: -336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3144 (base 6) to base 4\nAnswer: 23020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1825.70153 + 0.43097. Let z = 1837.93249608 - s. Let f = z + -11.8. What is f rounded to seven dps?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -11. Let x = 2 + b. What is the second biggest value in -2, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by (-3 - -2)\/(-198 - -190 - 3406\/(-426)).\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -1\/3, 5, 38, -32, 0 in ascending order.\nAnswer: -32, -1\/3, 0, 2\/17, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92*n - 139*n + 162*n + 24*n**2 wrt n?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1645040664 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-14) - (-7 - 149728\/56). Let y = 10659\/4 - f. What is the common denominator of 41\/62 and y?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1957 + -1976 - (17 - (-6 - (1 - 4))).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*o - 21*o + 15. Suppose -8*a + 7*a = -9. Solve -a*y + o*y - 24 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39 - 39 + 11*p + (-p + 0*p + 3*p)*(4 + 2 - 3)*(-5 + 4 + 0).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2\/7 - 17347500*f\/7 + 52042464\/7.\nAnswer: 4*(f - 4336872)*(f - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*b + 404, 0 = -2*y + 3*b + 44 + 163. Calculate the remainder when y is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) -9 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 448 - 273. Is (-2)\/(-4) + y\/14 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**3 + 48*o**2 + 112*o = 0?\nAnswer: -2, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.161749848 rounded to four dps?\nAnswer: -0.1617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 387 + -384. Suppose 0 = 3*o + p, -f - 4 = 5*o - 3*o. Let z = 20 + -28. Are f and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -30*b - 4. What is the units digit of f(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1089*i + 1085*i - 14*c + 212, 20 = 4*i + 2*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)\/sqrt(5))\/(sqrt(16)\/(sqrt(8)\/sqrt(2))))**2 - -6*(1 + 2*sqrt(2) - sqrt(32)).\nAnswer: -12*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**6\/120 - c**5\/20 + 3*c**4\/8 - 17*c**3 - 10. Let g(l) be the third derivative of r(l). Factor g(i).\nAnswer: -3*(i - 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 3:07 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 3. Let s be (6\/(-4))\/(9\/(-240)). Suppose 1 = z + 2*k, z - 5*z + k = -s. Suppose -x = -4*x - z. Calculate d(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 7*f - 8*f - 33 = 0, 15 = -5*f. Let o be d - (-28)\/(-4) - (-6 + 1). Solve v - 25 = -o*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 147*m**4\/2 + 34671*m**3\/2 + 8167491*m**2\/8 - 292227*m\/2 + 10443\/2 = 0.\nAnswer: -118, 1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1232110 (base 11) to base 10\nAnswer: 2140380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103953 divided by -620.\nAnswer: -103953\/620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1129 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6412587, -6412589, -6412591?\nAnswer: -6412593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340363669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 104 - 6?\nAnswer: ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*f**2*y**2 - 2*f**2*y - 94875*f**2 + 267*f*y**2 + 4*f - 1443*y**2 wrt f.\nAnswer: -10*y**2 - 4*y - 189750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 729.6 - 729.3. Let x be 362\/(-552) + 6\/9. Let o = 283\/644 - x. What is the nearest to 0 in -1, f, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 - 211?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203 (base 4) to base 5.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0030084649 to 5 decimal places.\nAnswer: -0.00301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 d when three letters picked without replacement from ppppppggdydp.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -1, -18, -59, -130, -237, -386?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 1 + 3 + -3. Let t be -2 - 8\/(-5 - p). Solve -4*u - 4*i = t, u - 7*i - 18 = -2*i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 - 45*s**5 - 13*s + 43*s**5 + 9*s - s**4 - s**5 - s**5 - 10*s**5 + (3*s - 3*s - s**4)*(-4*s + 5*s + 0*s).\nAnswer: -15*s**5 - s**4 + 2*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21.960349 and -0.231.\nAnswer: 21.729349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 7:54 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2739 = -10*o - 2959 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 50*u**2 - 49*u + 5. Calculate o(-49).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h = -2. Let m = -2228 - -2239. Let l be 1*(2 - (-2 + -7)). Solve 0 = v + 5*o + l, -m = 5*v + h*o - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 2. Let b be j(0). Let g = -6 + 9. Let x(s) = 2*s - g*s - b*s**2 + 3 + 2*s**3 - 2*s. Determine x(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**2. Let k(a) = -178*a + 2. Give k(h(q)).\nAnswer: -712*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 71*y + 169. List the prime factors of p(-95).\nAnswer: 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 1)*(-11*v - 318 + 318) - v - 10*v + 7*v as h*v + b and give h.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p**2 + 45*p - 16. Let i(g) = g**2 + 3. Give 6*i(f) + u(f).\nAnswer: 2*f**2 + 45*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/6 - (-3)\/(-9). Let i = -1 - -2. Let q = -1\/287 - -6\/41. What is the closest to f in 4, q, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16915756 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: What are the prime factors of 8298823?\nAnswer: 13, 638371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 - 2154a69?\nAnswer: -2154a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10542 is divided by 5149?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.011 and -2.20335.\nAnswer: -2.21435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1950)\/(-54) - 6*(-2)\/(-108). Put -3, 0, j in descending order.\nAnswer: j, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z + 5. Let q(m) = -10*m + 15. Let a(p) = -2*q(p) + 7*s(p). Determine a(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 37*u - 74*u - 2 as k*u + f and give k.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/7)*a)\/a)**(-7\/11))**(-23\/5) assuming a is positive.\nAnswer: a**(-46\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 + 4*p + 2. Let y be m(-2). Suppose -28 = -4*a - 12. Let l(k) = k + a - 2 - y - 6. Give l(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 220 = 105*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 575*c + 69. Let j(p) = -41*p - 5. Determine 5*g(k) + 69*j(k).\nAnswer: 46*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*o = -0*b - 7, -3*o - 13 = -5*b. Solve 2*v = v - b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 11*b = 2. Let p be 38 + -3 + 3 + b. Differentiate 21 - 6*j**2 - p + 17 with respect to j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 69*g - 1. Let c(h) = -4 - 7*h**2 + 16*h**2 - 11*h**2 + 4. What is d(c(l))?\nAnswer: -138*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3125788 and 809639.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-2) - (-69)\/(-23). Let u(j) = -j**2 + 4*j + 4. What is u(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + (17 - (-8 - 2)) - 6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipv when three letters picked without replacement from {v: 10, p: 1, h: 1, i: 1, m: 2, z: 3}.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -13124?\nAnswer: 5\/13124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 104 - -21?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 - (9 - 11)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/12290929 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -681905*j**5 + 8*j**2 + 24723*j?\nAnswer: -40914300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/12)\/(1*(-9)\/36).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -6. Suppose -3*i + 41 = -2*r, o*r = 3*i - 7*i + 78. Let q(d) = 6*d - 3. Let a be q(1). Solve -3*y + 5*t = -i, -2*y = a*t - t + 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f**(1\/18)*f)*f*f)**(-1\/44)\/(f*f**16*f*f\/(f*f**(-2))) assuming f is positive.\nAnswer: f**(-15839\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 101 + 184. Suppose 0 = -84*r - 90 - 19 - 59. Find the common denominator of 21\/4 and (f\/(-80)*r)\/((-13)\/(-4)).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119375\/45 + 2*3\/27 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - y = -t + 4*t - 46, -3*y = -14*t + 16*t - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47622 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 85.85 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - g - 1. Let b be 1\/8 + 9\/(-8). Let j(r) = r**3 + r + 1. Let v(y) = -3*y**2 + 2*y + 2. Let c(a) = 2*j(a) + 2*v(a). What is b*c(h) - 6*t(h)?\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 8:32 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(6\/20)*4. Suppose -n = 2*n + 6, -3*z = -2*n - o. Suppose -5*i + 2*i = -z. Let v(p) = p**3 - 2*p**2 - 7*p + 5. Calculate v(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 18*b**2 - 68*b + 125. Let n be q(21). What is the greatest common factor of 25 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-6)*g)**15 assuming g is positive.\nAnswer: g**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b601 + 1?\nAnswer: -1b600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 4*x. Determine h(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 3. Let v(k) = 140. Let g(t) = -328. Let s(r) = -3*g(r) - 7*v(r). Calculate 5*h(y) - 4*s(y).\nAnswer: 5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 23*w**3 + 17*w**2 - 23. Suppose 44 + 41 = -5*r. Let t(j) = -8*j**3 - 6*j**2 + 8. Calculate r*t(z) - 6*y(z).\nAnswer: -2*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.8745 to two dps.\nAnswer: 12.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 3*v**3 - 5*v + 0*v**3 - 5*v**2. Suppose -5*c - 14 = 196*a - 192*a, -4*c - 8 = 4*a. Let k(u) = u**3 + 6*u**2 + 6*u. Determine c*m(t) - 5*k(t).\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17063?\nAnswer: 113, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3)*r**4)**(3\/8) assuming r is positive.\nAnswer: r**(11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*f**2 + 2*f**4 + 3 + 37*f**2 - 1 as k + d*f + y*f**3 + u*f**2 + n*f**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-16870)\/(-51450) - (1 - 46\/42).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 245 + -53. Suppose 2*h - h = u - 57, -5*h = 4*u - w. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**5\/4 - 463*u**4\/2 + 467*u**3 + 2774*u**2 - 9272*u + 7424 = 0 for u.\nAnswer: -928, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 - -1. Let t be -4 - (-8 + 1)*(-14)\/(-21). What is the smallest value in t, w, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-12 + -13 + 6 + (-30 - -10))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1251, -1251, -1253, -1257, -1263, -1271?\n\"Answer: -t**2 + 3*t - 1253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.5 (b) -5 (c) -4282 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 2*l. Let a be y(-4). Let g = 24 + a. Let d = g - 3. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56*h**3 + 80*h**3 - 46*h**3 + 10*h wrt h.\nAnswer: -132*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 6*r**2 + 5*r + 7. Let x be z(5). Factor x - 7 - b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1075621 by 3.\nAnswer: -1075621\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(0 + 0 + 1). Let j(d) = -d**3 - 2*d**2 + 4*d - 3. Let a(n) = 9*n**3 + n + 3 - 6*n + 2*n**2 - 8*n**3. Let o(t) = 2*a(t) + 3*j(t). Determine o(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 22*j**2 + 41*j + 32. Give d(20).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1365 + 473125?\nAnswer: 471540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**2\/2 + 55*p - 2. Is j(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*((-4)\/3)\/((-85)\/(-510)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3836*k + 12. Let u(m) = 7702*m + 27. Give 9*d(v) - 4*u(v).\nAnswer: 3716*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y**2 + 92*y + 86. Calculate c(-22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 = -11*c + 790. What is the remainder when c is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11732 - 11070. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -6.98. Let i = a - 0.52. Let s = 1.6 + -2. What is the third biggest value in s, i, 1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*a**2 - 237 with respect to a.\nAnswer: 46*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*sqrt(102)*-2)\/(sqrt(150)*3)*6.\nAnswer: -5 + 16*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 315.4 + -6.4. Let c = a + -308.9999453. Round c to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -6*w + 3*w + 780, 3*r = -w + 585. Let i = 241 - r. Is 23 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.223293 to 3 dps.\nAnswer: -7.223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/8 - (-3 + (-45)\/(-12)))*3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26692869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2617418, -2617381, -2617344, -2617307, -2617270?\nAnswer: -2617233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 334619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - w + 0*w + 1054 - 535 - 536 - 69*w**3.\nAnswer: -69*w**3 - w - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pprrrpprrprjpaqrp. Give prob of picking 2 p, 1 r, and 1 a.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20375 - 40753 - 448*t + 20378.\nAnswer: -448*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 616547803 to the power of 1\/2, to the nearest integer?\nAnswer: 24830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*c**2 - 11*c**2 - 1 + 3*c**2 + 17*c**3 wrt c?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 22*n = -86, -4*o + 399*n - 404*n = -103 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + q + 32, 6*q - 11*q - 34 = 4*l. Let i be 5 + l*3\/6. Suppose i*n - 4*n = -22. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*w + 9*w + 23*w - 968. Calculate the remainder when 1758 is divided by w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*s = -3*s + 556, 3*u + 2*s - 431 = 0. Suppose 0 = 2*k + k - u. Let o = 190 - k. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -26. Suppose -5 - 61 = -y*c. Find the first derivative of 7 + 25 - 47*s + 47*s - c*s**3 wrt s.\nAnswer: -66*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 2*n + 3. Let f(j) = 3*j**2 - 9*j + 10. Let t(u) = -3*u**2 + 10*u - 11. Let m(q) = 6*f(q) + 5*t(q). What is -3*m(x) + 5*r(x)?\nAnswer: -4*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - r + 1. Let l(p) = p**3 + 11*p**2 - 26*p + 1. Let c be l(-13). Let i(j) = -j**2 - 4*j + 7. Let g(y) = c*i(y) + 2*b(y). Factor g(a).\nAnswer: (a - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 248738 and 6.\nAnswer: 746214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**6*(a**(-1\/5)*a)\/a*a**6*a*a*a\/a**(-7)*((a**(-2\/3)*a*a)**(-2\/41))**(-34) assuming a is positive.\nAnswer: a**(14767\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 812.129 * -0.4\nAnswer: -324.8516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 1941 = -27*p - 1936 + 3733 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**3 + 124*l**2 - 82*l + 84. Calculate u(-42).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 - -4860 - (-320)\/(-160)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37.8411 - 0.9291. Let l = -0.088 - g. Let v = l - -36.999915. Round v to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -2*g**5\/5 - 2161*g**4\/4 - 558*g**3 + 2611. Find the third derivative of c(w) wrt w.\nAnswer: -48*w - 12966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 261\/65 - -4213\/780. Calculate the common denominator of b and 17\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 25 and -671495433.\nAnswer: -671495408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 - (-270)\/24)\/((-3)\/(-24)) is divided by (-153)\/(-5) + (-4)\/(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*r + 2*r + 5*r + 20*r to p + l*r and give l.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97971 is divided by 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -54755 - 500?\nAnswer: -55455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -415*s**3 + 527*s**2. Let q = -252 + 245. Let f(i) = 207*i**3 - 264*i**2. Let h(c) = q*f(c) - 3*l(c). Find the third derivative of h(r) wrt r.\nAnswer: -1224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a milligram in micrograms?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422295.\nAnswer: 3, 5, 47, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -576*t**3 + 145 + 124 + 2*t**2 - 271 as k*t**2 + r + s*t**3 + h*t and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3832031607?\nAnswer: 3, 101, 12646969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 10*l - 1\/3*l**3 + 12 - 21\/2*l**2. Let x be z(-21). Calculate the greatest common factor of x and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 17*d**2 - 21*d + 14. Determine f(18).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3146 - 1531. Calculate the highest common divisor of q and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3002 >= -2931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -267080.3 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 104\/3*g + 69\/2 + 1\/6*g**2.\nAnswer: (g + 1)*(g + 207)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3456811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 164 + -4. Let p = 231 - h. Suppose p = 3*f - 28. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r**2 - 78. Let n(o) = 4*o**2. Calculate n(h(c)).\nAnswer: 144*c**4 + 3744*c**2 + 24336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g. Let z(o) = -17*o. Let h(t) = -t**3 - 8*t**2 + 8*t. Let c be h(-9). Let s(f) = c*i(f) + 2*z(f). Let r(y) = -31*y**2 + 2*y. Calculate r(s(w)).\nAnswer: -124*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u - 9. What are the prime factors of b(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9886760*p**4 - 4*p**2 - 1266*p - 53 wrt p?\nAnswer: -237282240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349618*u - 349380*u + 698996*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*l + 4*o, -4*o = -0*l - l - 22. Put l, 5, 0.5, 0.1 in descending order.\nAnswer: 5, 0.5, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 7.2?\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -6 + (0 + 11 - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/780 and 19\/40?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**2 + 16*m + 16 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/15))\/a**(-1))\/(a**(-1))**48 assuming a is positive.\nAnswer: a**(752\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-1 - -1) - 0. Let g = y - -3. Let p be (-2)\/g - (-40)\/6. Solve 3*x + 2*b - 1 - 3 = 0, 3*b - p = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26396?\nAnswer: 2, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(8\/(-2) + 2). Suppose l = c, 0 = -2*u + 4*c - 2*c + 116. List the prime factors of u.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w\/w**(2\/27)))\/w**(-2\/3))**(4\/15))**(-5) assuming w is positive.\nAnswer: w**(28\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 528371.2 years?\nAnswer: 6340454.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 7*s + 1. Let c be g(6). Suppose 0 = -c*w + 2*w + 25. Suppose -4*k - 5*h + 39 = -27, -2*k + 38 = w*h. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 194628440, 194628428, 194628408, 194628380, 194628344, 194628300, 194628248?\n\"Answer: -4*l**2 + 194628444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6137 is divided by 212?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 15*x**2 - 4*x + 22. Let j(b) = 8*b**2 - 2*b + 12. Give 5*j(a) - 3*n(a).\nAnswer: -5*a**2 + 2*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 241320 (base 7) to base 14\nAnswer: 11d10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 18. Let i(n) = -n**3 - 8*n**2 - 8*n - 10. Let v be i(-7). Let x(g) = g**2 + g. What is the least common multiple of s and x(v)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 273*d**2 - 2*d - 7. Let u(l) = 544*l**2 - 5*l - 16. What is 7*s(z) - 3*u(z)?\nAnswer: 279*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -11. Suppose 0 = 3*i - 0*i - 5*q - 9, -l*i + 4*q = -12. Suppose -i*s + 5 = 2. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001111001001 - 100?\nAnswer: 11001111000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 13 = -5. Is 2 a factor of ((-10)\/(-4) - b)*74\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -88, -97 in descending order.\nAnswer: 2, -88, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddmdddwdmwdmd. What is prob of sequence wd?\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r - 4. Let u be n(1). Which is the nearest to 1? (a) u (b) -2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 8:08 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvxvxxvuuvxuvvvvxvx. Give prob of sequence vu.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2916 is divided by 2885.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 11*s**2 + 11*s - 8. Let r be z(10). Suppose r*p = 29 - 3. Let v(l) = -49 + 49 - p*l + 2*l. Let q(n) = -2*n**2. Give q(v(c)).\nAnswer: -242*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = -2205*r + 2212*r. Solve -r*v + 26 = -43 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001001101011000000 (base 2) in base 7?\nAnswer: 4536015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.42 * -16344.\nAnswer: 6864.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owdzredo. What is prob of sequence ow?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 869940 divided by -86994\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, t: 1, f: 2, z: 1}. Give prob of picking 1 f and 3 g.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.457 - 5.857. Which is the nearest to -0.1? (a) v (b) 2\/11 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 1:16 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 110264 = 110257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 604.6109 rounded to the nearest ten?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycvbwfcb. Give prob of picking 1 v and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-309)\/21 - -3)\/((-12856)\/(-22498))?\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -0.459?\nAnswer: -0.1377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1571.155 centuries?\nAnswer: 1885386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*v - 15*v + 144*v)*(-5 + 5 - v + (-3 + 2 + 2)*(-3*v + 2*v + 3*v)).\nAnswer: 105*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.79 - 6.79. Which is the nearest to 0? (a) -1 (b) 0.2 (c) -0.5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/21 - (-28357)\/(-180). Let u = -10\/34841 - 50345155\/313569. Let n = u - a. Find the common denominator of n and -113\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253450?\nAnswer: 2, 5, 37, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-45)\/(-225))\/(14\/10))\/((-102)\/(-42)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -2 (c) -3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.23494 to two dps.\nAnswer: -9.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 920*(2\/1)\/4 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*o - 18*o. Let u = -40 + 58. Solve o*v - 5*d = 2*v + u, 3*d + 10 = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12449142 and 684.\nAnswer: 24898284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -323607262 * 2.\nAnswer: -647214524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 - 3*r**3 - 4*r**3)*(4*r + 15*r - 2*r) + (-r**2 + 2 - 2)*(0*r**2 - 4*r**2 + 2*r**2) + r**4 + 4*r**4 - 3*r**4.\nAnswer: -81*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - 5*-1*sqrt(209))\/(sqrt(396) - ((sqrt(396) - (-1*sqrt(396) - sqrt(396))) + sqrt(396))) + (1*1*sqrt(76))**2*-4.\nAnswer: -304 - sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20\/(-45) - (-2)\/(18\/17095)?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 23*b**2 + 66*b + 36. What is u(-20)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -11*o + 0 + 0*o - 1. Let c be ((-2)\/(-4))\/((-8)\/16). Give j(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*(-2*sqrt(88))\/sqrt(8)*2)**2.\nAnswer: 32*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 2)*(-6*t + t + 3*t) + 19930 - 298*t - 19930 - 4 + 4 - t + 5 as j + n*t and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -j - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*s - 11 = -14, 3*g - 11 = -5*s. Suppose -6*q + 5 = m - 7*q, g*m + 4*q = -8. Let -9 - 1\/2*v**4 + 3\/2*v**3 - 15\/2*v + 7\/2*v**m = 0. Calculate v.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2369821 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.26, 4, 57?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + u + 3. Let c(q) = -7 + 2*q**2 + 3 - 1 + q - 2*q. What is 3*c(s) + 5*i(s)?\nAnswer: s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 131 - 128. Sort h, -14, 2, -2.\nAnswer: -14, -2, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/67, -108, 4?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1904396889?\nAnswer: 3, 634798963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 1383*s + 1029. Is 24 a factor of l(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/4163 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2064\/147 + 56*20\/(-80).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 5652?\nAnswer: 5652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b - 12581. Let c(u) = 9*u. Determine a(c(l)).\nAnswer: -36*l - 12581","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 7) in base 16?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8919*h + 13896*h - 2 - 8033*h.\nAnswer: -3056*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*f**3 + 36*f**2 + 103*f**3 - 99*f**2 + 28*f**2 + 35*f**2 - 33*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 8, -1, 5, 41, 2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 886864 a multiple of 832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -34*z + 8. Let p be y(2). Let m = p - -64. Suppose -m = h + q - 20, -4*h + 59 = -q. Calculate the greatest common divisor of h and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/9 + 7178*j**2 + 170140528*j\/3 - 182755671224\/9.\nAnswer: 2*(j - 343)*(j + 16322)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(104)*5*6*-6)\/((2*sqrt(1568))\/(sqrt(400)*-2 - sqrt(400))).\nAnswer: -2700*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76128174 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 - -0.33. Let v = 2.7 + x. Let a = v - 3.3. Which is greater: -1\/4 or a?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 924.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) 3\/5 (c) 2\/9 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/4)\/(g**(-3)\/g))**(-2\/21)\/((g**(-1\/3))**(-2\/15)*(g**(2\/7))**21) assuming g is positive.\nAnswer: g**(-4003\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -414*o + 7493. Is m(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1668*w - 306*w + 1598*w.\nAnswer: 2960*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -2*w**6\/5 + w**5\/60 + 11*w**4\/8 - 3*w**2 + 68*w. What is the third derivative of g(a) wrt a?\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168278 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: Evaluate -2 + (8 - 0) + -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)*l**(-2\/5)*(l*l\/(l*l**(-2\/5))*l)**(-15))\/(l**(2\/15)*l**(-2)*(l**(-1)*l)**(-9\/7)) assuming l is positive.\nAnswer: l**(-563\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 226 + -495\/2. What is the common denominator of -45\/4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -567461, -567479, -567513, -567569, -567653?\nAnswer: -567771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 192\/128*4*(-8)\/576\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*q + 8*q - 65*q.\nAnswer: -17*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*p + 1408 = -52*p. Calculate the remainder when p is divided by 50.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6}. What is prob of sequence tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, 14, 56, 114, 188?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/5823280 and -119\/315720.\nAnswer: 52409520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - 4*u + 4*u - u**3 + (7*u**2 - 10*u + 10*u)*(0*u + 0*u - 4*u) to the form c*u**2 + o + f*u + n*u**3 and give n.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14719*g**3*h**3*y**2 - 3*g**3*h**2*y**3 - 2*g**2*h**3 - 270*g**2*h**2*y**3 + 24*g**2*y wrt g?\nAnswer: 88314*h**3*y**2 - 18*h**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/362? (a) -4 (b) 1 (c) -3 (d) -5 (e) -8.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020 (base 3) to base 8.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 44 - 19 = 2*b, 4*j = -2*b + 54 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -89729.2 to the nearest 100.\nAnswer: -89700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 25 = -o - c, c = 3*o - 17. What is the remainder when 610\/(-61)*(1\/(-2) - 1) is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -2\/7 (b) -1.4 (c) 133 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbnplgbf. What is prob of picking 1 p and 1 g?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 357*a - 351*a. Solve 0 = -4*d + 2*d + 5*s - 16, -a = d - s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 q when three letters picked without replacement from qqtqtqq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2411 - -2641.2. Let z = y + -230. Let o = -505\/3 - -167. Put z, o, -4\/9 in ascending order.\nAnswer: o, -4\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_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, c: 2, o: 1, s: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + 3)*-4 - sqrt(1539))**2 - (-1*sqrt(1539) + -5).\nAnswer: 1089*sqrt(19) + 38624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**4\/3 - n**3\/3 - 13*n**2\/3 + n\/3 + 4 = 0.\nAnswer: -3, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 14 = 130. Let n = a - 48. Solve -s = -n*s, -i + 5*s + 2 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6 - u**3 + 7*u**3 + u**2 - 7*u**2 - 5*u**3 - 3*u. What is d(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 7*h**2 + 5*h - 6. Let x be j(5). Suppose 5*s - x = -19. What is the remainder when 19 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210151641?\nAnswer: 3, 7, 131, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23175, 23274, 23337, 23346, 23283, 23130, 22869, 22482?\nAnswer: 21951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 133686 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**3 - 3*l**2 + l + 3. Suppose -2*z + 0*z + 6 = 0. Suppose 2*p = 15 - 73. Let o = 28 + p. Let g(m) = m**3 - m**2 + 1. Give o*n(y) + z*g(y).\nAnswer: -y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 - 4*u + 5. Let h(p) be the third derivative of -p**4\/24 + 2*p**3\/3 - 9*p**2. Let c be h(1). What is the tens digit of t(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*n + 149*n + 39*n.\nAnswer: 256*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29*15\/(-45))\/(9\/135*-5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m**2 + 6*m + 7*m**2 + 2*m**2.\nAnswer: -3*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtntpwtqqpwwwnwwwntt. What is prob of picking 2 t?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((-2 + 4)\/1). Suppose -2*g + 4*x + 308 = u, -4 - 1 = -5*x. Suppose 3*m = -3*d + g, -38 = -5*m - 3*d + 212. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -154*l**2 + 11*l + 11. Let v(b) = 31*b**2 - 2*b - 2. Determine 2*n(r) + 11*v(r).\nAnswer: 33*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**4\/12 + q**3\/6 - 12*q + 4. Let z(r) = -1 + 6*r - 4*r**2 - 3*r**2 + 4*r**2. Determine -6*i(k) + z(k).\nAnswer: 3*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -3, -0.74, 5?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21555*d*j - 3*d + 98171*j wrt d?\nAnswer: -21555*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146 and 12337730.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 393 + -310. Find the first derivative of 21 + m - 14*m**4 - m**4 - 26 + w*m**4 wrt m.\nAnswer: 272*m**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o + 5*q + 182 = 0, 84 = -o + q. Let z be (2\/(-1))\/((-4)\/246). Let g = o + z. What is the remainder when g is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692764 a multiple of 508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211112102111 - 100?\nAnswer: 1211112102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/4 and 3\/3464.\nAnswer: 3464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 2:43 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + o. Let j(z) = -7*z**3 + 2*z - 2. What is -j(p) + 3*k(p)?\nAnswer: 4*p**3 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/12 and -149\/1074.\nAnswer: 2148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 363 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3537 and 3375477.\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide -1 - -1 - (-1 - 7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/sqrt(5) - (4 + (sqrt(245))**2)) + ((sqrt(40)\/sqrt(8))**2 + -5)*3 + 4.\nAnswer: -245 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -752*n - 3760. Determine d(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)\/z**(-8))**(-3\/26)*(z\/z**(-1\/3))**(-44)\/(z**(-1\/3))**(-9) assuming z is positive.\nAnswer: z**(-4837\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8618350 divided by -8?\nAnswer: 4309175\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -143 + 20122?\nAnswer: 14424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*u**2*w**2*x - 2*u**2*w - 16*u**2*x**2 - 2*u*w**2*x**2 - 10*u*w*x**2 + w**2*x**2 + 2*w wrt w.\nAnswer: -28*u**2*x - 4*u*x**2 + 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1933225166 to the nearest integer?\nAnswer: 43968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*s - 2*s + 36, 5*s - 209 = -4*q. Calculate the greatest common factor of 46 and q.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2257239359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 804, 1741, 3042, 4701, 6712?\nAnswer: 9069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a kilometer in meters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 1 (b) -2\/15 (c) -2 (d) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7070*y + 1557 = -7243*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9071 = -3*x - 2*i, i + 3002 = x + 6*i. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3.461093ug?\nAnswer: 0.000003461093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ippi when four letters picked without replacement from cisqppb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 b when four letters picked without replacement from gbiwiibgwxbbwbgio?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-4\/3))\/(x*x\/x**(2\/5)*x)*(x*(x\/(x*x**(-4)))\/x)**(-4\/15) assuming x is positive.\nAnswer: x**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by 65.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.041439 times 2\nAnswer: -0.082878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -c - 3*c. What are the prime factors of 1\/(-6) + 508\/c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212042921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*d - 41*d - 19*d.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/12*2\/20*-1\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/22*-2)\/(38880\/35640)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*r + 51, -4*w - 3 = 13. Let l(d) = -d**3 - 7*d**2 - 6. Calculate l(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 3*d + 40739 - 7504, 0 = -5*j - 3*d - 41510. Let i be j\/25 + 3\/15. Calculate the remainder when (-2)\/((40\/i)\/5) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/(5175\/(-210)))\/(14\/(-10))*26?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 12 = -2*v. Suppose -12 = -4*c - 0*c + 2*s, v*s = -5*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73312.64 less than 0.3?\nAnswer: -73312.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*g**3 - 5*g**3 - 10*g**3 + (g**2 - 2*g**2 + 3*g**2 + (2*g - g + 0*g)*(0*g - g + 3*g))*(-2*g - 2 - 3*g + g).\nAnswer: -38*g**3 - 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 71, 138, 205, 272, 339, 406?\n\"Answer: 67*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 58707741682.\nAnswer: 58707741682.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 421538962442.\nAnswer: 421538962442.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 9:44 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327 - 147 + 2423 = 19*d. Let p = 1273966 + -40762527\/32. Let i = p - d. Are i and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, h: 5, l: 1, a: 1, t: 4, w: 1}. Give prob of sequence wgwa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -8*j**2. Let s(f) be the second derivative of 5*f**4\/4 - 46*f. Calculate s(t(i)).\nAnswer: 960*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392964867?\nAnswer: 3, 23, 61, 31121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -345 * -82018.\nAnswer: 28296210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 639681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3ca - 5a7ec?\nAnswer: -5abc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0)\/(((-11)\/1056*-8)\/((-77)\/(-84))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 3.04. Let p = -114873\/402080 - 1\/57440. Which is the third biggest value? (a) p (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-2 - 3) + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -23*i**4 + 7*i**3 + 7*i**2 + 23. Let j(s) = -11*s**4 + 4*s**3 + 4*s**2 + 12. Let o(v) = 7*j(v) - 4*q(v). What is the first derivative of o(g) wrt g?\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 2*z - 30. Suppose -4 = 3*b - z. Find the third derivative of -2*m**b + 0*m**2 + 3*m**6 - m**6 + 3*m**6 wrt m.\nAnswer: 600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(-714)*-7)\/(((-16)\/(-4))\/(-96))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1445 is divided by 299.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -2, -656\/9, 0.4, -0.2 in decreasing order.\nAnswer: 2, 0.4, -0.2, -2, -4, -656\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5 + (-66)\/(-10). Suppose -2*p - 8 = -4*a + 2*a, -2*a + 4 = -p. Suppose 2*s - r + 1 = a. Let o(g) = -3*g + 3. Give o(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -384 divided by 96?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhbhbhbhbby. Give prob of sequence byb.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2145173*-34\nAnswer: 72935882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36720 by -12240.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(280))\/sqrt(7))\/(sqrt(64)\/sqrt(2)) + 2 + -4*(sqrt(320) + sqrt(320) + 2 + sqrt(320) + 1)*6)**2.\nAnswer: 80500*sqrt(5) + 1658025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 70138.9395s?\nAnswer: 0.11597046875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666 is divided by 270?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - -20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-284*p + 375*p - 666*p)*(-5 + 3*p + 5)*(-4*p + 5*p - 2*p) to l*p**3 + s + u*p**2 + m*p and give l.\nAnswer: 1725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -37.\nAnswer: -18.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.106 + 58.894. Let u = 59 - h. Which is the closest to 0.1? (a) u (b) 4 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 8*s - 13. Suppose 19*p - 22*p = -18. Let y be h(p). Let n = y + 10. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.04 (b) 0.5 (c) -3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000653 rounded to seven decimal places?\nAnswer: 0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(2\/(-3)*18\/(-8)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(4*n + n - 6*n)*(10 + 0 - 3)*(-1 + 0 + 0).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 4*l - 8, -l + 2*l = 4. Let f(j) = 12*j**2 - 5*j**2 - 4*j**3 - 6*j + 2 + 3*j**3. Let c be f(z). Solve p = -3*q + 10, -c*p + 0 = -3*q - 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/(9\/(-2)). Let m = 19.9 - 20. Let q = -72 - -77. Which is the nearest to m? (a) -4 (b) h (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b4 + 9?\nAnswer: 1bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 11*b = -12*b. Suppose 0 = 4*v + 2*x + 14, b*x = -v - x - 5. Which is bigger: -30\/23 or v?\nAnswer: -30\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 517. Let n(i) = i. Determine d(f) + n(f).\nAnswer: 2*f + 517","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 42 + 2 - (0 + 0). Suppose 2*a + m = 6*a. Solve 3*w - 19 = -2*s - 0*s, -w - 3*s + a = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s. Let t(o) = 25*o**2 + 774*o. Let q(p) = 34*p**2 + 773*p. Let z(k) = -3*q(k) + 4*t(k). Give z(m(u)).\nAnswer: -2*u**2 - 777*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010100 - -10?\nAnswer: -100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 7335 - 729 = 0. Is v a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/f)**(12\/11) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8763 + -5286. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15168.77335 rounded to the nearest 10?\nAnswer: -15170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**2 - 3768728*q + 7537440 = 0.\nAnswer: 2, 942180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n = -12 + 12. Solve -5*s - 5 = -n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 1)*(-5*y + 15*y - 3*y)*(-y + y + 5*y**2).\nAnswer: 70*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6620189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 92752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 8*b + 2. Let l(n) = n**3 - n**2 - n. Let s be l(0). Suppose s*q + q - 11 = 0. Is t(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*h + 69 + 1\/3*h**2.\nAnswer: (h - 69)*(h - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4126, 18313, 1, 3 in descending order.\nAnswer: 18313, 3, 1, -4126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 64.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -i + 12, 0 = -5*i - 3*j - 2*j + 75. Calculate the highest common factor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(0 + 28\/10). Let w be -21 + (-10 + 13)*5. Let l be 4\/q + (5 + -11 - w). What is the nearest to -1\/4 in 2, 0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2368792 litres to millilitres.\nAnswer: 236.8792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1418761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25934.\nAnswer: 2, 12967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 3*w - 4. Let k be 14\/6 - (-4)\/6. Let f be d(k). Which is bigger: -5\/2 or f?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -16 + (18 - -1) + 8 - 3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 4 = 0, 161*x + 0*t + 12 + 2 = 162*x - 16*t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002122 (base 3) in base 14?\nAnswer: -412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4 - -1) + -1 - -1) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 20 + 26. Suppose -z + 5 + 0 = k, j*z + 33 = 5*k. Solve k*n = n + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245176 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: Suppose -4*x + x = 0. Suppose n - 85 = -x*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 + 32. What is the nearest to -0.2 in r, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000102101 + -112200?\nAnswer: 222212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6 - 1 = 0. Suppose 0 = -x*q - 2*m, 4*q - 26 = q + 4*m. Let j(p) = p**2 + 4*p - 5. Let t be j(q). Solve -2*k - t = 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0, 1\/8, -5\/21, 6, -6?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 9612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -36*l - 844. Calculate the smallest common multiple of 12 and s(-42).\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -125 - 45702?\nAnswer: -46027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 1\/83, -7\/6, 78, -0.2 in decreasing order.\nAnswer: 78, 1\/83, -0.2, -7\/6, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2963830059.\nAnswer: 3, 347, 949033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1, 4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 43*m**8\/5040 - m**7\/2520 + 7*m**6\/720 - 5*m**5\/12 + 11*m**2. Let w(u) be the third derivative of y(u). Is w(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -1)*9\/3. Let o = 34 - i. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21.6 + -16. Let q = -2.6 + c. What is the nearest to 2 in q, -1\/3, -1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 563401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -560, 0.5, -0.31?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhhh. Give prob of sequence hhhv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -463, -2511, -7157, -15409, -28275, -46763, -71881?\nAnswer: -104637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, y: 10}. What is prob of picking 1 e and 2 y?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 44\/(-12) + 2\/3. Let k(g) = -g. Suppose -11*u = -3*u - 64. Calculate the lowest common multiple of k(c) and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*s + 2*t - 6, s + 3*t = 11. Is (1010\/(-4))\/(-5)*s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -27*g + 652. Let c = -31561 - -31585. Determine d(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10\/((-340)\/(-699078)) - (24\/34)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*f + 5. Let d be (f\/9)\/((-13)\/2 - -7). Suppose 2\/9*h**3 - 2\/9*h - d + 2\/9*h**2 = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 570 = 5*x, 2*x + 698 = 5*b + x. Let l be 5 + (b\/(-25))\/1. Sort 3, -2, l, -1\/2 in decreasing order.\nAnswer: 3, -1\/2, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18842477 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 7:28 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 - 2*s**3 + 3*s**3)*(11*s**2 + s**2 + 2*s**2) + (-4 + 4 + 7*s**5)*(-3 - 2 + 0).\nAnswer: -7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 3108168.\nAnswer: 24865344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 3:23 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 786, 6364, 21552, 51156, 99982?\nAnswer: 172836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-4\/7))**(1\/6)\/(s**(-1\/61)\/s**(1\/2)))**(2\/91) assuming s is positive.\nAnswer: s**(502\/38857)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11496452173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 304568?\nAnswer: 2131976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1877372, -3754757, -5632142, -7509527?\n\"Answer: -1877385*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 7:13 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 3, -10, -2\/7?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhokhkhhhkkh. Give prob of sequence khk.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r. Let g be (-4)\/(-9 + 5) + 2 + 1. Suppose -5*a + 6*a - 6 = -2*f, -20 = -g*f. What is p(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -12*d**2 + 2*d + 2. Let q be x(2). Let n = -30 - q. What is the remainder when 47 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 417\/5 - 83. Suppose -317 - 789 = 7*v. Let h = 631\/4 + v. Which is the biggest value? (a) h (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5351760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 19. Is 3458 + f + 0 + -6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11023111 (base 4) in base 16?\nAnswer: 52d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 4*v = -2*i - 28, -4*i - 8 = -5*v. Let p(y) = y - 3*y + y - i*y. Let k(h) = -h. Calculate k(p(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5*15\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**11)\/p*p*(p\/(p\/(p*p*p**(3\/7))))\/p assuming p is positive.\nAnswer: p**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 467063*z**2 + 467071*z**2 - 934120*z**2 + 9.\nAnswer: 14*z**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113603018?\nAnswer: 2, 6911, 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4392\/5 + -870. Is 7 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/3571 + 7149\/24997. Suppose -5*h + 10 = -0. Suppose z - h*z + 5 = -3*u, 5*z - 25 = 5*u. Which is the second biggest value? (a) u (b) -3\/4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 - 2*b**2 - 4*b**2 + 0*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -215 + 220. Suppose -12*g - 2*s = -10*g - 172, g = k*s + 80. Calculate the remainder when 246 is divided by g.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6736, 0.4, -2\/5, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/12*(-45)\/10 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 12*l**2 - 77*l - 426. Determine d(-11).\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 3. Let m be d(-3). Suppose m = 3*j - 4*i - 51, 2*j + 2*i - 17 = j. Suppose -3*c = -j - 19. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -231748504 + 141.\nAnswer: -231748363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*b - 75*b - 28*b)*((-1 - 3*b**2 + 1)*(b + 1 - 1) + 3*b**3 - 2*b**3 + b**3)*(4 - 3 + 1).\nAnswer: 246*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 9:20 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 4*i + 7. Let q be d(5). Suppose -5*r + 3*w = -315, 4*w + 15 = w. Calculate the highest common divisor of r and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r**3 - 2*r**2 - r - 5. Let x(l) = 5*l**3 + 3*l**2 + l + 6. Let m(g) = -6*d(g) - 5*x(g). Let a(i) = -2*i**2 + i. Give -3*a(o) + 2*m(o).\nAnswer: -2*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 12*j - 4 + 1.\nAnswer: -12*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47242214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 199301031?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 104 = 4*z, -5*z - 114 - 120 = -2*a. What is the remainder when 894 is divided by a?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -16, -2*v + 80 - 701 = -b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 6*g - 15. Solve 4 = 2*m - 0, g*u = -m - 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 - 10*t + 19. Let c(v) = -v**2 - 8*v + 16. Determine -4*c(o) + 3*x(o).\nAnswer: -2*o**2 + 2*o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/605 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*l - 121 = -118, 0 = -5*m + 3*l - 15. Sort m, -35, 0, -1, 58 in decreasing order.\nAnswer: 58, 0, -1, m, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11422, -23245, -35066, -46885, -58702, -70517, -82330?\n\"Answer: n**2 - 11826*n + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/3 - 1270*a**2\/3 - 304484*a\/3 + 4168528\/3 = 0. What is a?\nAnswer: -196, 13, 818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**2\/2 + 80553107*j + 6488803047353449\/2 = 0.\nAnswer: -80553107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -85\/3086 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12\/11 + 230\/231. Suppose -12 = 3*x + 3*o, -4*o + 2 + 6 = -4*x. Sort h, 0.5, x in decreasing order.\nAnswer: 0.5, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 220164?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -107.1 - -107. Which is the nearest to k? (a) -0.1 (b) -2\/7 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2004f9 - 0?\nAnswer: -2004f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, p: 4, x: 1, l: 2, v: 1}. What is prob of sequence pp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8071427 rounded to three decimal places?\nAnswer: 1.807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45764529*n**5 - 75659602*n**2 wrt n?\nAnswer: 2745871740*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 383\/4, 0, -0.1 in ascending order.\nAnswer: -0.1, 0, 383\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 3.14, -0.2, -127\/9, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 675*f**4\/4 - 878*f**3\/3 + 2292. What is the third derivative of s(o) wrt o?\nAnswer: 4050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-2))\/(-5)*(-6)\/30.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*w - 36*w - 47*w = 730 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16949 or 77?\nAnswer: -16949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 4. Suppose 5*c = 2*n + 13, 28 + 4 = -3*n - 5*c. Let a be y(n). Suppose 3*o = -a*i, o = i + 2*i + 14. Sort i, -5, 2 in descending order.\nAnswer: 2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-14 - -13 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 518, 515 in descending order.\nAnswer: 518, 515, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -786*i**3 + 3*i**2 + 3*i + 1. Let q be t(-1). Let d = q - 475. Does 19 divide (28\/6)\/(16\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56204 divided by -4.\nAnswer: 14051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -352.\nAnswer: -1\/352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -13\/7*f**4 + 15\/7*f**3 + 0 - f**2 + 1\/7*f + 4\/7*f**5 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2659\/299 less than or equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1727225035, 3454450071, 5181675107, 6908900143, 8636125179, 10363350215?\n\"Answer: 1727225036*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f*f**(-1\/6)\/f)*f*f**(1\/2))**(-9) assuming f is positive.\nAnswer: f**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-52)\/12 + 2 - (-6)\/(-9). Is (-1 + m\/(-4))\/(17\/(-36788)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 1437*d**2 + 2*d + 3. Let u be w(6). Let h = u + -20599. Suppose 3*x = h - 1148. Round x to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 9*x - 6. Let o be (1 - -11)*(-12)\/18. Let k be z(o). Suppose -s = -k*s + 12. Calculate the smallest common multiple of s and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14758 - 14655. Solve -u*i + 75*i + 140 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 0*h + 0*h**3 - 85\/2*h**2 + 74 + 147\/4*h**4. What is the second derivative of w(q) wrt q?\nAnswer: 882*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 18*b**2 + 37*b + 3. Let w be c(-2). Let u(p) = 8*p**3 - 2*p + 1. What is u(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 101, 207, 315, 425, 537?\n\"Answer: h**2 + 103*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 620.9 - 641. What is q rounded to zero decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1624839.\nAnswer: 3, 541613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20708000 rounded to the nearest one hundred thousand?\nAnswer: 20700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(-121 - 90 - 256)*(j + 4*j - 4*j).\nAnswer: -467*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - (-483)\/(-663)) + 70\/(-595). What is the third smallest value in -2\/21, 10, g?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -3, 1 in increasing order.\nAnswer: -5, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 370 = -h, 4*f - 108 = -4*h + 1392. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 32 + -15 + (-124 - (-10 + 17))?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -32*g**2 - 701*g. Let t(b) = 26*b**2 + 703*b. Let z(u) = 4*k(u) + 5*t(u). Let d(a) = -3*a**2. Calculate z(d(m)).\nAnswer: 18*m**4 - 2133*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 30 = 7542*p - 7545*p, -4*r = -5*p - 57 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 + 80. Is s != 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 5.41.\nAnswer: 20.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.42 (c) 0.2 (d) 20\/847\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 0*g**6 + 0*g**5 - 3*g - 7\/6*g**3 + 0 + 0*g**4 - 1\/2*g**7 + 0*g**2. What is the second derivative of c(h) wrt h?\nAnswer: -420*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1243\/60 - -104\/5. Let q(p) be the second derivative of -1\/20*p**5 + 1\/84*p**7 + 0 - 2*p + h*p**3 - 1\/12*p**4 + 1\/60*p**6 + 1\/4*p**2. Factor q(w).\nAnswer: (w - 1)**2*(w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10\/9, 6, 0.09, -4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11617854253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 15, 2*h + 32 = 5*h + 2*n. Calculate the remainder when h is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + n + 3. Let h be j(-5). Suppose -z - s = -0*s + 4, h = -5*z - 2*s. Suppose -15 = -5*d - 5. Sort z, d, 0 in ascending order.\nAnswer: z, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**3 - 8*t**2 + 21*t + 9. Is 14 a factor of v(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 156 + -154. Let o be (-410)\/(-30)*20*g*-6. Round o to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 3)*(-4*j - 2*j - 2*j)*(j - 2*j + 4*j).\nAnswer: 168*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -465 divided by -53316.\nAnswer: 155\/17772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -2. Let z = g + -3. Let s(p) be the second derivative of p**3\/6 + 6*p**2 + 180*p. What is s(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 857808816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -115.5 + 119.5. What is the nearest to -0.3 in -6\/101, z, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -4631612?\nAnswer: -4631606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-2))\/(3\/6). Let s = 8 - z. Let f = s + -3. Solve 0 = o + f, -5*o - 30 = 3*w + 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 - 6*n**3 + 2*n**2 + 6*n - 4.\nAnswer: 2*(n - 2)*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -29*q**2 + 3*q + 32. Let s(y) = -3*y. Determine s(m(v)).\nAnswer: 87*v**2 - 9*v - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*3*-1 - sqrt(153))\/(sqrt(9) + -2*sqrt(576) + sqrt(576)).\nAnswer: 4*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 145*s**4 + 5*s**2 + 45*s - 1266. Let d(l) = -73*l**4 - 3*l**2 - 27*l + 633. Let a(h) = -5*d(h) - 3*v(h). What is the first derivative of a(w) wrt w?\nAnswer: -280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 29*y - 12. Let z(s) = s**2 + 31*s - 14. Determine -5*b(k) + 4*z(k).\nAnswer: -k**2 - 21*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (1 + sqrt(52)\/sqrt(4))) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 774135 and 10.\nAnswer: 1548270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 57 = -4*z. Let c = 36 - z. Let t be (-2)\/c - (-748004)\/22. What is t rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.25959 rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/20 - -46*717\/(-30). Let u = d - -1927. Calculate the highest common factor of u and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 2. Suppose s*g - 2*g = 8. Solve -3*z + 0*x - 6 = 3*x, -g = 2*x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2483\/4? (a) 5 (b) -16 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 92 = -5*l, 3*j + 6 = -5*l + 94. What is the greatest common factor of 8 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 + -5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4 = -v, -2*v + 7 = 10*o - 11*o. Differentiate -25*i**2 - 5*i**3 + 25*i**2 - 7 + 13*i**v with respect to i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 487265276.\nAnswer: 1949061104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/270*1\/(15\/25).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 210, 833, 1882, 3363, 5282, 7645?\n\"Answer: g**3 + 207*g**2 - 5*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 6*m + 7. Let y(c) = 44*c**3 + 2*c**2 - c. Let x be y(1). Let l be (-10)\/x - (-112)\/18. Calculate w(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6.792167s?\nAnswer: 6792.167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14467685 divided by -8?\nAnswer: -14467685\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {n: 1, w: 8, s: 2, q: 5}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4)*m)**(-35)\/((m*m*m*m**(-1\/3)*m)\/m)**13 assuming m is positive.\nAnswer: m**(-941\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -165 divided by -111011\nAnswer: 165\/111011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 266404 (base 7) to base 5.\nAnswer: 3102103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3947, -2, 5, 71, 16 in increasing order.\nAnswer: -3947, -5, -2, 5, 16, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295*j**3 + 2 - 2.\nAnswer: 295*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fftrrrggr. Give prob of picking 1 g and 2 f.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*y + 1106, y = -4*f - 2*y - 2157. Let t = 387 + -679. Let x = t - f. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 3) in base 12?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -605, 58922, 1, 3, -3 in ascending order.\nAnswer: -605, -3, 1, 3, 58922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -138*o**5*w - 2*o**5 - 273*o*w wrt o?\nAnswer: -2760*o**3*w - 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 10 - 15. Let w be (3 - (3 - 26\/(-4)))*-2. Suppose 0 = 2*h + 3 - w. Put h, a, 3 in decreasing order.\nAnswer: h, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12050?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 87*w + 1041. Determine f(-15).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 452510 and 780?\nAnswer: 35295780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*n + 22*n. Let c be 5 + -1 - (-9 - 9). Let v = -21 + c. Solve n = 3*w + v + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 5:48 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-725496)\/74)\/(-129)*4\/(224\/(-6))?\nAnswer: -57\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from {z: 8, y: 2, b: 2, v: 7}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.009 + -0.009. What is the nearest to -0.8 in -5, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**3 + 182*b**2 - 124*b - 4954. Give y(90).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-7)*112\/(-72). Sort -4, -1\/2, o, -1, 3 in decreasing order.\nAnswer: 3, -1\/2, -1, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2469594*f**3 - 1332*f**2 + 4435*f wrt f?\nAnswer: 14817564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 2*r - m, -5*r + 3*m = -10*r + 202. Suppose -2*b + r = 5*l, 5*l - 10 - 12 = 2*b. Is (2\/l - 3056\/(-6))*3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -339 - -702. Suppose -7 = 2*c - 3, -s = 2*c - m. What are the prime factors of s?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.384\nAnswer: 0.1152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(1\/11)*y)\/y)**(4\/19)\/(y*y*y\/(y\/(y\/((y\/(y*y**(2\/29)))\/y)))*y*y**16*y) assuming y is positive.\nAnswer: y**(-132368\/6061)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*c + 4. Find the third derivative of 3*p**4 - 2 + c + 3*p**2 wrt p.\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132797.16ms to hours.\nAnswer: 0.0368881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 2940991?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4510376 to the power of 1\/2, to the nearest integer?\nAnswer: 2124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 31 * 2080.583\nAnswer: 64498.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*9*5\/(-405)*-13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -243 divided by -40205.\nAnswer: 243\/40205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/4? (a) -1\/3 (b) 4 (c) 88\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 50*c - 99. Suppose -5*d - 54 = b + 189, 0 = -5*d + 5*b - 225. Determine a(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2254, 0, -12900, -1.\nAnswer: -12900, -5, -1, 0, 2254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*j + 6 + 9, 2*j - 6 = 5*t. Solve j*x = 4*a - 5, -2*x + 0*a + a + 5 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1645878474 and 186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 7:13 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 7.16. Let w = d - -0.24. What is the biggest value in 1, -3, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/3)*w)\/w*w*w*w\/(w\/(w**(1\/5)\/w)*w))\/(w**(-6\/11)\/(w**4\/w)))**43 assuming w is positive.\nAnswer: w**(28939\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2491935400.1112?\nAnswer: 2491935398.1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 18 - 6. Let x(p) be the third derivative of -p**6\/60 - p**5\/15 + p**4\/24 + 2*p**3\/3 + p**2. Is x(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + 10 + 2 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*((-2 + 0 + 0)*(-2*z + z + 0*z) + (106 + 372 - 13)*(-2*z + 2*z + z)).\nAnswer: -934*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/((-45)\/10))\/(-17 + 296\/16). Determine k so that -4\/3*k**2 - x*k**5 + 0 - 8\/3*k + 4\/3*k**4 + 4*k**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*n + 3*u + 50, 15*n - 13*n - 5*u = -15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/49 - 473\/1323. Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.025 + -0.114. Let j = 26.089 + o. Let u = -26.3 + j. What is the second biggest value in u, -4\/21, 5?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from tttmtadmatammbmd.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 31\/8 - (-4)\/32. Suppose -2*o - 2*v = f, -3*o + 4*o = v + 4. Which is bigger: o or 2\/19?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -39*i**5\/5 + 3*i**4\/2 + 39*i**3 + 30*i**2 - 12*i + 183. Determine t so that r(t) = 0.\nAnswer: -1, 2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/((-2860)\/952) - -2. Let p = a + -2\/13. Factor -10\/11 - 12\/11*s - p*s**2.\nAnswer: -2*(s + 1)*(s + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.16 (b) 208 (c) -104 (d) -5 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1470) - (-4*(2*sqrt(1470) - sqrt(1470)) + sqrt(1470)) - -2*(sqrt(1470) + 1*sqrt(1470)))\/((sqrt(80)*-2*1)\/(6*sqrt(72))).\nAnswer: -504*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1599 - -1602. Solve -3*c = -f*x + 21, 0 = -3*c - x - 0 - 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 1:01 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2. Let i(p) be the third derivative of 0*p**3 + 0*p - 1\/12*p**4 + 0 + 7*p**2. Calculate f(i(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b + 1. Let d be h(-2). Suppose 2*t = 2*u - 2, -4*t + 5 = 5*u - 0*u. Sort 2, d, t.\nAnswer: d, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9832.68067*5\nAnswer: 49163.40335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12063926*n**2 + 3675*n + 410?\nAnswer: 24127852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 + 1459*k**4 + k**3 - 733*k**4 + 7 - 730*k**4 + 2*k**2 to the form s*k**4 + n + w*k**2 + l*k + c*k**3 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 13*u**2\/2 - u + 57. Give o(4).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -24866, 0.4, -0.3, 13 in descending order.\nAnswer: 13, 5, 0.4, -0.3, -24866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 4:07 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 408 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = o - 8, -4*o - 5*p = -8*o - 7. Sort o, -5, -27, -1 in ascending order.\nAnswer: -27, -5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131732938 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1.221, 3, 29?\nAnswer: -1.221","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -74.7 + -1546684.2946\nAnswer: -1546758.9946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48274120 divided by 225580.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -288 divided by 869707\nAnswer: -288\/869707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 0 + 4 - -3. Suppose 0 = 2*q - 3*s, -2*q + s - b = -3*q. Let t be (-2)\/(-12) + (-187)\/(-66). Calculate the greatest common divisor of t and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 7*t - 4*t + 32*g + 1757, -t + 382 = -7*g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65135\/53 + 1229. Let h = 340\/583 - t. Is 1 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 272.0000034 - 272. Round z to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.421 + 1.579. Let y = -53 - -49. Which is the nearest to y? (a) 2\/13 (b) z (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*-3 + 2)*2 - ((sqrt(190) - 5*(sqrt(190) - (sqrt(190) - sqrt(190)*-1))) + sqrt(190))\/(1*sqrt(50)\/sqrt(5)).\nAnswer: -61*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -51*u + 2*u - 3*u + 3 - 3. Let w(o) = -2*o. Give m(w(y)).\nAnswer: 104*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2*5\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3 + 2*c - 2*c + c + 0. Let t(u) = -26*u - 24. Let b(f) = -5*f - 5. Let o(i) = -16*b(i) + 3*t(i). What is 3*o(l) - 8*v(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.392 + 0.4. Let z = v + 0.202. Let h = z - 0.01. Which is smaller: -1\/2 or h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-25)*1\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 7*l**4\/6 + 8*l**3 + l**2 - l. What are the prime factors of s(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 233*s + 2801. Let o be y(-12). Let w be 1*(1 + 0 - 1). Which is the fourth biggest value? (a) o (b) 1\/10 (c) w (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1274350.09 and -4.68.\nAnswer: -1274354.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 155*l - 4871. Give x(32).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3116 + 3077 - 12414 + 3111 - 106*t + 3110.\nAnswer: -106*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218566167 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 858 divided by 1259?\nAnswer: 858\/1259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*g + 6*o - 28, o - 9 = -g. Suppose -2*l = -5*i + 15 + 5, -g*i = -4*l - 16. Sort 4, -3, l.\nAnswer: -3, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f - 2. Let x be g(-3). Suppose s - 21 = 5*a, -x*a = -4*s + 80 + 52. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.4 + -7.4. Let g = -1 + 0. Which is the nearest to 2? (a) r (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16940 divided by 11?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.0645*-789289\nAnswer: -50909.1405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cgg when three letters picked without replacement from {g: 7, c: 5}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 735 (b) 1 (c) 2\/223 (d) -2 (e) -1 (f) 2 (g) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*t, x + 2*t + 0*t = -2. Suppose 3*a - 100 + 38 = 5*w, -4*w - 3*a - 55 = x. Is -13 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-5)\/5)*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72448.17 litres?\nAnswer: 72448170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**2 + 8*k - 8. Let h(l) = l**2 + l - 1. Let f(z) = 6*h(z) - t(z). Let a be (2 + 0)*9\/6. List the prime factors of f(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (162\/(-855))\/(-18)*(-5)\/((-1)\/(-1))\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n\/n**0))\/n)\/n*n)**(4\/25)*(n**2)**48 assuming n is positive.\nAnswer: n**(2392\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-35) + (-826713)\/63315\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 7. Suppose -2*t - 3*a + 0 - 23 = 0, -2*t = 2*a + 16. Determine v(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 6 + 4 + 93*f + 15*f.\nAnswer: 111*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15579699 and -0.2.\nAnswer: -3115939.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23130624 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*b**2 + 2*b**2 - 3*b**2)*(-2*b**2 - 2*b**2 - 7*b**2)*(2*b - b + 0*b) - 2*b**5 + b**5 + 3*b**5 + (0*b + b + 0*b)*(2*b**4 + 5*b**3 - 5*b**3).\nAnswer: 136*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4234 is divided by 2077?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/1 + (-7 - (4 + -16)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6240, -6239, -6238, -6237?\n\"Answer: b - 6241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2666112 and 12576?\nAnswer: 2666112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(102) - (sqrt(102) + 2*sqrt(102)*-4 - sqrt(102)) - sqrt(102))\/sqrt(6) + sqrt(68)*-3 + 5.\nAnswer: 2*sqrt(17) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + -2 - 6 - -86 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 3*c + 88. Let w be (8 + -13)*((-48)\/15)\/4. What is the greatest common factor of w and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 46, 58, 76, 100, 130?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 - 75896*b - b**3 + 0*b**2 + 75915*b.\nAnswer: -b**3 + 3*b**2 + 19*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m - 15. Let c be a(5). Solve -4*y - 2 - 10 = c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k + 12. Let m(y) = 5*y + 12. Let z(j) = 4*b(j) - 3*m(j). Let i be z(-9). Let f be i\/(3*(-4)\/(-8)). Solve n + f = -2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**6\/51 + 12*y**4\/17 + 128*y**3\/51 + 48*y**2\/17 - 177. Factor d(k).\nAnswer: -2*k*(k - 6)*(k + 2)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6756330 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -k + 0*k - k + (-3*k + 4*k + 0*k)*(0 - 2 + 0) + 3 + k - 3 + 21*k - 20*k - 41*k as v + w*k and give w.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/((-126)\/(-203)) + (-1)\/(-6). Let g be 1 + s\/(-7) + (-6)\/21. Solve -f + 5 = 4*p - 2, g = f - 3*p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*((-1500)\/1125 - (1 - 88\/39)). Which is the closest to -5\/11? (a) 3 (b) 1\/4 (c) -3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116 + 459. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 15507110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*m**2 + 402*m**2 + 858*m**2.\nAnswer: 1462*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 251 and 27861.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 318048097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4158 - 58243\/14. What is the common denominator of 5\/((-75)\/6) + 701\/90 and y?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -144*h**3 + 1497*h wrt h?\nAnswer: -864*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 7*k = 1700. Suppose 15*q - 32*q + k = 0. Solve -h - q = 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -31 in increasing order.\nAnswer: -31, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.21 + -0.79. Let z be 1*-1*(-2)\/4. Which is the nearest to -0.1? (a) z (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x - 2*x + 5*x)*(3 - 2 + 0)*(-9 - 21 + 5 + 5 + 0 - 4 + (-3 + 1 + 3)*(-1 + 5 - 2)) to a*x + g and give a.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 968248603?\nAnswer: 968248604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**2 + 931539660*s - 108470767269114450 = 0.\nAnswer: 232884915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(80) + sqrt(80))\/sqrt(4))\/((-3*sqrt(28))\/sqrt(7) - sqrt(4)) + (-2*sqrt(2025))\/sqrt(5) + 5 + -5.\nAnswer: -37*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + 3*h - 8 + 5 + ((-5*h + h + 5*h)*(-1 + 0 + 2) + 2*h - 1 + 1 - 8 - 11*h + 8)*(-7 - 3 - 3).\nAnswer: 106*h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8593? (a) -11 (b) 5 (c) 2\/11 (d) 3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -71*f - f**2 + 29*f - 2 + 33*f. List the prime factors of t(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 4:33 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 806826, 1613687, 2420538, 3227379?\nAnswer: 4034210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uumuuymur. What is prob of picking 1 r and 1 y?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64768957 and 649?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11948 and 1276.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, 5, -4, 1, -3 in increasing order.\nAnswer: -103, -4, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-35)\/10 - -3)\/(1\/14). Let q(a) be the first derivative of 10*a**3\/3 + 2*a**2 + 3*a + 1. Let d(w) = -7*w**2 - 3*w - 2. Determine p*d(t) - 5*q(t).\nAnswer: -t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652174 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 7 = 2*n - 1, -2 = -2*n. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1826)\/110 - -20)*-5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428273?\nAnswer: 428273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1304 + 2852. Let p = 2674 - s. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*10\/(-105)*1\/(-3)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0959*23250\nAnswer: -2229.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.288*100710.\nAnswer: 29004.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12084011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 24 = 4*i, 5*i - 4 = 3*i + 2*n. Suppose -z - i = -3*r + 2*r, 0 = -4*z + 12. Let f(h) = -r*h - 2*h - 4*h + 12*h. Let a(l) = 20*l**2. Give a(f(x)).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -145.6742 * 0.5.\nAnswer: -72.8371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133650 and 18975?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -147873664?\nAnswer: 147873663.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 81\/(-7) - -6 - (-3)\/(-7). Which is the biggest value? (a) 5 (b) g (c) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 28712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 42 = -2*b. Let d(t) = 53*t + 50. Is d(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.2, 2\/5, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 y when four letters picked without replacement from ybbyhhhbhbyhhhybyh?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3 = -18. Let x be ((-830)\/(-5810))\/(1\/(-23)). Is x less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/6*1*-3. Suppose 8*n = z*n + 5. Solve 3 = -2*j - 1, -j - 7 = -n*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -162267\/5 + 32335. Let y = -118 - l. Which is bigger: y or 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16626414+0.02068\nAnswer: -16626413.97932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -460 + 474 - 14\/1. Solve 32*j - 43*j - 77 = i for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2120308147.\nAnswer: 31, 7489, 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/809 less than or equal to -0.08218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3173329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-87)\/58)\/(14*11\/(-616)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 - -480. Calculate the highest common factor of 171 and h.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 9. Let d = u + 22\/3. Let o = 13\/42 - -4\/21. Put o, -10, d in decreasing order.\nAnswer: o, d, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1141 + 4347 + 5408 = 454*k for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/36*-12*(-44)\/89760.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 205363983 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 258*f - 255*f + 115, 4*f - 12*g + 272 = -68 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19005 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47 (base 13) to base 2.\nAnswer: -111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1282431603 - 12130.\nAnswer: 1282419473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 5*k**2 - k + 4. Let a be b(5). Let c be -4 + 1 + 3 + a. Sort -5, c, 0.5 in descending order.\nAnswer: 0.5, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p + 11*p - 9*p - 2719 + 2719.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 0.5. Let m = i - 0.7. Let y = 0.5 + m. Which is greater: -2\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1151779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3080 divided by -56.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 8*p**2 + 8*p - 5. Let l be j(7). Suppose l*c - 7*c - 30 = 0. Let d = 1 - c. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26 * -4.0626.\nAnswer: -105.6276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -2) + (10 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(443*o**2 - 440*o**2 + 6*o**3 + 2*o**3).\nAnswer: -8*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.14 - -11. Let j = 0.16 - q. Which is the second biggest value? (a) -0.2 (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 1\/(17\/136).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 31 - 16 = 0. What is the common denominator of (-12)\/(-80) - (4 - 3) - t and 95\/78?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293647248 divided by 69126?\nAnswer: 4248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -o + 6*o + 75, -60 = 4*o + 3*c. Let s = -13 - o. Let b = s - -16. Calculate the highest common factor of 12 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -17*y**2 - 9*y - 92. Let j = -10 + 4. Let t(x) = -x**2 + x + 2. Let h(q) = j*t(q) - w(q). Find the first derivative of h(g) wrt g.\nAnswer: 46*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3918, 7830, 11742, 15654, 19566, 23478?\nAnswer: 27390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 - j**3 - 5*j**3 + (3*j - 2*j**2 - 3*j)*(0*j - 2*j - 3*j).\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4681*t**2 + 126378*t - 264. Calculate o(-27).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 9220*n - 4669*n - 106 + 30 - 4671*n as t*n + u and give u.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000419708 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -512.6 + 513. Let h = 0.54 - 0.6. Sort l, 3, h in decreasing order.\nAnswer: 3, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or 9594\/79?\nAnswer: 9594\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 8*h - 3*h = -57, 3*h = 0. Let k(v) = 7*v**3 + 19 + 7 - 18*v - 6*v**3 + 3*v**2 - 13*v**2 - 8*v**2. Is 15 a factor of k(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-5 + (-1703)\/(-131).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millisecond in microseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (0 + -1) - (19 - 26)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -259.24813 rounded to zero decimal places?\nAnswer: -259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 101. What are the prime factors of h?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/2 + 35769*v + 426473787\/2.\nAnswer: 3*(v + 11923)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -266, -588, -906, -1220?\n\"Answer: 2*w**2 - 328*w + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16.7 (b) -3 (c) 2 (d) -0.13078 (e) 1 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7453, 7451, 7447, 7441, 7433?\nAnswer: 7423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 371040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60374*k + 4 - 7499*k - 4.\nAnswer: 52875*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -831 - -740 - (-16 + -3 - (-3 - -1)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/10*-5 + 5)*-69*65 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*r - 9*r**2 - 85*r - r**3 + 13*r**3 + 37*r - 2 in the form i*r**2 + u*r + k*r**3 + l and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (-5599)\/(1*(-3 - -2)). Let h = 1402 - r. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098008699 to the power of 1\/3, to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1986818789?\nAnswer: 12941, 153529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*n - 985*n - 1609*n + 391*n.\nAnswer: -2087*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 16. Let d = -15 - q. Let z(x) = -3*x + 9. What is the tens digit of z(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4, 2*x + 3*p - 5 - 19 = 0. Let f be (x - 11)*5\/2. What is the third biggest value in f, -14, 0.3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 divide 480451826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 2*n + 2. Suppose 0*h - d - 14 = 3*h, -h - 10 = 3*d. List the prime factors of l(h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 0*z**5 - 3*z**2 + 0*z**3 + 0*z + 1\/60*z**6 - 1\/6*z**4 + 0. Find the second derivative of l(o) wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -31*u + 124. Let m be r(4). Solve -4*i - 25 = 5*s, 3*i - 25 = 5*s - m*i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754131.\nAnswer: 3, 7, 35911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 441 + -429. Solve -i + 5 = g - 2*y, -10 = -2*g - 4*y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611221?\nAnswer: 13, 47017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/24694 and 27\/4.\nAnswer: 49388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -9*l + 814350. Let b = -25435 + l. What is b rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*(-32)\/(-280))\/(6\/7)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 275*x - 3992. Determine k(12).\nAnswer: -692","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 72, 3, -5, 75642 in decreasing order.\nAnswer: 75642, 72, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -167, 5, 94, -4 in descending order.\nAnswer: 94, 5, -4, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 6425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 20*h + 280. Let f be y(-14). Let g = 0 + 0. Solve g*t - t = f for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-198)\/(-72)*4\/(-22)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -3\/2, 2\/175, 0.2, 1, -1\/18?\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -4.8. What is the fourth biggest value in 0, m, 4, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/47498 and 87\/271898.\nAnswer: 34531046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 238110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1083*k**3 - 60876*k**2 - 12780*k - 672.\nAnswer: -3*(k + 56)*(19*k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.294, 35, 4 in decreasing order.\nAnswer: 35, 5.294, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-15)\/(-6))*(-8 - (-5 + (-2635)\/(-93)))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.242 - -10.458. Let n = -22.9 + l. Let m = 27.9 + n. Round m to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81.9 at most 123786?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1*o)**(6\/23)*o**(-4\/5)*o*o*(o*o*o**(-3)*o)\/o assuming o is positive.\nAnswer: o**(83\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 443, 881, 1305, 1709, 2087, 2433?\nAnswer: 2741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 9*t**2 + 6*t - 2. Let v be m(9). Suppose -7*l + v = 4*w - 8*l, -w + 3*l = -24. Which is smaller: 2 or w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 671265.2 rounded to the nearest ten thousand?\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -152 at most as big as 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmd when three letters picked without replacement from {d: 11, m: 9}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w**3 - 13*w**2 + w + 138. Let c(d) = -6*d**3 + 11*d**2 - d - 138. What is 6*c(z) + 5*x(z)?\nAnswer: -z**3 + z**2 - z - 138","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-6) - 1694\/(-33). Let z = v + -31. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1180892 divided by -5\nAnswer: 1180892\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -1, -23, 3942, 22 in increasing order.\nAnswer: -23, -2, -1, 3, 22, 3942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f + 54. Let i be -31 + (5 - 2) - -5. Let k be g(i). What is the second derivative of -18*a**4 + a + k*a**4 - 2*a wrt a?\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 - 44 = 10*z. Put z, -5, 2 in descending order.\nAnswer: 2, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - q + 2. Let x be r(2). Suppose -i + 16 + x = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 8 = -2*d. Let r = d + -3. Calculate the remainder when 7 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1458178*h**5 + 2*h**4 - 2*h**3 + 385267*h**2 + 2*h - 82.\nAnswer: -87490680*h**2 + 48*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 50*r**2 + 46*r**2 - 9*r + 21 + 84*r**2 - 10. Is f(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 67895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, q: 1, h: 1, b: 1, t: 1}. What is prob of picking 1 h and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -11 - (14 - (-19 - (0 - 27)))) + -90?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((928\/(-32))\/87)\/(2\/(-36)*-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -8*z**3 + z**2 + 2*z + 1. Let i be l(-1). Let f(h) = -h**2 + 10*h + 5. Let r be f(i). Let v = r + -10. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 97341*w**3 - 8*w**2 - 125006*w + 2.\nAnswer: 584046*w - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -71702 - 84?\nAnswer: -71786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 46.6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a. Let d(i) be the third derivative of -i**5\/60 - 7*i**2. Calculate d(q(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -97 and 26?\nAnswer: -2522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3115007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 182 + 305. Let p = -485 + i. What is the least common multiple of p and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 144504.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*p + 5*a = 327, -p + 17 = -3*p + 5*a - 10*a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 + 28 - 75*o to d*o + l and give d.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2088 is divided by 2088.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/15 - (-782)\/10 is divided by 185\/11 + -1 + (-58)\/(-319)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*p + 42*p - 44. Which is smaller: p or 217?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-1 + 1 + p) + 0*p - 2*p + p - 4*p + 0*p + 5*p + 4 - 3*p - 9 + 3 - 2*p - 2*p - 3*p + 2.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + (-3*(1 + sqrt(304)) - ((1 + sqrt(304))**2 + 4)))*-1*1.\nAnswer: 20*sqrt(19) + 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ycwrzcrwwcwyzww. Give prob of sequence wycy.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 45 = -0*q + 3*q, 5*f - 2*q = -45. Suppose -5*g = 33 - 88. Let t = f + g. What is the highest common factor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011011 (base 2) to base 15\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -0.2 (c) 2 (d) -0.4 (e) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47.939 - 0.061. Let i = g + 40. Suppose 9 + 1 = -2*p. Which is the second biggest value? (a) 0 (b) i (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1083*g + 517*g = 42413 - 119605 - 113208 for g.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71081698 and 310.\nAnswer: 355408490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 379.6878 decades?\nAnswer: 45562.536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 z, and 1 w when three letters picked without replacement from czrprpwf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1199 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4)*8\/(-25)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*n - 57*n + 12 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -31. Let c = 26 + m. Suppose -3*l + 24 + c = 0. Calculate the highest common factor of 14 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 394226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 - -90. Calculate the remainder when 65 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 5 + 3*r - 2*r. Let y be (-8)\/(-2) + ((-8)\/(-24))\/((-7)\/(-42)). Give s(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-9) + (-1)\/(-1). Let l = -149 - -122. Let y be (2674\/684 - 6\/l) + -4. Which is bigger: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 0*r**2 - 239733 - 3*r**2 + 239733. Let c(t) = 256*t. Give c(u(n)).\nAnswer: -768*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3 (b) 1\/5 (c) 1\/6 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -777.42681.\nAnswer: -777.42681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41\/9? (a) 0.3 (b) -2 (c) 4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r - 20*r - 27 = 0 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24 - 5?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52 and 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 1\/6*p**4 + p**3 + 18*p + 0 + 0*p**2. Suppose a(j) = 0. What is j?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2780?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/26? (a) 6\/5 (b) 0.1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -222*k**3 - 2*k + 218*k**3 + k**4 - 2*k**4 - 5*k**2.\nAnswer: -k*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -46, -2\/7, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 6454.9\nAnswer: -25819.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 7 = -6*c + c, -5*h - 13 = 4*c. Put h, 5, -2\/31, -5 in descending order.\nAnswer: 5, -2\/31, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-6))\/(116\/(-29))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 895081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ny when two letters picked without replacement from nncecyoelecnl?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 61 = 14*t, -229*t - 58 = -5*x - 234*t + 22 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(3\/4)*l**(2\/7)*(l*l**(-2\/7)*l)**(-27\/5))\/((l**(3\/7)\/(l\/((l\/(l**(-2\/11)*l))\/l)))\/(l*(l**(-2)\/l)\/l)**(-11)) assuming l is positive.\nAnswer: l**(5977\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 16*j**2 - 506*j + 175. Give w(-32).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*d - 69*d. Solve d = -g - 2*t + 3, 7*g - 29 = 2*g + 4*t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 320 + -194. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-21)*(-273)\/117\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/39)\/2*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.9 + 0.9. Which is the nearest to f? (a) -2\/15 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**6\/480 + w**5\/240 - 9*w**2. Factor r(c).\nAnswer: c**2*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3\/i)**(1\/19)\/(i**(1\/18)\/(i*i**(-4))))**8 assuming i is positive.\nAnswer: i**(-4036\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 9:31 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvhdthvvhhvhhdht. Give prob of sequence dt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111332725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 13*w**2 - 57*w**3 - 31*w**2 + 17*w**2. Let b be x(-1). Let s = b - 34. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z + 8. Suppose 5*d - 6*d = -4*l - 18, 4*l = 4*d - 24. Let a(m) = m. Calculate l*a(b) + y(b).\nAnswer: 2*b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - s + 302 + 13 = 0, 0 = -3*s. Round f to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 13*m**2 - 4*m + 56. Determine a(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = l - 20, -5 = -3*x + 2*l - 0. Let j(d) = 9 - d + x - 15. What is j(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/3 of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/14 - (-612)\/(-14). Let c = -31 - u. Suppose 2*z - 4*l = 92, 2*z - 3*l = z + 43. What is the highest common factor of c and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1507494 and -107\/26.\nAnswer: 19597422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 3*d**2 - d + 5. Let q be m(-4). Let h(p) = p**2 + 4*p - 7. What is the units digit of h(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 + 4)*(-11*n**2 - 36*n**2 + 6*n**2) to the form d*n + k*n**2 + w and give k.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 105*t**2 + 253*t - 49956. What is c(107)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/9*3*3. Suppose 5*i - 30 + 0 = t, 0 = -5*i - m*t + 15. Sort 3, -5, i.\nAnswer: -5, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*k**2\/3 + 51277012*k + 21975864 = 0.\nAnswer: -3\/7, 5493966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by ((-2)\/(-2))\/(1 - 30\/31)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5596.44526 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 299 = -221. Suppose 3*g + g = j. Suppose 2*r + 104 = 4*r. What is the greatest common divisor of r and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.202 + 0.302. Which is the closest to 0? (a) -4\/3 (b) 29 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 30*z + 51. Let l(q) = -q**2 + 1. Let j(r) = i(r) - 6*l(r). Factor j(k).\nAnswer: 5*(k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.57*6.\nAnswer: 15.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*f**3 - 9*f**3 - 2*f - f**2 + 3*f**2 + 2 - f**4 as m*f + z + u*f**2 + y*f**3 + k*f**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 17*d**2 - 18*d - 17. Let j be t(-18). Let k = 12 + j. Calculate the lowest common multiple of 9 and 15 + -5 + k + 13.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1543215, -3086432, -4629649, -6172866, -7716083?\nAnswer: -9259300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47344650 divided by 15781550.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k + 4. Let g be x(-4). Let n(d) = -d - 1. Let p be n(g). Suppose -p*o = -4*o + 157. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqqqqpqpqq. What is prob of picking 1 p, 1 q, and 1 x?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87*d**2*v**3*z - d**2*v**3 + 2*d*v**3*z + d*z + 2*v**2*z - 4*v**2 wrt d.\nAnswer: 174*v**3*z - 2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*5\/(-72))\/((-950)\/8835*31)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 4*s - 29, 5*g - 7829*s + 20 = -7834*s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011011111001 - 1100110010?\nAnswer: -100101000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4588 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64 + -34 - 34)\/(((-249)\/(-2158))\/(6\/(-2)))?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/(-9))\/(1\/(-3)). Let c = -3 - j. Suppose c*m = -m + 18. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 446.9 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 516268768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 114 - 119. Let q(g) = -g**2 - 2*g + 20. What is the remainder when ((-9)\/(-6))\/((-3)\/(-16)) is divided by q(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -91*x**6\/720 - 97*x**5\/60 - 223*x**4\/24 - 8*x**2 - 3. Let q(y) be the second derivative of f(y). Differentiate q(v) wrt v.\nAnswer: -91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -34 + 32 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2055*t**4 + 93908*t - 116335953?\nAnswer: 8220*t**3 + 93908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5 + (0 + 0 + 3)*(1 + 2 - 6))*(-z + 0*z + 2*z).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23532948?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6975 and 97371.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144) + sqrt(144) + (sqrt(144) - sqrt(144)*4))\/(sqrt(48)*-4).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 549137746 and 8.\nAnswer: 549137754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 364487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2*g + 2, -3*g + 6 + 12 = v. Suppose 5*a - 13 = 3*q, 0*q + 3*q = -v. Solve 3*t - 2*i = -i - 15, -t - a*i = 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 5*d + 355, -4*b - 69 - 291 = 5*d. Suppose -820*a + 310 = -825*a - 75. Is a > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 227?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 395136 divided by 4?\nAnswer: 98784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 2:09 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -146*n - 734*n**2 - 360*n**3 - 104*n - 35*n**4 - 241*n**2.\nAnswer: -5*n*(n + 5)**2*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**10)\/p**(-3) assuming p is positive.\nAnswer: p**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 8*u**3 - 54*u**2 - 198*u + 1311. Give h(6).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12820 - -12819.9999924875. Round i to seven dps.\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-126)\/35*30\/(-4). Let d = o + -23. Is 3846\/d*(-16)\/(-24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -33*r**3 + 16*r**2 - 2*r - 2. Is p(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 4*t**2 - 3*t - 4. Let x(p) = p**3 + 3*p**2 - 3*p - 3. Let g be ((28\/8)\/(-7))\/(1\/(-8)). Determine g*x(h) - 3*d(h).\nAnswer: h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + v = 2, 21*j - 19*j - 4 = 5*v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.31 (b) -1 (c) -22.5 (d) 0.5 (e) -14 (f) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qn when two letters picked without replacement from neqejeujujqljlq?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/1 + -118 - (268 + 64818\/(-234))?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-189)\/66 + (-6)\/(-2) and (16 - -55)\/((-2)\/(-1)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 19, 6.\nAnswer: 0.4, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -33 (b) 0 (c) 35 (d) 3 (e) 7\/2 (f) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 1\/(-3))*12\/(-18).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/563 + 2803\/3378. Let s(q) be the second derivative of p*q**3 + 0 + 2*q**2 - 4*q. Differentiate s(c) with respect to c.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 3*x = -58, -57*x - 30 = -4*j - 56*x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/77? (a) 4 (b) 3\/5 (c) 4732922\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 230 = -11*a. Let z = a + -8. Solve 2*p = -p - x - z, -5*p + x = 17 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6699191, -6699184, -6699175, -6699164, -6699151, -6699136?\nAnswer: -6699119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -22*m - 141. Determine v(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -1\/7 in increasing order.\nAnswer: -5, -1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 + 12 - (-18 + 9 + -6)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2608294 divided by -26\nAnswer: -100319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by -70.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*m - 63256 = 37760. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3165 - 3164.99972048. What is c rounded to five dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 + 5*v**2 - 2*v**2 + (8*v + 8*v + 5*v)*(-114*v - 225 + 225) to the form y*v + i*v**2 + p and give i.\nAnswer: -2393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67802 and 5678?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 4*j - d - 50, 5*j - 120 = -5*d. Solve 8*w = 3*w - j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 218362 - -6?\nAnswer: 218368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19524\/(-16)*(5\/(-15) + -1)?\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27980, 55903, 83698, 111371, 138928, 166375?\n\"Answer: r**3 - 70*r**2 + 28126*r - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 15, 2*j + 5 = m - 9. Let n(t) = 10*t + 66. What is the remainder when n(m) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 - 139.\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (6\/63)\/(45\/6930)*21\/56\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 16*l**2 - 9*l - 9. Suppose 105 = -240*z + 135*z. What is p(z)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -9493.6556?\nAnswer: -4746.8278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, z: 3, w: 2, k: 1}. What is prob of picking 3 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -337*r**3 - 2*r**2 + 716*r**3 - 627 - 1933 wrt r?\nAnswer: 1137*r**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**4\/6 + b**3\/3 - 2*b**2 - 3*b. Let y(a) be the first derivative of s(a). List the prime factors of y(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 48*o - 51*o - 3*x, o - 2*x = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -3, -4, 374427.\nAnswer: -22, -4, -3, 374427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 7:51 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 12*p + 32. Let a = 73 - 84. What is the units digit of q(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.0191*37.\nAnswer: 370.7067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2027512757, -4055025513, -6082538269, -8110051025, -10137563781, -12165076537?\n\"Answer: -2027512756*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**7\/525 - n**6\/75 + n**5\/30 - n**4\/30 - 258*n**2. Suppose f(s) = 0. Calculate s.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*h - 117*h - 2755*h**2 - 16880*h**2.\nAnswer: -19635*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, -1, -12, -4, 5, -105 in descending order.\nAnswer: 56, 5, -1, -4, -12, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*o - 177*o - j - 4 = -6*j, -3*o - 3*j = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 29*n**4\/12 + 3869*n. Let m(d) be the second derivative of 0 + 1\/6*d**3 + d + 0*d**2. What is m(u(q))?\nAnswer: 29*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 9*v**2 + 3*v + 21. Let d be r(-9). Let x be ((-24)\/(-10))\/d + 2\/5. What is the derivative of -12 + 15*f**4 + 1 + x*f**4 wrt f?\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8369.191 plus -21315?\nAnswer: -12945.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13007 is divided by 41?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2243817.793 rounded to the nearest one hundred?\nAnswer: -2243800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 4:57 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 53 and 318.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -310243432?\nAnswer: 310243430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 5 - 2*n**2)*(-508253 + 508253 - 1070*n**2) to the form t*n**4 + z*n**2 + y*n + j + h*n**3 and give t.\nAnswer: 2140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -14*a**3 - 2*a**2 + a. Suppose 4*k + 5*m = -1, 9 = 5*k - 2*m + 2. Calculate t(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/248)\/((-1698)\/(-4528))\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105 - 126)*((-231)\/22 + 12)*(-4)\/(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.29 - -0.01. Let l = 8 - 7.3. Let f = y + l. What is the biggest value in 2\/7, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 62*c - 674. What is the hundreds digit of n(26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 23 = -3*x + 12, 0 = x + 3. Put -3, j, -19 in increasing order.\nAnswer: -19, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 160 = -133 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -7*h - 14. Let z = -3 + h. Suppose 16*w - z*w = 1265. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -0.3, 5, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2\/2 - 1608948*t + 1294356833352 = 0.\nAnswer: 1608948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457*h + 27232 - 26233 - 20718 = 38320 for h.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 138b - 0?\nAnswer: 138b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*12\/15*1525\/10. Let g = p + 225. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7504646 - 14845348. Let t be (-8)\/20 - i\/(-15). What is t rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28058 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10722921?\nAnswer: 3, 11, 293, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 263.8295 grams?\nAnswer: 263829.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-147)*2\/(6\/9)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 1. Let j(h) = 20*h**3 - 44*h - 44. What is -2*j(q) + 88*s(q)?\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7592 divided by 4\nAnswer: 1898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/21885 and 13\/2035305.\nAnswer: 2035305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*5\/3*63\/(-70)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.855 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.98 - -0.02. Let g = 47.9 + -40.14. Let t = -7.8 + g. Which is the third biggest value? (a) -4 (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 893056\/(-81088) + (1 - (-30)\/3). Is p at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*l = -12*l - 77130 - 213498. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 - 2*b**2 + 3*b**2 + (0*b - b**2 + 0*b)*(3 - 1 + 0) + b - b + 4*b**2)*(34 + 7 - 12)*(0*b - 2*b + 0*b).\nAnswer: -58*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 10*j + 16. Let h be w(11). Solve -u - 2*z = -4*u + 4, h*u = 2*z + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ir when two letters picked without replacement from {i: 1, y: 2, k: 2, r: 1, h: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((42\/7)\/6)\/(3\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 699\/508 + 111\/127. Factor u**2 + 1\/2 - j*u.\nAnswer: (u - 2)*(4*u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-8 - (0 - -1) - 5)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (810 - 798) + (-39 - 0)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -9. Let a = 19 - l. What is the remainder when 34 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001858154783 to seven dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a. Let f be z(-4). Let k(d) = -d**2 - 8*d + 2. Let p be k(f). Suppose p = -2*o + 84. List the prime factors of o.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 18*l**2 - 139*l + 768. Determine i(5).\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/11 (b) -4 (c) -5 (d) 5 (e) 13347\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - g + 10)*(3 - 7 - 17).\nAnswer: 21*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27 - 1a?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 5*h + 134, 2*c = -4*h + 27 + 77. Let x = 106 - c. Suppose -3*g = -3, 3*g = -2*f - g + x. What is the greatest common divisor of f and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 169 - 284060\/1680 - 757\/(-12)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -9*z. Let s(a) be the first derivative of 3*a**4\/4 - 194*a + 193. Let y(n) be the first derivative of s(n). Calculate k(y(b)).\nAnswer: -81*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4164*t**2 + 6*t**3 - 33*t**3 - t + t - 4157*t**2.\nAnswer: -27*t**3 + 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o**4 - 160480*o**3 + 2*o**2 + 2444177*o wrt o.\nAnswer: -36*o**2 - 962880*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-98)\/(-21))\/(604\/(-2718))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/815304 and -97\/2024.\nAnswer: 8968344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + i**2 + i - 2. What is the units digit of h(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 3*t + 45, -18*t = 4*k - 14*t - 20. Solve -2*y - 2*l = l - 5, -3*y = 5*l - k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5800)\/(-520) + ((-152)\/(-114))\/((-52)\/6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20564?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6645, 13290, 19935, 26580, 33225?\n\"Answer: 6645*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c = -3. Let a be (-3)\/3 + (210998 - c). Round a to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 9*c**4\/4 - 55*c**3\/9 + 29*c**2\/6 - c\/3 - 140. Let o(v) = 0. Calculate v.\nAnswer: 1\/27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-36)\/(-228)*(32\/(-6))\/(-8). Find u, given that -r*u**2 + 192\/19*u - 4608\/19 = 0.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-18)\/20*16\/24. Factor 0 - 2\/5*w**3 - h*w**2 - 8\/5*w.\nAnswer: -2*w*(w + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 x, and 1 o when three letters picked without replacement from {y: 1, x: 1, n: 1, o: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - g**2 + 2*g**2)*(-5 + 19 - 29).\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -85*q**6\/2 + 344*q**3\/3 + 117. Find the third derivative of w(d) wrt d.\nAnswer: -15300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -249907*n**2*t - 3*n**2 - 39619*n wrt t.\nAnswer: -249907*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 487092.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**31\/j)\/j))\/j**15*(j**7\/j)**(-3\/34) assuming j is positive.\nAnswer: j**(-740\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1505596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50646 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -4*y + 68. Suppose 18*o - 82 = y*o. What are the prime factors of o?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 15 = -5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 + 8 + 10 - 27 + 9.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 245\/105 + (-4)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(4)\/sqrt(2)*2 + sqrt(2) - (sqrt(2) + sqrt(50)*5 + 0))**2 + 2 + 2.\nAnswer: 230*sqrt(2) + 1087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -256344, -256292, -256240, -256188, -256136?\nAnswer: -256084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2475*g + 2 - 1 + 2476*g. Let r(c) = 3*c + 6 - 1 - c. Determine -r(s) + 5*v(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrksrvsrovrf. What is prob of sequence srs?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3537892806 a multiple of 13906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -17*j**2 - j. Let d be t(-1). Let s be -6 - -3 - d\/6. Which is smaller: s or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(98)*-1)**2 + -5 + (-1*(sqrt(98) - (sqrt(98)*-1)**2) - ((2*(sqrt(98)*1 + sqrt(98)))**2 - sqrt(98))).\nAnswer: -1382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1.43. Let q = n - -0.42. Let t = -0.1425 - q. What is t rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l + 0*l - l)*(-1 + 5 - 3)*(28336 + 234*l - 28336 + (-5 + 2 + 2)*(-2 - 2*l + 2) + 1 + 2*l - 1) as f + i*l**2 + b*l and give i.\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15243162, 15243154, 15243140, 15243120, 15243094, 15243062?\n\"Answer: -3*f**2 + f + 15243164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 4*x - 6. Let z be d(5). Let w(r) = -5*r**3 - 1. Let g be w(z). Suppose -3*o = 3*c + 6, -o = o - 2*c - g. Solve -2*t + 0*t = o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35500, 141981, 319456, 567931, 887412, 1277905?\nAnswer: 1739416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**4 + 0*d**3 + 0*d**3)*(2 + 4 - 5) - 4*d**4 - 42*d**4 + 12*d**4 in the form c*d**2 + v + f*d**4 + k*d + a*d**3 and give f.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from mzmssmmmssmmssmsmmm.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29.073 - -0.073. Let y = 30 + t. Let h = 199 + -3581\/18. Is h at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((6\/(-4))\/((-9)\/(-4)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 370*f*x**3 + 488*f + 2 with respect to x.\nAnswer: 1110*f*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 8. Let v = 21 - x. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n - 36. Let k be w(-15). Let u(i) = i**3 - 9*i**2 + 6*i + 14. Is 19 a factor of u(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (7 + 23 + -12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 104781965, 209563928, 314345889, 419127848, 523909805, 628691760?\n\"Answer: -b**2 + 104781966*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: b\"What is the jth term of 165230, 330462, 495694, 660926, 826158, 991390?\n\"Answer: 165232*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, t: 2, g: 1, f: 1, d: 3}. Give prob of sequence gt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -750, -351, 2326, 8421, 19074?\n\"Answer: 190*x**3 - x**2 - 928*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69 - -149 - 91) + -8 + -1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(891) + 1)*-2)**2 + 0.\nAnswer: -72*sqrt(11) + 3568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(23*39\/(-897)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + -10)\/(-1 + 2\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29\/4 or 20?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378194 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 1, 693?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*l**2 + 13*l**2 - 10*l**3 + (-8 + 8 + 5*l)*(2 - 2 + l**2).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 6:34 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*t - 12*t + 4869 - 14*t - 4869.\nAnswer: 70*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10 + -16 + (-1 - -7). Let n(x) be the third derivative of 0 - 5*x**2 + 0*x**4 + 0*x**3 + p*x + 1\/20*x**5. Let j(r) = -r**2. What is j(n(y))?\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3*n**2 + 4*f**3*n + 85*f**2*n**3 - 11*f**2*n wrt n?\nAnswer: -4*f**3 + 510*f**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2384, 2382, 2378, 2372?\n\"Answer: -n**2 + n + 2384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-35))\/((-1)\/(-2)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -508 + 505. What is the smallest value in 5, -2, -15, u?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 713227425 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxat when four letters picked without replacement from {b: 1, a: 3, t: 1, i: 1, x: 2, w: 4}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w = 33*w - 420. Calculate the lowest common multiple of w and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 245, 484, 757, 1058, 1381, 1720?\nAnswer: 2069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26452, -26394, -26336, -26278, -26220, -26162?\nAnswer: -26104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 5:48 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 - 86. Let g be 5 + (-6)\/(-15) + -5 + v. Let k(p) = -p**3 - 7*p**2 + p - 4. Let z be k(-7). What is the third biggest value in 0.5, g, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 - 0.07. Let d = 258.95 + -258.5. What is the biggest value in 3\/7, x, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 34*g + 2. Let c(y) = 1242150*y. Calculate n(c(a)).\nAnswer: 42233100*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/387)\/((-14036)\/(-7656))?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.22 + 16. Let k = 0 - w. Let h = -0.2199999 + k. What is h rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.07358 centuries in years?\nAnswer: 107.358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 11*t - 7. Let g(h) = 81*h + 32. Give -g(r) - 5*x(r).\nAnswer: -136*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + b + 45 = 0, 5*b - b + 138 = 3*g. Suppose 4*j + 0*v + 2*v = g, 5*j - 45 = -4*v. Let c = j - -18. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2. Suppose 4*n = 4*v + 128, 5*n - 52 = 4*v + 106. Let h(c) = -60*c + 10 + 6 - 16 + n*c. What is h(i(q))?\nAnswer: -90*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by 64?\nAnswer: 21\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -983*s**2 + 983*s**2 - 71*s**4 + (-7 - 1 + 2)*(2*s**3 + s**3 - 4*s**3)*(0*s - 6*s + 2*s).\nAnswer: -95*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 7691343.14 to the nearest one hundred thousand.\nAnswer: 7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3727 - 4.08876155006.\nAnswer: -3.71606155006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**3 + c**3 - 3*c**3 + 16*c - 22*c**3 - 16*c + (-3*c + 0 + 0)*(c**2 + 5*c**2 - 4*c**2) to the form n + i*c**2 + a*c**3 + l*c and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 846002660 rounded to the nearest 1000000?\nAnswer: 846000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 10*d - 89. Let v be o(9). Let j(c) = -31*c + 27. Let p be j(v). Let t(a) = -3*a - 4. What is t(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/11 and -13\/176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 52\/9 (b) 1\/4 (c) -1 (d) -0.01 (e) 61 (f) -714\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -o + 6507, 4453 = 5*l - 2*o - 2063. Suppose -12*s + 9*s = -l. Let m = s - -123. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 29 + -30 + 0 + 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 73486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 3:31 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1124*z + 4. Let c be d(-1). What is the units digit of (-28450)\/(-22) - (13 - c\/88)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 44, -136, -504, -1114, -2020, -3276?\n\"Answer: -9*p**3 - 40*p**2 + 3*p + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145066, -1160697, -3917400, -9285709, -18136158, -31339281, -49765612, -74285685?\nAnswer: -105770034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -3\/14, 8.259?\nAnswer: 8.259","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = p - 24, p = -4*y + 7*y - 24. Differentiate 9*h - 2*h**2 - 9*h + 2*h + y*h**2 - 71 with respect to h.\nAnswer: 12*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 - 6*s + 7. Let v be f(2). Let 0 + 2\/5*t + 4\/5*t**2 + 2\/5*t**v = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9406678 <= -9406682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 13) in base 3?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 28. Suppose l - 24 - w = 0. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.41 - 0.09. Let s = d + 4. Suppose -3*v = k + 4*k - 5, 5*v = k - 1. Which is the closest to -2\/7? (a) k (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 13) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1955 + 1825 = -91*q + 301*q for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 2\/5, -123\/5, 4\/5, 0, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4108 = 3*p - 0*b + 5*b, -b = -4*p + 5462. Let x = -595 + p. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*q**3*s + 23*q**3*u**2 + 14*q**2*s - 11*q**2*u**2 - 4*s*u**2 wrt s.\nAnswer: 5*q**3 + 14*q**2 - 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**2 + 14*t. Let w(l) = 4*l**2. Determine w(c(q)).\nAnswer: 36*q**4 + 336*q**3 + 784*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97*i - 2 + 570*i + 299*i to m + n*i and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 9*x**2 - 5*x - 26. Does 3 divide l(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -42. Let c = o + 37. Suppose -3*x - 6 = 3*m, 2*m + 35 = c*x - 2*m. Solve 0 = -x*v + 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h - 4*h + 2*h**2 + 3*h + 2 + 0*h**2. Let b be (-1)\/(1 + (-4)\/3). Is p(b) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 7 (b) 0.4 (c) -1\/1118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -4 (b) 1\/2 (c) 1\/3 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.919 - -0.081. Suppose -2*f - 4*h + 0*h + 20 = 0, -3*h + 18 = 3*f. Put 1, n, f in increasing order.\nAnswer: 1, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 7*r + 5. Let l = -148 + 233. Let v = -78 + l. Determine i(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*x - 41419 = -1104*x - 641*x + 42025 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3)*(-135)\/(-30). Calculate the highest common divisor of 24 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 198 = 6*q. Calculate the remainder when 85 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from vniivkx.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25736 is divided by 144.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 52932071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7d5 + 1?\nAnswer: 7d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7802 and 376?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -524065*x**2 + 2959183*x**2 + 958292*x**2.\nAnswer: 3393410*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2827*c + 180 = -2737*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*j - 21 = t, -2*t + j + 53 = 0. Suppose 1790 = -t*x + 31*x. What are the prime factors of x?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6303.\nAnswer: 3, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6878 by -61.\nAnswer: 6878\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 5, 2\/7.\nAnswer: -12, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -774 - -0.3\nAnswer: -773.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 3)*(3 + 104*o**3 - 106*o**3 + 3).\nAnswer: 2*o**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 6:28 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 35209606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*r + 9 = 0. Let x(u) = u**3 - 7*u**2 - 6. Let z(w) = -16*w**3 + 117*w**2 - w + 98. Let m(g) = 33*x(g) + 2*z(g). Calculate m(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d**0*d)*d))\/(d\/(d*d**(-2\/3))))\/((d\/(d\/(d*d\/(d*d\/(d\/(d*d\/d**6*d*d)*d))*d)))\/d**0) assuming d is positive.\nAnswer: d**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15495547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k - 3 + 3)*(0*k**3 + 2*k**3 - k**3) - 4*k**4 - 4*k**4 + 2*k**4 + 0*k**3 + k**4 + 0*k**3 to the form l*k**2 + h*k**4 + u + n*k**3 + i*k and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 4. Let u(q) = 2*q - 4. Suppose 0 = 4*i + 20, 4*v = 5*i - 15. Let j = 15 + v. Let d(w) = j*u(w) + 4*o(w). Differentiate d(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-2)\/6) + 12. Suppose 3*o - 39 = y. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -24.822, 32.8, -3\/5.\nAnswer: -24.822, -3\/5, 4, 32.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*b**5 + 6*b**3*q**2 + 2*b**3 + 2*b*q**2 - 4*b wrt b?\nAnswer: -420*b**3 + 36*b*q**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 291073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 108951 and -1.\nAnswer: -108951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - 140174?\nAnswer: -140188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -6*o**3 + 2*o**2 - 2*o + 2. Let u(v) = -18*v**3 + 7*v**2 - 7*v + 7. Let a be 14*-1*(0 + 1). What is a*p(c) + 4*u(c)?\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {v: 2, y: 9}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 550832.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 260\/(-7995)*-41*(23\/(-2) - -1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v + 23. Let i be w(7). Let k = 8 + -5. Put k, 0.4, i in ascending order.\nAnswer: i, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1248*l**2 + 7*l - 3436. Let s(v) = 1259*v**2 - 6*v + 3435. Let n(t) = 6*a(t) + 7*s(t). Find the first derivative of n(o) wrt o.\nAnswer: 2650*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 24076*u + 41974290.\nAnswer: 2*(u + 2115)*(u + 9923)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 15. Suppose 0 = 3*h - g - 16, -3*h + 27 + 5 = -y*g. Suppose 43 = h*t - 61. Calculate the remainder when t is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 + -2.9. Let z = r - -14.4. Let d be 1 + (5 + 9)\/(-7). Which is smaller: z or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2155 is divided by 70.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 7 = -t, 10*t - 53 = 24*d + 15*t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 1:33 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6191, -6190, -6189?\n\"Answer: a - 6192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2548.0032 - 2550. Let q = -3 - -5. Let u = q + t. Round u to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2170 = -5*s. Let z = -113 + s. Let i be (-16)\/z + (-457)\/(-13). Solve 0 = n + 4*n + 25, 0 = 5*k + 4*n + i for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 744, 1486, 2228, 2970?\nAnswer: 3712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -608148, -1216255, -1824362, -2432469?\n\"Answer: -608107*k - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 15. Let a be q(12). Let i(o) be the first derivative of 0*o**2 + 2\/3*o**a + 3 + 0*o. Factor i(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 1235?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -224, -440, -654, -866, -1076, -1284?\n\"Answer: t**2 - 219*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 3877a55?\nAnswer: 3877a59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*h + 4. Sort h, -1, 0 in descending order.\nAnswer: 0, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-66225892)\/(-2190) - (0 - (-2)\/15) a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 77*s + 50020. What are the prime factors of s?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 225487*s + 3*s**3 + 225468*s.\nAnswer: s**3 - 19*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/18019 and -41\/13527399.\nAnswer: 500513763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 2*v**2 + 1 + 0*v**2. Let w(o) = -2*o + 0*o**3 - o**2 + 3*o**2 - o**3 + o**2. Let f be w(1). What is z(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 2 - 28 = 54*x + 75 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -65*k - 101063 - 17757. Let s = 3399 + k. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2265429 divided by 4.\nAnswer: 2265429\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxyvrrhryyuyrururh. Give prob of picking 2 u and 1 h.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**4\/10 + 272*u**3\/15 - 4189*u**2\/5 - 60492*u\/5 + 2278. Let g(y) = 0. Calculate y.\nAnswer: -6, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*2*(-164)\/16. Let b = 47 + o. What is the greatest common divisor of 30 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1733.324mm?\nAnswer: 173.3324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/(-483)*(-51282)\/528.\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 74 + 0 + (2 + 4 - 4)*(-3 + 2 - 1) + 2 + 0 + 0)*(-2*x - 1 + 1 + x - 4*x + 5*x + (0*x - 3*x + x)*(1 - 2 + 0) - 2*x - 5*x + 4*x)*(x**2 - x + x).\nAnswer: 64*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 17*q**2 + 30*q + 36. Suppose 0 = -4*v + 5*c - 30 - 15, 0 = 3*v - 4*c + 33. Let r be d(v). Calculate the greatest common factor of r and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452*x + 592*x = -700 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-13)\/((h*h**(-3\/8))\/h))**(-4\/29) assuming h is positive.\nAnswer: h**(101\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*z - 102*z - 53*z in the form i*z + l and give i.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -459*r + 218 wrt r?\nAnswer: -459","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 543 and -242594.\nAnswer: -131728542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*v - 4 = -18, 0 = 2*h + 3*v + 7. Let q be -3 - (0 - h - -2). Let m = 0 - q. Calculate the highest common factor of 10 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 7 = -4. Solve f = -q*f - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -135*q. Let k(p) = 16122*p. What is k(x(n))?\nAnswer: -2176470*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 13*a + 5. Let x(i) = i - 1. Let v(q) = 2. Let n(r) = -v(r) - x(r). Let s be 70\/((-28)\/(-2)) - ((-210)\/(-7))\/5. Give s*c(d) - 5*n(d).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12562697996.1 take away -22?\nAnswer: -12562697974.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.7 - -4.9. Which is the smallest value? (a) -0.6 (b) v (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 730817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4223 - 5?\nAnswer: -4230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2826396 divided by -18\nAnswer: 157022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjjy when four letters picked without replacement from yyyyyjyyjy?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-114))\/(970\/199044*-27).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -4, 41, -3, -2 in decreasing order.\nAnswer: 41, 16, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 6. Suppose -2*t = -2*j + 14, j - 2*t = 3*j + 6. Let g be (-5)\/18 - j\/(-4). Which is the closest to w? (a) 5 (b) 3\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -16. Suppose -4*f - 5 = -13. Let h be (-1)\/f + 125\/(-30) - -4. What is the second smallest value in v, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/15)*n*n**(1\/5))\/(n\/(n\/n**(-3)*n))**(-49) assuming n is positive.\nAnswer: n**(-2923\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 32*v + 9*v - 16*v - 11*v - 12*v. Let b(s) = -11*s**2 - 11*s**2 - 7*s**2. Calculate b(c(f)).\nAnswer: -116*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.581694 months in centuries?\nAnswer: 0.012984745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-184)\/(-18))\/((-536)\/(-417276)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*o - 0*o, 3*o = -s - 3. Suppose 720 = s*i - 438. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -30*t - 46. Sort -24\/7, t, 2, -0.5 in decreasing order.\nAnswer: 2, -0.5, t, -24\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 5*c + 8, 0 = -5*j - 58*c + 62*c + 9. Let r = 0 + -1. Sort -3, r, j.\nAnswer: -3, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*((-1 + sqrt(891))*3 + 5 + sqrt(891) + sqrt(891) + -1))**2.\nAnswer: 1800*sqrt(11) + 556891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 6548087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(117))*-2 - (((sqrt(117) + sqrt(117)*2)\/sqrt(9))**2 - sqrt(13))*1) + 1 + -3.\nAnswer: -115 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102371 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/3)\/((-10)\/(-15)). Solve o**4 + 3*o - 4*o + 3 + o**3 - n - 3*o**2 = 0 for o.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66690*a - 66706*a = 11*x - 156, 3*a = 21 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -5. Let k(z) = z**3 - z. Let v(b) = b**4 - 6*b**3 - b**2 + 6*b. Let j(r) = i*v(r) + 28*k(r). Suppose j(m) = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in -1\/2, -3, -5, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531 + 211 = 20*l for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 m when two letters picked without replacement from jmrft.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3994937?\nAnswer: 3994937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14727 and 85.\nAnswer: 1251795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 - (-2 + (2 - -3)). Let f(m) = h + 0 - 4 + 5*m. Let j(w) = -w**2. Determine f(j(c)).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 984.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1262 is divided by 419.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 12:24 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 314.6 and -0.1?\nAnswer: 314.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3\/7 + 220*a**2\/7 - 964*a\/7 - 1180\/7.\nAnswer: 4*(a - 5)*(a + 1)*(a + 59)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-10)\/120*(-12)\/(-3))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.3 - 0.7. Let s = 0.3 + -0.4. Let p = -26 - -25. What is the nearest to s in -0.3, p, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.15 + -11.85. Let f = y + 13. What is the third smallest value in 0.4, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o**(-7)*o)\/o*o)**(16\/11)\/(((o*o*o**(4\/13))\/o)\/o**(2\/49)))**(23\/2) assuming o is positive.\nAnswer: o**(-1376251\/14014)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 - (-1 - (0 + 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 - 253*o - 2734. Let j be k(-11). Solve j*q + 32 = 408*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -17*w**2. Let o(v) be the third derivative of v**8\/20160 + v**5\/12 - 12*v**2. Let t(h) be the third derivative of o(h). Give n(t(m)).\nAnswer: -17*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/4 (b) -0.3 (c) 5 (d) -0.5 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -26*r**5\/21 + 1166*r**4\/21 + 23476*r**3\/21 - 45352*r**2\/3 - 700112*r\/3 - 106624\/3 = 0. Calculate r.\nAnswer: -14, -2\/13, 17, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1721781236?\nAnswer: 2, 7, 37, 331, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b8 (base 13) in base 7?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*l + 10 = l, 4*c = 5*l - 10. Let v(i) = i**2 + 3*i + 3. Let a be v(c). Solve -z - 1 = a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1618975549 to the power of 1\/2, to the nearest integer?\nAnswer: 40236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 16025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6993737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350 > 1348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - f - 40 = 4*s, -4*s = 20. Suppose -6*m + 2*n - 1 = -5*m, -5*n + 7 = -m. Solve 6*p - 2*p + d - 7 = 0, d - f = -m*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45478747?\nAnswer: 643, 70729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 177662.685 rounded to the nearest 100?\nAnswer: 177700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -40*j + 67. Sort j, -6, -3 in decreasing order.\nAnswer: j, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13588 = 18*i - 13498 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 2:15 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1168, 1173, 1174, 1165, 1140?\nAnswer: 1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 3*p - 120254, 8*p + 120242 = 4*z + 5*p. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1463360 divided by 1360?\nAnswer: -1076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 1942 = 33*l + l + 288 for l.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60 + 94. Suppose 0 = o - 24 + 5. Calculate the remainder when (-2697)\/(-51) + ((-16)\/j)\/(-4) is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1870 is divided by 716.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.231858699 to four dps.\nAnswer: 0.2319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/3)*d*d**(4\/5))**38*((d**(-1\/2)*d)\/(d**(-4\/9)*d*d*d))**(5\/7) assuming d is positive.\nAnswer: d**(82067\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (49\/14)\/(1\/2). Solve -1 - w = -4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87362892*l**2 - 1927037*l wrt l?\nAnswer: 174725784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18786\/808*2\/(-3)*-16. Suppose -2*p = -5*u - 535, -4*u = p - 0*u - k. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.35 - 0.65. What is the nearest to 1 in 4, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - (-1 - (-4 - -3)). Let j(m) = m**3 + 6*m**2 - 3*m - 11. List the prime factors of j(c).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 315, 11, 14, -4, 2.\nAnswer: -4, -3, 2, 6, 11, 14, 315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -554, 7, -8.\nAnswer: -554, -8, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3 (b) -1 (c) -6\/341 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from aancammsnmm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 884*o**2*r*v - 56457*o**2*v - 9*o*r*v wrt r.\nAnswer: 884*o**2*v - 9*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -26.89. Let o = -0.21 - j. Which is the third biggest value? (a) o (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000196692 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5755.8 and -17724.8118.\nAnswer: -11969.0118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/7*(-217)\/(-155).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w - 2*w + 3*w)*(w + 4*w - 3*w) + (-2*w + 7*w - 3*w + (0 + 2 - 1)*(2*w + 2 - 2))*(-w - 1 + 1) to the form t + l*w + j*w**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3664 + 4245. Calculate the lowest common multiple of t and 6.\nAnswer: 3486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 297963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 less than or equal to -1823\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-5) - 126\/(-15). Let h be ((-48)\/b - -2) + 4. Suppose -2*v = -6*v. Is v at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**3 + 14*w**2 + 8. Let n(s) = 6*s**2 + 6*s + 2. Let d(z) = z**3 + 13*z**2 + 10*z + 5. Let k(m) = -3*d(m) + 5*n(m). Give 8*k(x) + 5*y(x).\nAnswer: -4*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1757 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 + 4 = 0. Suppose -t*h + 18 + 0 = 0. Factor -3\/2*f**h - 6*f**4 - 7\/2*f**5 + 0*f + f**2 + 0.\nAnswer: -f**2*(f + 1)**2*(7*f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13502, -13482, -13452, -13412, -13362, -13302?\n\"Answer: 5*d**2 + 5*d - 13512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -4, -8, -3\/4, -0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + 10 + -20 - 7.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -4*m**7\/7 - 71*m**6\/6 - 150*m**3 + 1513. What is the third derivative of l(h) wrt h?\nAnswer: -480*h**3 - 4260*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*n - 1095*n + 175*n = 249*n + 22496 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2514*x**3 + 1014*x**3 + 819*x**3.\nAnswer: 4347*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7362640 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.414 and 2530969.\nAnswer: -1047821.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, j: 1, m: 2, a: 6, h: 2}. Give prob of picking 2 m.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -8\/489 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -132 and 0.3.\nAnswer: -39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -14*q. Let l be k(-1). Does 14 divide 96\/7 + 4\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 7268220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**24\/((f\/(f\/(f**16\/f)))\/f))**(2\/9) assuming f is positive.\nAnswer: f**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100001 + 1011110010111110?\nAnswer: 1011101100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(((-3)\/(-3) + -3)\/(-2)). Suppose 3*y = -5*x + 5 + 7, 4*y - 5*x - 16 = i. What is the third smallest value in 2\/9, y, 6, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.4 and -936069026.\nAnswer: -936069028.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 1065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-5\/2)*m\/((m*(m*m**(-6\/11)*m)\/m)\/m))**(2\/73))**(-2\/21) assuming m is positive.\nAnswer: m**(86\/16863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 + -1. Let h = -1326 - -1327. Which is the closest to h? (a) m (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7700 a factor of 4071606000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from zuuuuzzliizzi.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/56*7 - (-354)\/(-87)) + 6\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2793388 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-2 - -1))*33\/1287.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*u + 35 = 0, -7*x - 3*u = -11*x. Calculate the highest common divisor of x and 261.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + c - 1 - 16, -a + 3*c + 13 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*l + 766*l + 78007 = 158*l + 29112 for l.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1170, 2345, 3468, 4515, 5462, 6285?\nAnswer: 6960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -22 - (1033 - 960) - (-11 + 0)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2870)\/25)\/7)\/(-59*76\/(-11210)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5447858 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 712191089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 - -74.63. Let m = a - 4.33. Let n = 3.6999885 + m. What is n rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-1)\/(-27)*-1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/4 + 8\/(-32) - -845. Let g be 38\/10 - 17\/h*-10. Solve -4*f - 2*l + 6*l + 28 = 0, 2*f - g*l = 18 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**3 - 6*i**3 + 22*i**3.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + t + 1, 5*p - 4 = -199*t + 203*t. Suppose 2*l + 22 = 6*l + 5*c, 5 = -l + 4*c. Solve n + 5*m + 5 = p, 4*n - l*m + 20 = 2*m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 2*a - 94. Let j be f(-20). Calculate the greatest common factor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w*y**3 - w*y - 84*y**5 + 2*y - 88 wrt y?\nAnswer: 6*w*y - 1680*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4559*u + 17695. Calculate q(4).\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 54949*i + 604616. Determine m(11).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 + 1749*j**3 - 8762*j**2 + 14028*j - 7016.\nAnswer: (j - 2)**2*(j - 1)*(j + 1754)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10061492*j**2*r**3 - 2345*j**2*r + 14*j**2 + 3*r**2 + 8 wrt r?\nAnswer: -60368952*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2 + 10 = -4*p, 3*z = 2*p + 4. Solve 20 = 3*c + 5*m, 5*c - 5*m = 20 - z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hcb when three letters picked without replacement from {d: 1, j: 1, b: 1, x: 3, c: 2, h: 4}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -39, -1, -18, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 845\/12828?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 84*s**2 - 86*s + 372. Is 4 a factor of n(85)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by 1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a504b (base 12) to base 6.\nAnswer: -115144135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - (-13 - 14)) + -4 + 3 + -2 + -52.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398*h**3 + 338*h**3 + 303*h**3.\nAnswer: 1039*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 333 = -h + 334, 5*z = 4*h - 21 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(77)*5 - sqrt(77)) + sqrt(77))\/(-1*sqrt(704)).\nAnswer: 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + 0)\/((-3)\/(-5)). Suppose 6 = -4*r - 5*s, r + 2 + j = -4*s. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdxbtzkd. Give prob of sequence ztkd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1942, -5, 1\/7, 3\/4 in decreasing order.\nAnswer: 3\/4, 1\/7, -5, -9, -1942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5824 = -8262*c + 8678*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, v: 1, k: 2, d: 1, s: 1}. Give prob of sequence ak.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1503609 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 43307 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154578.4 years to decades.\nAnswer: 15457.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 31 = t. Let a = t - -19. Let s = -7 - a. Calculate the highest common divisor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -54*(6\/(-4))\/1. Suppose 4*g = 23 + q. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 15*k. Give q(10).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11a (base 11) to base 10.\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -0.3, -4, -8, -121 in ascending order.\nAnswer: -121, -8, -5, -4, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.26, 1.2, -62, -0.03 in descending order.\nAnswer: 1.2, -0.03, -0.26, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 8:49 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*sqrt(22)\/(sqrt(110)\/sqrt(490)))**2.\nAnswer: 84*sqrt(2) + 886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.136 - 3.864. Which is the closest to 2\/21? (a) i (b) -1\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.39 + 0.79. What is the smallest value in -8, f, -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-1*2 - -28). Let p be 2\/(-9) + (-2112)\/a. Suppose 0 = 4*z - z - p. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0212 + 1437797046.\nAnswer: 1437797046.0212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 99*p - 94*p - 100. Let i(k) = 6*k**2 - k. Let o be i(1). Suppose -270 = -o*m + 120. What is the remainder when m is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in -0.3, -3\/7, 1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2049 + 2505. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 22 = 2*c, 49 - 25 = 5*t - 4*c. Suppose 4*r = 7*r. Solve r*a = a + t for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*w - 25, 5*w = 4*h - 56 + 19. Suppose h = 4*q + 1. Find the third derivative of -q*k**6 - 4*k**6 + 4*k - 4*k + 2*k**2 wrt k.\nAnswer: -840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p - 100. Let r be y(16). Which is the biggest value? (a) 1 (b) -0.3 (c) r (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 2*s + 5*s + (-1 - 1 + 4)*(3 - 3 + s))*(-s**4 - 3*s**4 - 3*s**4).\nAnswer: -21*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1)**9\/((t*t**3*t)\/(t**(-2\/15)*t)))**(-1\/28) assuming t is positive.\nAnswer: t**(-73\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g = 1051*g + 113526 for g.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5880 + -5802. Suppose -4*n = -9*n + 1950. Calculate the greatest common divisor of y and n.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2 - 6*l + 2 - l**2 + 2*l**2. Let a = 10 - 1. Is n(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -400778 - -277318. What is b rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhlvvvhxvxfx. What is prob of sequence hx?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -94*g + 3401. What is k(36)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6254.\nAnswer: 2, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10608083?\nAnswer: 23, 61, 7561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -134*f**3*n*x + f**3*n + 3*f**3*x + 3*f**3 + 44*f*x + n*x wrt n.\nAnswer: -134*f**3*x + f**3 + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3516366.\nAnswer: 2, 3, 7, 29, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 945872712 by -6.\nAnswer: -157645452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 5*m**2 + 4*m - 5. Let q be (-14)\/(-49) - (-52)\/14. Let d be b(q). Let h = d + 5. Solve h = -3*c - 2*o + 12, -o - 3 = c - 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 8, 11, 12, 11, 8, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5525, -6833, -8141, -9449, -10757?\n\"Answer: -1308*u - 4217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**4\/6 + w**3\/6 + 11*w**2\/2 + 8*w. Is u(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjg when three letters picked without replacement from wrrjgrgggij?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 616.9 + -617. What is the closest to d in 0, -2\/7, 4, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 10 = -3*l, 6*k = 2*k - 4. Factor -3*p**3 + 3*p**l + 3*p**5 - 2*p**3 - 3*p**2 + 2*p**3.\nAnswer: 3*p**2*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4202100923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3 + (-35)\/15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5556 * 507.8\nAnswer: 2821336.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006921092109 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -12.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.9793376 to two dps.\nAnswer: 14.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*2\/(-1)*((-100264)\/(-16) + 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/6 and -25\/141.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (16\/(-20))\/(2\/(-5)). Suppose -2*m + 39 = 3*p - 4*m, v*p + 2*m - 81 = 0. What is the lowest common multiple of p and 21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -177*r - 15. Determine q(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -26, 30, 120, 250, 426?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 45. Suppose 5*z = -3*k + 147, -4*z = -k - 7*z + n. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u. Let z(r) = r - 1. Let a(b) = -56*b + 7. Let c(m) = a(m) + 5*z(m). Give d(c(f)).\nAnswer: -102*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8381 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l + 220. Let s be u(-25). Let j(w) = -2*w**2 - 8*w + 31. Let i be j(s). Which is bigger: 230\/11 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18, -31, -44, -57?\n\"Answer: -13*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -27\/5, -0.7, 4\/5, -2\/5 in decreasing order.\nAnswer: 4\/5, 1\/3, -2\/5, -0.7, -27\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/5)*v**(-7)*v**(-2\/9)*v**0*v assuming v is positive.\nAnswer: v**(-289\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*k + 8*k. Find the second derivative of j + 0*j - 476*j**2 + 479*j**k wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 + 30*x + 64. Calculate l(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 6*s**2 + 0*s**3 - 5 - 3*s + s. Suppose t + 2*l + 2 = 0, 0*l = l + 4. Let j be o(t). Round j to 0 dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 11*d + 12. Suppose -5*x - 7 = 4*r - 35, 3*r - 40 = x. Let y be p(r). Factor 0*c + y*c**2 + 0 + 0*c**3 + 6\/5*c**5 + 3\/5*c**4.\nAnswer: 3*c**4*(2*c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110001011011000010 - 100?\nAnswer: 10110001011010111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d**5\/7 + 36117*d**4\/7 - 95217*d**3 + 2448837*d**2\/7 - 2574555*d\/7 + 108018 = 0. Calculate d.\nAnswer: 1\/2, 1, 3, 14, 6001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 70017 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-128)\/(-1536))\/(1\/516)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1857, -6895, -15111, -26505, -41077, -58827, -79755?\nAnswer: -103861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 538*y + 2800*y + 729147 - 380*y.\nAnswer: 3*(y + 493)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1694) - 1*sqrt(1694)) + sqrt(126)*-2)\/(sqrt(242)*1*3 + sqrt(242) + sqrt(242)).\nAnswer: 18*sqrt(7)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 21 = -5*o, -3*t = o + 9 - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 922.\nAnswer: 2766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 12, 1\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3415 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*sqrt(3520)*-5)\/(((sqrt(55) + sqrt(880))*5 - sqrt(55))\/(2*sqrt(125))).\nAnswer: 250*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5653 = 174*h - 83*h + 193. What is the fourth biggest value in 1.4, -2, h, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20364*d**2 - 20330*d**2 - 20369*d**2 + 61067*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.73 - 0.07. Let u = 4.22 - 2.02. Let p = m + u. What is the second smallest value in -4, p, 5, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 237 and ((-1)\/3)\/((-3)\/(-7584)*-4)*6.\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 280917, 280942, 280965, 280986, 281005, 281022, 281037?\n\"Answer: -u**2 + 28*u + 280890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 12*h. Let a be 40*((-15)\/(-4) - 12\/(-16)). Let o(p) = a*p - 59*p - 60*p - 63*p. Calculate o(y(c)).\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from {f: 7, p: 4, t: 1, z: 2, d: 2}.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 8*r - 11. Let b be -2*(-1)\/(3 - 28\/12). Let c be t(b). Let y be -3 + 12\/c + 5. Solve 4*n = -n + y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((-4)\/(16\/(-4))). Suppose -l*y - h + 1822 = 0, 3*h = -5*y - 2*h + 3020. Suppose -y = -2*u - j, -4*u + 946 = -u - 5*j. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**5 + 404*z**4\/3 - 4724*z**3\/3 + 7028*z**2 - 21472*z\/3 - 9680\/3 = 0.\nAnswer: -1\/3, 2, 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 2*b + 1. Let w = 733 - 355. Suppose -w*s + 11 = -389*s. Calculate f(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/231 + -1 + (-61)\/(-42)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02777 - 0.67223. Sort -4\/3, 2, 0.4, f.\nAnswer: -4\/3, f, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35389 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: Does 0 = 20\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31570877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30461?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s + 3. Let b be u(0). Find the first derivative of -37 + 17 + 24 - b*p wrt p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 279080.5 tonnes to micrograms.\nAnswer: 279080500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 - -1.99. Let z = 9.3 + -9. What is the third biggest value in z, 0.4, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -152, 2\/3, -2, 13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 367 - 366.658. Round t to two decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -396180 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -53\/2. What is the second smallest value in z, -0.3, 2.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 237 = 42. Let l = -24 + d. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20434 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5079 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 2\/969, 4, -2.2, 2\/5, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 261.6 + -262.1. What is the nearest to -1\/2 in 2\/3, -1\/3, u, 4\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -276396, -1105583, -2487570, -4422363, -6909968, -9950391?\n\"Answer: -g**3 - 276394*g**2 + 2*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -u - t, -2*t = u - 6*t - 21. Solve -6 = -3*j, 2*j + u = 5*a - 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.049 + -0.151. Is x equal to -1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 717, 782, 893, 1050, 1253, 1502, 1797?\nAnswer: 2138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.58 and 24?\nAnswer: 23.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*(-2)\/280)\/(3\/(-15)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-34))\/(4182\/521356)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 5*z - 373, 4*r + 3*z - 363 = 173. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72926347 is divided by 3982?\nAnswer: 3981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -351, -702, -1081, -1422, -1659, -1726, -1557?\nAnswer: -1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + u**2 + u + 8. Suppose 0 = 3*z - 8*z. Let m = 10 - 5. What is the remainder when s(z) is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7088 - 3912. Suppose -12*p + z = -4*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2, 3, 2 in descending order.\nAnswer: 3, 2, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*p + 12957 = 88*p. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 173961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000000011010 + 10010010101?\nAnswer: 100010010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**4\/24 - 4*i**3 - 273*i**2. Give k(19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - n**2 - n + 4. List the prime factors of o(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000327143921 to 7 decimal places.\nAnswer: -0.0000327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129707732 by 842258.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9243*h - 12657*h - 655371 = 699*h for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f = 36*f - 270. Solve -f*y = -2*v + 9, 0*v + 12 = v - 5*y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(3*4\/60). Let p be (5\/2)\/((-3)\/12). What is the lowest common multiple of 12\/g*25\/p and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7579*r**2 - 35*r - 74. Let q be a(17). Round q to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ehheeeeeeeeeeheheee?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 7*h**2 - 8*h**2 + 3*h**2.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 164 divided by 8\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8 from 1.633.\nAnswer: -6.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 q when two letters picked without replacement from {t: 1, q: 2, a: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**5\/20 - 5*i**4\/12 - 2*i**3\/3 + i**2\/2 - 3*i. Give v(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*k**2 + 3*k + 322 - 3*k**2 - 84*k**4 - 515 wrt k?\nAnswer: -336*k**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8392*k**3*m**3 + 26*k**3*m**2 + 2*k**3*m - 7656022*k**3 wrt m.\nAnswer: -50352*k**3*m + 52*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - j - 6. Let u(v) = -v**3 + v**2 + v. Let z(f) = -q(f) - u(f). Let r be z(0). Let b = 1 + r. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -129952 - -4?\nAnswer: -129949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)\/t)**(-38) assuming t is positive.\nAnswer: t**190","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -241468\/9 or -26831?\nAnswer: -241468\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 9*k + 75 = 0. Let b be (-4)\/k - (-1624948)\/(-65). What is b rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*g - 8 = 3*g, 4*g + 6 = -s. Let q be 450\/126 + (-6)\/s. Sort -6, q, 0.3 in descending order.\nAnswer: q, 0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67 + -29. Suppose -p = -4*m + 85, 0*p - 4*p = 2*m - y. Suppose -37 = -5*l - 3*v, 2*l + 3*v - m = -l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/5))**7\/(h\/(h**4*h)*h**(3\/14)*h))**21 assuming h is positive.\nAnswer: h**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4.5 * -0.1967\nAnswer: 0.88515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-nine quarters of a century?\nAnswer: 17700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i - 2. Let v be u(2). Let k be 12\/7 + v\/14. Suppose -4*s + 22 = 5*f, 4*f = k*f + 4. Calculate the least common multiple of 5 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-3 - -7 - (7 - 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (5159 + -1)*9\/234*13 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37073.18 years in centuries?\nAnswer: 370.7318","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1640519?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 2*i + 9, 6 = 2*y + 2*i - 4*i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (156\/(-15))\/((-2)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = z + 2*r, -r + 15 = -4*r. Let p = z + -1. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -464264 + -4?\nAnswer: -464301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 5:18 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -18. Suppose -4 = -j - t. Is (-2)\/j + 1\/(-2) + 30 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 2*l - 2*l)*(191*l**3 - 76*l**3 + 413*l**3).\nAnswer: -528*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2172 divided by -2.\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 2006135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 - 815\/12. Let r = 77.38 - 77.78. What is the second smallest value in u, r, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(117) + -1)*1 - (0 + ((1 + sqrt(1300))**2 - sqrt(1300)))).\nAnswer: 35*sqrt(13) + 6510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -238d?\nAnswer: -2390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519530754?\nAnswer: 2, 3, 59, 547, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 7*n**6\/120 + n**5\/10 - n**4\/4 + n**3\/3 - 5*n**2. Let c(m) = -m**3 - m**2 + m. Determine 6*c(w) + x(w).\nAnswer: w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5\/4, 0.5, -1\/4, 138, 0.25, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**14\/(l\/(l*l**(-24)*l)) assuming l is positive.\nAnswer: l**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 484 - 206*y - 247 - 61*y - 237.\nAnswer: -267*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 8:55 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9831764\/132 + (-10)\/165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*l + 6760 = 23*l - 75*l for l.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = t, -114*m + 238*m - 120*m + 5*t - 25 = 51 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 480.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176148.\nAnswer: 2, 3, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4558742, -4558740, -4558738, -4558736?\n\"Answer: 2*o - 4558744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3603*x - 7285*x + 3635*x + 11 to the form r*x + g and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -4, -5676, -7\/6 in descending order.\nAnswer: -0.2, -7\/6, -4, -5676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 396 and 14036.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.8 and -68?\nAnswer: -122.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -343, -1381, -3111, -5533, -8647, -12453?\nAnswer: -16951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d. Suppose -3 = 5*a - 18. Let q(n) = -a*n**2 - 2*n + n + n. Determine q(z(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c + 3. Let s be j(-2). Let a(m) = -m**3 - 2*m**2 + m - 2. Calculate a(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -3\/7 (b) -1 (c) 2\/3 (d) 22808\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 3)*(2*s + 2*s - 2*s)*(2 + 21 - 7) as k + o*s and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(756) + sqrt(21)))\/(sqrt(63)*5 - sqrt(7)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 0*y**2 - 11\/21*y**7 + 0 + 0*y**5 + 0*y**4 - 6*y - 7\/6*y**3 + 0*y**6. What is the second derivative of o(s) wrt s?\nAnswer: -440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12980.\nAnswer: 2, 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*a + m - 3, 0 = 5*m - 10. Is 18 a factor of a\/44*-4 + (-5020)\/(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-234)\/143)\/((-648)\/2376)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 9) in base 8?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(12)*-6)\/(-6*sqrt(484)))**2.\nAnswer: 12\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (69\/(-30))\/(2\/(-6)) and ((-5)\/(-18))\/((-7)\/56)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1131 and 27231.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -7, -45 in increasing order.\nAnswer: -45, -7, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (336\/(-35))\/(-16) + 54\/10. Solve 0 = d*w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166 = 116*k - 128*k - 2*x, 3*x - 15 = 0 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*i + 48 = -287*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 25*c - 169. Let z be w(-9). Let l(p) = 23*p**3. Let o be l(-1). Let s = o - z. Solve -25 = s*n + 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1100\/(-1650)*3\/(-11).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2\/5 + 16386*j\/5 - 18040016\/5 = 0 for j.\nAnswer: -9176, 983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7044*k = 6955*k - 712 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237, 421, 595, 753, 889, 997?\nAnswer: 1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 94201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -206 + 145.6. Let l = w + 62. Let o = l + -1.8. Which is the closest to 1\/6? (a) -5 (b) o (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**2 - 15*q. Suppose -4*x + 4*m + 64 = 0, 2*m = -3*x - 0*m + 43. Let s(w) = -w. Let u(g) = x*s(g) - v(g). Let r(f) = 7*f**2. Give r(u(i)).\nAnswer: 63*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f. Let w be (-79)\/(-3) + 1\/(-3). Let u be 2\/13 - (-48)\/w. Let x(t) = t**2 + 3*t**u - 5*t**2. What is h(x(s))?\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**3 - 4*a**2 - 7*a + 2. Calculate g(-3).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*p = -3*t + 6, -4*t + 33 = p. Let f = -3 + t. Solve -2*d - 8 + f = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1120 = 5*p - 5*b, 0 = 3*p - 6*p + 4*b + 676. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i**4 - 8545154*i**3 - 2433975460080*i**2 - 231090392371107200*i + 1063067308659584000 = 0 for i.\nAnswer: -284840, 23\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1800 - 2784*z - 360 + 1685 wrt z.\nAnswer: -2784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-8)*4\/11. Let k = -398.02 - -393. Let t = k - -0.02. What is the second smallest value in 0.5, t, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**7\/70 - 7*q**4\/12 - 7*q**3\/6 + 9*q. Let a(n) be the second derivative of l(n). Find the first derivative of a(r) wrt r.\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - r**2 + 8*r + 6. Let a be y(0). Let f be 200\/70 - a\/7. Which is smaller: 17\/21 or f?\nAnswer: 17\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*p - 4*p + 3*p)*(5 + 0 - 3)*(0*p**3 - 4*p**3 + 2*p**3).\nAnswer: -4*p**4 + 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1084 and 592.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1414982?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 16*n - 58. Let s be f(4). List the prime factors of (-1427)\/(-3) + -10 + 2\/s.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69571*i + 2 - 4 + 2.\nAnswer: -69571*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 54*k. Let i be 33\/44 - 5\/(-4). Let j be s(i). Suppose -2*v = -v - j. Does 18 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1055 + -291. Suppose -4*z = -3*i + 441, -z - 2*z + o = 5*i. What are the prime factors of i?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 61 - 8\/32*-4. Sort -0.01, r, 0 in descending order.\nAnswer: r, 0, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**8\/504 + 4*c**7\/315 + 13*c**6\/90 + 22*c**5\/45 + 31*c**4\/36 + 8*c**3\/9 - 61*c**2 + 8. Let y(g) = 0. What is g?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 3)*(3 - 2 - 2)*(-2*n + 5*n - 2*n) + (3*n + 0*n + 4*n)*(-4 - 1 + 4) in the form u + p*n and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 4 = -3*j + 4*g, 2*j - 4*g = 6. Let t be (1 - -1 - 0)*(-3)\/(-20). Which is greater: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60617786.\nAnswer: 2, 30308893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-26))\/(((-1860)\/(744\/12))\/8).\nAnswer: -6\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -370521*h**3*y**2 + 542*h**2*y**2 + 2941*h**2*y - 1 wrt h?\nAnswer: -2223126*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32752 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7331, -14660, -21989, -29318, -36647, -43976?\n\"Answer: -7329*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - a**2. Let s be 99\/(-21) - ((-18)\/(-21))\/3. Let q(z) = 7*z**3 - 4*z**2 - 3. Give s*w(y) + q(y).\nAnswer: 2*y**3 + y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1017 and -0.2.\nAnswer: -203.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -3248?\nAnswer: 3246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 + 6.7. Let t = 5 - d. Let s = 317\/21 - 44\/3. Which is the smallest value? (a) s (b) t (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20562 and 276?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + -48 + (6 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 106\/(-102) - (-15 + 14). Let n = y + 157\/102. Let -3*t + 15\/2*t**3 - n*t**2 - 9\/2*t**5 + 3\/2*t**4 + 0 = 0. Calculate t.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from meemmeeeeeee.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 4*j + 5*d, -7*j - 12 = -8*j - 3*d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16467\/448 + -3\/448. Let k(x) be the first derivative of 3 + 0*x - 28*x**3 + 6*x**2 + g*x**4. Let k(p) = 0. Calculate p.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21.2 in 0.3, -3, 83?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.6 and 125?\nAnswer: 125.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 922*0.8\nAnswer: 737.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 4:39 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a - 2. Let r(l) = -13*l + 7. Let j(u) = 2*r(u) + 7*t(u). Let b(f) = -7*f + 3. Let i(v) = -14*v + 7. Let w(q) = -7*b(q) + 3*i(q). Determine w(j(o)).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36098?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 10.9. Let m = -0.6 + g. What is the biggest value in -0.4, -1\/7, m?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 9:22 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, e: 3}. Give prob of sequence eeed.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23434, -46880, -70326, -93772, -117218, -140664?\n\"Answer: -23446*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 6*h**2 + h - 3. Let p be q(-4). Let k(b) = -11*b - 13*b + p*b. Let m(g) = -4*g - g + 23*g + 7*g. Calculate k(m(n)).\nAnswer: 25*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -10. Suppose -2*g + 11 + o = 0. Calculate the least common multiple of g and (-42)\/(-11) - 2\/(-11).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -61. Suppose -5*o = 46 - 121. Suppose f*c - o*c = 2451. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o**(-9\/2)*o\/(o*o*(o**(-2\/11)*o)\/o*o) assuming o is positive.\nAnswer: o**(-95\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(9\/18*(-8)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 220 times 0.32\nAnswer: 70.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 14*r - 18. Let z = 687 - 299. Let s = -373 + z. Give x(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -3*t + 8*t - 3*r, 2*r = -12. Let x(o) = -8*o + 6. Let s(h) = 17*h - 13. Determine t*x(q) + 2*s(q).\nAnswer: -6*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12285 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 5:27 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2398247 to 3 dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 75304 equal to 75301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/7 + 4\/(-14). Suppose k = 5*s + 4*j - j + 3, 0 = -5*s - j - 1. Which is smaller: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10519461 to the nearest integer?\nAnswer: 3243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 188*l - 188*l + 7*l**2 + (2 + 0 + 1)*(95 + 13 - 22)*(l - l**2 - l) in the form v*l + k + m*l**2 and give m.\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1643 is divided by 340.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/132 - (-7 + 7).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5048919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4506951.1 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -31. Calculate the least common multiple of o and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/5)\/((-4)\/20 + 0). Put 1, 4, w, -2 in increasing order.\nAnswer: w, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -21*b**2 - 1281*b - 2556. What is s(-2)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 5*c**2 + 4. Give o(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 5. Let u(d) be the second derivative of -1\/24*d**3 + i*d**4 + 1\/80*d**5 + 0*d**2 + 0 + 2*d. Suppose u(o) = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w**2 - 19*w - 8. Let b be o(-3). Suppose -2*m = h - 1729 + 651, -b*h = 4*m - 2152. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.5, 1\/8, 1.03, 4, -255, 1\/4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(52\/(-8))*1*-3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 3*y - 2*g - 236 = -9*g - 44*g, 6*g = -y + 49 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 1520, -5, 78\/11, -0.1, 1\/6?\nAnswer: 78\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 4*d**2 - 10*d + 3. Suppose 1 + 17 = -3*t + 4*n, -t - 6 = -n. Calculate w(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c + 2*c + 3*c + (3 - 3 - 2)*(-c - 3*c - 3*c) to f*c + x and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 22*r + 3. Let f(x) = 23*x + 3. Let v(o) = 4*f(o) - 3*h(o). Is 21 a factor of v(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 7:56 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 1, e: 1}. What is prob of sequence qi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*u**3 - 5*u**2 - 3*u**5 - u**2 - 9*u**4 + 4*u**2 - u**2 = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2*x - 130 = z, -x = -z + 29. Suppose -4*t - 5*n = -39, 3*n + n - z = -2*t. Sort t, -3, -4 in descending order.\nAnswer: t, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 21. What is the highest common divisor of 12 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 8*k**3 - 10*k**3 - 3.\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2.8, 2\/5, 4, 10.55, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2. Let a(b) = -754*b**2 - 117. Let i(k) = 13*k**2 + 2. Suppose -5*r = r + 702. Let u(q) = r*i(q) - 2*a(q). Calculate u(j(p)).\nAnswer: -52*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -2)\/(-19)*-2. Let k = 162 + -104. Let x = k + -63. What is the smallest value in x, w, -0.08?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 842*z - 851*z + 36 = 0. Solve -z*g - 12 = -2*d, -2*d = 9*g - 4*g + 33 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(238)\/(sqrt(252)*-1))\/(sqrt(16)\/(sqrt(8)*1) - (sqrt(2) - (sqrt(2)*1 + sqrt(2) + sqrt(2)))*-2).\nAnswer: -5*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**2 - 8*b - 5. Let s be ((-5)\/(-4))\/((-19)\/(-380)). Suppose 4*k = -5*y + s, -2*k = 4*y - y - 15. Is 16 a factor of m(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 7656?\nAnswer: 68904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 64334, 61970, 59606, 57242, 54878?\n\"Answer: -2364*k + 66698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*u - 1 + 19*u**2 - 166*u + 155*u to g + h*u**2 + z*u and give z.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 141576099.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5d5 + -c?\nAnswer: 5c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w**3 - 3*w**2 + 2*w + 1. Let y be m(-2). What is the units digit of (33 - 7) + y\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49065 + 16327 + 16404 + 3*f + 16327.\nAnswer: 3*f - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 418 divide 214711970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*x**2 - 3285*x - 1310.\nAnswer: -5*(x + 131)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, q: 1, t: 1, w: 3, p: 5}. Give prob of sequence www.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 1271*x + 124. Let z(n) = 31*n + 3. Let j(w) = -3*i(w) + 124*z(w). Let g(o) = -2*o**2. Give g(j(f)).\nAnswer: -1922*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (226*q - 644*q - 24*q - 702*q)*(-2*q - 3 + 3) to s*q + y + b*q**2 and give b.\nAnswer: 2288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15455)\/22 - 33)*68\/(-2). What is the greatest common divisor of 17 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/w**23*w)**(-2\/5)*((w*w**33\/w*w)\/w*w)\/(w**(-3)\/w) assuming w is positive.\nAnswer: w**(228\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 + 12*v**3 - 16*v**3 - 732*v + 732*v - 2*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 6*z = -369. What is the highest common factor of z and 287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 8*l - 2. Let i be (-118)\/16 + (-18)\/(-48). Let v be u(i). Let j = 16 - v. Solve -z + k + 9 = -3*k, -3*z - 4*k + j = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 38, -1, -0.06, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -79570 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2663 = 8*l + 2719 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, h: 3, p: 6, e: 4}. What is prob of sequence qpp?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 16 = -4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z + 1. Let a(w) = -w**3 - 10*w**2 - 16*w - 8. Let p be a(-8). Let j(q) = -q - 7. Let o be j(p). Let y(s) = 2*s - 6. Calculate o*y(i) + 3*d(i).\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(11) + (sqrt(88)*-5)\/sqrt(8) + 1 - ((sqrt(11) - ((-4*sqrt(11) + -3 - sqrt(11)) + sqrt(11))) + sqrt(11) + 3)**2*-1.\nAnswer: 68*sqrt(11) + 428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = s - 3*m, 0 = 6*s - s + 5*m - 30. Let c(p) = -11 + 2*p**2 + 28 - 5*p - p**2 - 6. Is c(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*f + 78543 - 450126 - 738262 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1107535 and 455?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 + 41*v + 39. Let g be o(21). Is (6\/g)\/((-2)\/(-1266)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1430597*a**2 + 530*a - 2210 wrt a.\nAnswer: 2861194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 64986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -12 + 10 - 9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 - 7*g - 3. Calculate u(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - 0.15. What is y rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 20*m**2 + 15*m + 20. Let s be d(-5). Let t = -404 + s. What are the prime factors of t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4611610000 rounded to the nearest one million?\nAnswer: 4612000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 3*z + 2 - 2 + z + (2*z - z - 2*z)*(0 - 1 - 1) + (-2 - 3 + 1)*(-2*z - 5*z + 6*z).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5315595133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4.9 (b) 4 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -173950*z**3 + 79007*z**2.\nAnswer: -1043700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 396 and 131175.\nAnswer: 524700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -15*l + 122. Let w(r) = -2*r - 30. Determine 4*w(i) + 2*x(i).\nAnswer: -38*i + 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8422\/7 + -1202. Find b such that -2\/7*b + 8\/7*b**4 - 2\/7*b**5 + 0 - 12\/7*b**3 + h*b**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 11 + 1 - 0) + 209 + -111 + -110?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - a**3 + 20*a**3 - 4 - 19*a**2 + 19*a**2 - a**4 to k + x*a**4 + q*a + m*a**3 + t*a**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -500?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nza when three letters picked without replacement from dzzzpnadggpggz?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, w: 3}. Give prob of picking 4 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 369 minutes before 9:11 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 23699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 331.68, 0, -4, -102, 4 in descending order.\nAnswer: 331.68, 4, 0, -2\/9, -4, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 + -1. Let h = 40.7 - 41. Which is the nearest to -0.1? (a) h (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001779766 rounded to 5 dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 443766335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8483075934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 2*y + 6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6019407, -12038807, -18058207, -24077607, -30097007?\n\"Answer: -6019400*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 7:50 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*x + 2*x, 3*x = 4*w + 4. Let r be 1*9\/((-3)\/(-1)) - w. Suppose -r*k + k + 1644 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631 is divided by 224?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/(-10))\/(8\/(-2060)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 6) to base 2.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 - 3 + (-1 - 2 + 1)*(2 - 2 + 1) - 1 - 5 - 1)*(13*k - 12*k - 2*k**2 + 18*k) to the form s + w*k**2 + d*k and give w.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -110002122121221 (base 3) in base 15?\nAnswer: -87008d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3872 - 1877 + 1088 = -59*k for k.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 55\/((-990)\/(-216)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 1:25 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2728 + -2728.02. Sort -0.2, 5, o in ascending order.\nAnswer: -0.2, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 38*g = -40*g - 16, -3*g + 28 = -h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*v + 2926 = 66*v. Solve -39*j - v = 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 4 = 8*y, 4*y = 2*p - 5022. Calculate the remainder when p is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106 and 477?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**7\/420 + i**6\/360 - i**4\/12 + 11*i. Let f(b) be the third derivative of g(b). Let k(m) = m**2. Give f(u) - 4*k(u).\nAnswer: 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.07\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (42 - 18 - 3489*f - 22)*(-f**3 + 3*f**3 - 4*f**3) to z*f**3 + m*f**4 + t*f + r + j*f**2 and give m.\nAnswer: 6978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*p - 1218 - 831 + 169 = 0 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l - 2. Let b be y(-1). List the prime factors of 14 - (-5)\/b*0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from {h: 7, i: 8, c: 1, w: 4}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 127399759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 742, 1082, 1990, 3748, 6638, 10942, 16942, 24920?\nAnswer: 35158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*b + 0 + (2*b + b - 4*b)*(7 + 8 + 2) - b + b - 2*b.\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h\/(h**6\/h))\/h)*h)\/h**(10\/7))\/(h\/h**11)**(1\/48) assuming h is positive.\nAnswer: h**(803\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 14655037.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358081872?\nAnswer: 2, 3, 7460039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-290)\/(-12) - 9\/54. Calculate the greatest common factor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from bxbbsbbxxvsxyyss.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/9 - 820*l**2\/9 + 3254*l\/9 - 812\/3.\nAnswer: 2*(l - 406)*(l - 3)*(l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 151 + 4 + 2 + -3. Suppose 5*g + 0*q + 2*q - l = 0, 112 = 4*g - 4*q. Let k = -27 + g. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*(-1 + sqrt(55)\/sqrt(5) + sqrt(11)))**2.\nAnswer: -72*sqrt(11) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 0 + 1\/12*i**4 - 33\/2*i**2 - 230*i + 16\/3*i**3. Let v(z) = 0. What is z?\nAnswer: -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62*f**5 + 59590*f**4 - 9422495*f wrt f.\nAnswer: 1240*f**3 + 715080*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*x = -11*x + 212 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1475394*d + 10069630 wrt d?\nAnswer: 1475394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -8*z**2 + 192*z - 639. What is c(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 100 = -4*m. Let y(p) = -3*p**2 - 25*p + 43. Let a be y(2). Is m not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 301 and 15566?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-9 + 13 + -17). Solve -7*x + q = -18 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883433\/50 at most as big as 37668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**4\/12 - 2*t**3\/3 - 5*t**2\/2 - t. Let q be m(-4). Let a be 2 + -1 + 1\/1. Sort -4, q, a in ascending order.\nAnswer: q, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtt. What is prob of sequence mt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22, 124, 176, 154, 34, -208?\n\"Answer: -4*z**3 - z**2 + 133*z - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1323.14 + -1311. What is y rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -8. Suppose 5*m = z*m - t + 61, 4*t = -3*m + 55. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npn when three letters picked without replacement from {j: 1, n: 2, s: 2, c: 1, p: 6}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 11:44 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 1270.\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 0*k + 6*k - 13*k - 195 + 3*k in the form u + m*k and give u.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24625*s + g - 5 = 24624*s, 13*s - 3*g + 31 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 884, 8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 88 + 304. Let b be ((-30)\/(-35))\/((-7)\/s). Which is greater: b or 22?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/20)\/(((-2115)\/168)\/(-5)). Let p = 31423\/1410 - c. What is the common denominator of -13\/5 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y + 6. Let g be o(-4). Let u(l) = l**3 + 5*l**2 - 6*l + 5. Let n be u(g). Solve n*m = 3*m - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-3) + 2 - 29\/8. Which is the closest to 0? (a) 3 (b) n (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 389576 and 15378.\nAnswer: 1168728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*z - z - 49, 5*q + 2*z = 110. Let h = 33 + -25. What is the greatest common factor of q and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2.2. Let s = -0.208 + -0.092. Are s and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -677, -639, -553, -419?\n\"Answer: 24*p**2 - 34*p - 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 136803341\/43168 + -29422\/1349. Let b = -3150 + j. What is the common denominator of (-1)\/(-2) + (-35)\/16 and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -10*b + 27. Let k be u(3). What is the units digit of (-549)\/(-12) + (-5)\/((-20)\/k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.111 rounded to one decimal place?\nAnswer: 39.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50274*c + 50274*c - 5*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5992 + -5888. Which is the closest to -2? (a) 1 (b) i (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 1)*(d + 0*d + d)*(4*d**2 + 3*d - 3*d + (-2*d**2 + 2*d - 2*d)*(2 - 6 + 2)) in the form c + p*d + v*d**3 + l*d**2 and give v.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**6\/120 - 3*j**5\/20 + j**4\/24 - j**3\/2 + j**2. What is the least common multiple of 3 and r(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2 + 67402*o + 5608144 = 0. What is o?\nAnswer: -83, 33784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315502111?\nAnswer: 315502111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 2*h - 2478, 264 - 885 = -b - 2*h. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 2995*p - 8940.\nAnswer: -5*(p + 3)*(p + 596)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k - 20. Let h be j(-10). Solve h = 2*m - 9 - 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -116 (b) -2 (c) -1\/11 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -440 + 486. Suppose 0 = 7*v - 29*v + 1518. What is the greatest common divisor of p and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 554138652 to the nearest integer?\nAnswer: 23540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 46*t**2 + 2*t - 45*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-136))\/(((-93)\/155)\/(3\/(-10)))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/243 and -101\/118314?\nAnswer: 1064826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 + 4*h - 1. Let g(i) = 24*i**2 - i. Let n be g(1). Let t = 39 - n. Calculate the remainder when q(-6) is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*i**2 - 31*i**2 - 34*i**3)*(-11 - 309 - 111 + 3*i + 8 - 32) to q*i**4 + h + g*i + l*i**2 + b*i**3 and give b.\nAnswer: 15470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 2*w - 76, -12 - 26 = -3*k + 5*w. Let i = -29 + 61. What is the greatest common divisor of i and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1151 divided by 6.\nAnswer: -1151\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -978 - -980. Let t(o) = -o**2 + o + 1. Let f(l) = 27*l**2 - 33*l - 33. What is c*f(v) + 66*t(v)?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {x: 1, f: 2, c: 1, e: 1, d: 2, n: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 + 200332?\nAnswer: 200211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*v - 13 + 13)*(-3 - v + 3)*(0*v - 3*v + v) in the form r*v**3 + m + x*v + b*v**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 1 - ((-2 - -11) + -11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 14.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1706, 0.4, -0.9, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 5*y**2 + 5. Let i be z(5). Suppose 3*j + i - 32 = 0. Let v(t) = -t**2 + 9*t + 2. Let g be v(j). Solve 14 = 4*u - g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -12*i + 3*b + 181, 3*i - 99 = 5*b. Suppose i*f = 41*f + 15. Sort 5\/4, 1, f.\nAnswer: f, 1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16 - 22338\/1387)*38\/(-6). Factor -z*d**3 + 4\/3 + 8\/3*d - 1\/3*d**4 + d**2.\nAnswer: -(d - 2)*(d + 1)**2*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -107, -294, -579, -968, -1467, -2082, -2819?\nAnswer: -3684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7017 is divided by 195?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 6 + 3)*(0*t + 6*t - 5*t) to g*t + r and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from gsgpgssssgsgsgssgsg.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12927657935 - 67\nAnswer: 12927657868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -425379 (base 12) to base 16\nAnswer: -ff5cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.72 less than -0.09755170442?\nAnswer: -30.81755170442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.29448 micrometers in kilometers?\nAnswer: 0.00000001129448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/7 and 61\/804.\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 372624193 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 533 - 531. Suppose 2*f + 3 = -3*z, -5*f = -f + d*z - 6. Solve -f*b + 5*j = 5, 0*j = -b + 2*j - 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/51)\/(1\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -j - 3*j. Solve 4*d + j = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2055)\/(-420) + -5)\/((384\/56)\/(-12))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1248 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1474 - -0.1472642. What is q rounded to six dps?\nAnswer: -0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - o**2 + 3. Suppose 2*h + 8 = -3*c, -c - h - h = 8. Let f be n(c). Solve -2*i + 3*i + 12 = -3*d, -4*i = 3*d + f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 280264 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a day in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27 and 1.644.\nAnswer: 44.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2614 (base 9) to base 4.\nAnswer: -132211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10564.\nAnswer: 2, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -114235 (base 7) to base 10\nAnswer: -20704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(3600)\/sqrt(12)) + ((2*sqrt(1134))\/sqrt(7))**2.\nAnswer: sqrt(2)\/10 + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9385608161?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 289726979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5 + 7. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-12740)\/39)\/(-1 - 6\/(-9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 15381?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 803734 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 + f + 1. Let z be k(-1). Let j be ((-46)\/(-6) + -9)*(-3)\/2. Solve -4*n + z*h = -j, 0 = n + 2*h - 13 - 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 10*k**2 + 8*k - 6. Suppose 5*l + 3*p - 13 = -73, 47 = -3*l - 4*p. Let b be t(l). Suppose 0 = -b*o + 35 + 4. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c9b5 + -4?\nAnswer: 1c9b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207690529 and 32039?\nAnswer: 4577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + -4. Suppose u = 2*m - 26. Calculate the remainder when m is divided by 18\/12 + (-62)\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k - 2. Let l be z(3). Let f be -98 + 108 - (9 + 0). Let w = 0.8 + 4.2. Which is the closest to f? (a) l (b) w (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 4866.22\nAnswer: 9732.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 1. Let g(t) = 3*t + 42. Let f(b) = -5*d(b) + g(b). What is the least common multiple of 11 and f(21)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**4\/5 + 4*g**3\/5 + 6*g**2\/5 + 4*g\/5 + 11. Factor t(y).\nAnswer: 4*(y + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 4. Suppose 0 = -3*q - 15, d + 2*q + 13 = 5. Suppose -2 = w - d*l, -4*w - 2 = -l - 29. Calculate n(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1105987 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/7, -0.04, 0.9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 - h + 1. Let x be i(1). Let l(p) = -p. Let o be l(-2). Suppose -2*j + o = -x. Calculate the smallest common multiple of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-25)\/(-12) + (-15)\/20*1. Factor h*m**2 + 0 - 2\/3*m.\nAnswer: 2*m*(2*m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 27 = 3. Suppose 2*m - 8 - 12 = 0. Solve v + m = -u*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*h + 13*p - 11*p, 0 = 3*h - 3*p + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from {q: 1, y: 1, r: 1, p: 1, f: 2, o: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 24532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -2, 403, 24 in decreasing order.\nAnswer: 403, 24, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -43\/14 (b) 0.18 (c) 1\/5 (d) -2 (e) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*v - 2266 + 8 = 1008. Is 48 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2216)\/(-576) + -4 - 10\/45. Let t = -3 - -3.2. Suppose 0 = c + 2*d - 11, 3*d - 22 = -4*c + 2. What is the biggest value in -3, c, t, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - b, 0*b = -x + 5*b + 19. Let z be 8*x\/(-24)*3. Solve -5*t + 16 = z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggm. Give prob of picking 2 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12408073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16273969 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.321 + -2.679. What is the smallest value in q, 5, 1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1034 and 326150?\nAnswer: 15329050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10108313?\nAnswer: 10108313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2082717512 to the nearest integer?\nAnswer: 1277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 6*c**2 - 7*c - 8. Let r be s(-6). Let y = -14 + r. What is the remainder when 57 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 915 + 81. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 0*m + 2*m + (-6*m - 9 + 9)*(-3 - 1 + 3))*(-4 + 4 - 1) to the form a*m + b and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*b + 17, -4*q + 16 = -b - 0. Sort b, 3, 52, -4.\nAnswer: -4, 3, b, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*l - 92*l + 44 = 93*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 108449\nAnswer: -1\/9859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(7) + -1 - sqrt(7)) + 5 + 1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -233*r**4 + 2*r**3 - 1251*r**2 - 41403*r - 257?\nAnswer: -2796*r**2 + 12*r - 2502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1279, -1261, -1243, -1225, -1207, -1189?\n\"Answer: 18*z - 1297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17089 is divided by 1199.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 2*v - 2 + 0 = 0, -2*r + v = -5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvve when four letters picked without replacement from eevveeevveevvevevve?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 94409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88*a*g**2 - a*g + 35 wrt g?\nAnswer: -176*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56.9 + 56.4. Suppose 0 = -31*m - 6 - 25. Sort d, -9, m in decreasing order.\nAnswer: d, m, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15808 by 19.\nAnswer: -832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58\/41? (a) 1\/4 (b) 5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4757 and -80.\nAnswer: 4677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-16))\/((-7)\/(-28))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 15 = 5*y + 21, -5*b - 4*y + 97 = 0. Let w be (4\/10)\/((-1)\/(-5)). Solve b = w*m - m - 4*u, 3*u = m - 13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4494 + -4470. Calculate the remainder when 800 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**5\/3 + 34*m**4\/3 + 6*m**3 - 298*m**2\/3 - 160*m\/3 + 136 = 0.\nAnswer: -2, 1, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 273355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 177*g + 2109. Calculate h(-14).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 10 = -5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -0.167431\nAnswer: 0.0669724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -1)\/(8\/(-12)). Let l be 44\/7 + (-2)\/7. Suppose l + 3 = s*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24764885 not equal to 24764887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 + (4 - 8) + -2 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 912 - 429. Suppose 198 + w = 3*q. Let i = q + -106. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 1)*(-d - 2 + 2) - d + 0*d - d + (3 - d - 3)*(2 + 1 - 1) + 73438 - 73438 - 1315*d to the form s*d + l and give s.\nAnswer: -1320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 24666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d**3 - 16 - d**3 + 5)*(-1 + 2 - 2 + (0 + 2 + 0)*(5 - 2 - 5)) as f + y*d**3 + v*d**2 + i*d and give f.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.017 and -5?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 at least as big as 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 429953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 - 2 - (8 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 278 (base 15) in base 16?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6452, 12925, 19398, 25871, 32344?\n\"Answer: 6473*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.41087509 to zero dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*g, v + 5*g = -4*v + 40 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1920 and -187?\nAnswer: -359040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3 - 3*w + 4*w + w. What is the tens digit of d(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56439300?\nAnswer: 2, 3, 5, 419, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 8. Let o be (-2)\/(1\/(1\/m)). Solve -o - 1\/2*u + 1\/2*u**2 + 1\/2*u**3 = 0 for u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -47, -114, -235, -428?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 39 - 23. Suppose -4*i + 8 = -4*c, i + n*i = -5*c - 2. Let x(w) = 3. Let v(d) = d. Calculate i*x(b) + v(b).\nAnswer: b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/24 + 1946\/8 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)*o**1)\/(o**(2\/11)*o**(-3)*o) assuming o is positive.\nAnswer: o**(-35\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 14. Which is the nearest to 1? (a) 0.4 (b) u (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 492 - 987 - 34*i**3 + 497.\nAnswer: -34*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208479?\nAnswer: 3, 69493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8554 = 9*r - 14135. List the prime factors of r.\nAnswer: 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 88595*p**2 + 44296*p**2 + 44290*p**2 + p.\nAnswer: -9*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12922659, 12922662, 12922669, 12922680, 12922695?\n\"Answer: 2*p**2 - 3*p + 12922660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 10*b + 4*r - 5749, -3*b - 2*r = -5759. List the prime factors of b.\nAnswer: 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -16. Calculate the lowest common multiple of 2\/9 + (-7)\/(-9) and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1940057 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(21\/(-6))\/7. Suppose -3*s - 3 = -3*h - g, -4 = -s - 4*h. Suppose s = 5*t - t - 12. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1936\/7 + 13112\/7*k - 22201\/7*k**2 = 0. Calculate k.\nAnswer: 44\/149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 6 = 4*q. Suppose r + c + 7 = 4*r, 0 = -5*r - 5*c + 25. Suppose q*i - 9 = -t, -r*t + 6 = -t. Solve -d + 4 = i*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*x**2 + 23 - 10 - 13.\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 15*t**2. Let l(k) = 2*k**2. Calculate w(l(m)).\nAnswer: 60*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/7))**(2\/19)\/(z**2*z\/z**(3\/8)) assuming z is positive.\nAnswer: z**(-2649\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 7*g**2\/2 - g - 1. Suppose t - 1 = -0. Determine y(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -107, -118, -115, -98, -67?\n\"Answer: 7*f**2 - 32*f - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(60)*4*-3)\/sqrt(12) + (sqrt(30) - sqrt(120)\/sqrt(4)*-3)\/(1*sqrt(864)).\nAnswer: 181*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -629 and 0.05.\nAnswer: -31.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*g - 3*z - 11, 0 = -4*g + 4*z - 12. Solve u + 15 = -g*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkmkilzl. What is prob of sequence imlz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4130*d**4 + 18602*d wrt d?\nAnswer: 49560*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a kilometer in meters?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 9*a. Let j be s(-9). Suppose -4*l + 4 = l + 2*w, 3*l + 3*w + 3 = j. What is the smallest common multiple of 18 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2036016 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnng when four letters picked without replacement from {r: 1, b: 1, g: 2, n: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 3 + 0\/(-13). Let w(b) = b + 84 + 27*b**3 - 3*b**2 - 82 + i*b**3. Is w(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 - 5*r + 7. Let y be t(-6). Let b = y + 58. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, 0.03, -12, -4, 0, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14658\/(-33) - ((-4002)\/(-253) - 16). Which is smaller: -1334\/3 or h?\nAnswer: -1334\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -32*q + 1. Let h be d(-1). Let l be 1\/((-2)\/12) - -4. Let t = h - l. Calculate the highest common divisor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1340, -1339, -1338, -1337, -1336, -1335?\nAnswer: -1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-21)\/9*12\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352005 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 - -65. Solve 6*p - u*p**3 - 4*p - 4 + 4 - 2*p**2 + 2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sshh when four letters picked without replacement from {h: 12, s: 3}.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**4\/4 - n**3\/6 - 15*n**2 + 2*n. Suppose 2 = -4*s + 18. Suppose -3*c - s*z - 25 = 2*c, -2*c = -3*z - 13. Calculate o(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 431061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -5. Let m = -8 - o. Let u = m + 21.8. What is the smallest value in 2\/3, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46.84 - 46. Let p = s + -1. Let u = 0.06 + p. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 86598 and 40752?\nAnswer: 692784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 546 + -5752?\nAnswer: -5204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vte when three letters picked without replacement from vtcwesw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 2. Let s(d) = -d - 1. Let o(c) = -c**2 + 19*c + 6. Let g(j) = -o(j) - 4*s(j). Let b be g(15). Give k(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - c + 66 - 67 = 0, -2*c = -2*t - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 172 = 188 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 + 75*m - 2*m**2 - 3*m + 3*m**2 in the form t + z*m + a*m**2 + r*m**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1990\/125 + (-28)\/(-350). Solve 4*q + c = -p, 5*q = -2*p + 5*p - 37 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**4 - 4*q**4 + q**4)*(3 + 3*q - 3)*(0 - 1 + 3).\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 7*v**2 - 8*v + 93. Let q(x) = x**2 - 2*x. What is -m(t) + 4*q(t)?\nAnswer: -3*t**2 - 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2677, 5361, 8045, 10729?\nAnswer: 13413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**2 + 5426206*y + 21704792 = 0?\nAnswer: -2713099, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/24 - 53\/3. Let d = z + 19. Let s(g) = 4*g**3 - g + 1. List the prime factors of s(d).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.6 + -1.6. Let v = l + -0.1. Suppose -4*y = -3*y - 5*u, -3*y + 3*u = 0. Which is the second smallest value? (a) -3 (b) y (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 - 970?\nAnswer: -991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, 2.3, 0.4, -137, 0.3, -1?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -128652 bigger than -128046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**4\/4 + 2*f**2 - 1638. Let d(p) = 1641*p. Calculate w(d(t)).\nAnswer: 9846*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 15. Let y be u(-12). Let l(r) = -r**3 + 2*r**2 + 2*r + 2. Let h be l(y). What are the prime factors of 35 - (3 + 4*h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145716 is divided by 13227.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 22. Solve -4*o + 3 - 19 = t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53\/259 - -3\/37. Let r be 56\/(-528) + (2\/(-12))\/(-1). Is n bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gei when three letters picked without replacement from geigivigeegeeje?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*p + 2841 = -13461 for p.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -9, -4.\nAnswer: -9, -6, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -1699999*f**2 - 15*f + 26. Let s be o(2). Round s to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1331 (base 4) in base 5?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 - -2432\nAnswer: 2431.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 - 35*y - 16. Let n = 22 + 0. Let q be (n\/33)\/((-4)\/114) - -2. Let o be l(q). Which is the nearest to o? (a) -3 (b) -0.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -10*u**3 + 4*u**2 + 2*u. What is s(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t + 4. Let l(r) = -6*r + 5. Suppose -15 = -13*z + 50. What is z*b(s) - 4*l(s)?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (414\/156 - 10\/65). Which is the closest to -2? (a) -2 (b) -1\/3 (c) v (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 3. What is the greatest common divisor of q and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -36 + 3 + 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**3*k**2*n*p - 2*g**3*k*n + 208*g**3*n*p + g**2*k**2*n*p - g*k**2*p - g*n*p + 3182*k**2*n wrt g.\nAnswer: 6*k**2*n*p - 12*k*n + 1248*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2 = -2, -4*v - 146970 = 2*j. Is (-3)\/(-18) + v\/(-12) - 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*j, j - 2 = -3*v - 2*v. Suppose 1 = -v*i - i. Let h = -12174\/13 - -936. Is h at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/4)\/((-6)\/(-60)). Suppose 6 = w*j - 4. Solve j*n = p + 4, n + 12 = 4*n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a8 + -32?\nAnswer: -11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 139\/((-764778)\/(-84))*(-9)\/(-18)?\nAnswer: 1\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 131153303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*l + 4. Determine s so that -l*s**2 + 15 - 5 - s**2 - 5*s = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -154 - -260. Let b = -64 + y. Let t = -42.00041 + b. Round t to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13342623.2 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1414 - 0.6.\nAnswer: 1413.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 e when three letters picked without replacement from {e: 17, x: 3}.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33809 and 2.1.\nAnswer: 70998.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6765653*r**3 + 1037319 wrt r?\nAnswer: 20296959*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 340127 or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -4, -16965, -3, 51 in decreasing order.\nAnswer: 51, 3, 1, -3, -4, -16965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -74*l**2 + 22*l - 4615. Let z(i) = 54*i**2 - 16*i + 3461. What is 16*j(q) + 22*z(q)?\nAnswer: 4*q**2 + 2302","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/61802655 and 91\/24721062.\nAnswer: 123605310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuyuppuuu. Give prob of picking 1 u, 2 y, and 1 p.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 e when three letters picked without replacement from {e: 7, q: 4, n: 3}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9501166 grams in milligrams?\nAnswer: 950.1166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-6\/13))\/u)\/u**(1\/4))**(2\/13) assuming u is positive.\nAnswer: u**(-37\/338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m = -13*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*a + 251*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 33, 68, 105, 144?\n\"Answer: w**2 + 32*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o - 8. Let s be x(-9). Let p(k) = k**3 - 11*k**2 + 6*k - 13. Let q be p(s). Let a = -35 - q. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k - 148. Determine f(12).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*v + 8, -19*j + 21*j = -v + 2. Solve j = -13*o - 5 - 73 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/((-42)\/(-24)) + (5 - -2). Suppose -4*w + k*w + 28 = 0. Suppose 3*h = -0*h - b - 2, -b = -h - 6. Is w at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1048 - 624. Calculate the remainder when n is divided by 59.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -5980 (base 13) in base 5?\nAnswer: -400420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*p)*(1 - 1 + 1 + (-2 + 4 + 0)*(-1 + 0 + 2)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23 (b) -7.3 (c) -2 (d) 1644\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*k - 4, 0*k - 4*k = p + 18. Let t be p + (-2 - -1 - 0). Let i be (15\/(-9))\/(t\/(-9)). Solve -2*q = -5*q + i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39100 and 27399716.\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbj when three letters picked without replacement from {z: 2, b: 2, f: 2, j: 6}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {n: 2, v: 4, g: 5, a: 5, j: 1, p: 3}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbq when three letters picked without replacement from {q: 1, e: 1, n: 5, b: 3, a: 6, x: 1}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.5 in -2\/443, -0.2, -2\/27?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 89555202?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(2)*5 - sqrt(51)\/sqrt(3)*2)**2*6.\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21718 + 45218. List the prime factors of j.\nAnswer: 2, 3, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -31) + 35\/(49\/7). Solve 6*q = -i*q + 120 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*z - 3*b, -11 = -4*z - 3*b - 8. Solve a - 5 = -z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -59, -290, -919, -2144, -4163?\n\"Answer: -33*p**3 - p**2 + 3*p - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726784 is divided by 400?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 0.06, -2\/27, 7 in increasing order.\nAnswer: -2\/27, 0.06, 0.6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/96 and -91\/108.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 164747744 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m**2 + m**2 + m**2)*(6 + 2403*m - 10 + 4 + 3876*m) in the form j*m + o*m**3 + u + g*m**2 and give o.\nAnswer: 6279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9803\/82431 + 20\/1161. What is the common denominator of t and 28\/(-48) - (-8)\/(-12)?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/1050*-7)\/(162\/(-20)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 + 2*b - 5. Let s be m(4). Let x = s - -17. Suppose 0 = -4*k - 0*k + 2*u + x, 3*u = 6. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 11:52 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**5 + 17565*q**4 + 875*q**2 - 76670725*q?\nAnswer: -20*q**3 + 210780*q**2 + 1750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 7*p**5\/180 + 11*p**4\/72 + 2*p**3\/9 + 2*p**2. Solve m(z) = 0.\nAnswer: -1, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c + 62339564 - 62341452 = 0 for c.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68597*n**3 + 4*n**2 + 3971*n wrt n?\nAnswer: 411582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 248*t - 3112 - 4218 - 1350 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p**2 - 17*p + 2. Let t be v(-4). What is the third derivative of 142*l - 102*l**t - 148*l - l**5 + l**5 + 9*l**2 wrt l?\nAnswer: -12240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a - 4*a**3 + 17*a + 3*a**3 - 5 + 2*a**2. Let g = 286 + -282. List the prime factors of y(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*h - 16 = 0. Let f(j) = -j**3 - 5*j**2 + 8*j + 18. Let n be f(-6). Solve 0*k - n = -h*y + k, -3*y + 8 = k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 31*n - 14. Let t(m) = 14*m - 6. Let w(q) = -5*h(q) + 11*t(q). Suppose 2*d + 6*c = 5*c + 1, 5*c = -5*d + 15. Determine w(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -100467, -200935, -301403, -401871, -502339?\n\"Answer: -100468*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, r: 1}. Give prob of sequence ttr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 98996347*b**2 - 39607334.\nAnswer: 197992694*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 c, and 1 u when three letters picked without replacement from xxxxcxkppxuxux?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 6*y = 2*y - 7, -5*y - 3 = -2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(432)*-2 + -4)*-2 + -2*-2*sqrt(432)*4)*-5)**2.\nAnswer: 120000*sqrt(3) + 4322500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.03 - 0.03. Let i = 36.4 + -0.4. Let t = -38 + i. What is the second smallest value in 2\/3, t, g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2400 less than -151974?\nAnswer: -154374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**5 + 8*s**4 + 1732*s**3 + 9208*s**2 - 1728*s - 9216 = 0. Calculate s.\nAnswer: -16, -6, -1, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 10:43 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1. Suppose 9*l - 5*l = -2*k + 110, 0 = 2*k + 6. Let f(b) = -9 - 20 + l + b. Determine a(p) + 3*f(p).\nAnswer: 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -675110832 by -6.\nAnswer: 112518472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 158.57.\nAnswer: -634.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*c - 22693 - 22*c + 35*c + 22697.\nAnswer: -8*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.025349 times -3\nAnswer: 0.076047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-1) + 14\/7)*1. Suppose t*n + s = 332, -3*n + 6*s + 524 = s. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -252 + 466. Let d = b + -118. Does 27 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.5 (b) -0.5 (c) -196 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(7\/2)*t**17)\/(((t**(-4\/15)\/t)\/t)\/(t\/(t\/(t**(-4\/9)\/t))*t*t*t*t)) assuming t is positive.\nAnswer: t**(2279\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 6*f**2 + 4*f + 3. Let c be g(5). Let a = 8650 - 8650. Put a, c, 5, -3 in descending order.\nAnswer: 5, a, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/99)\/(3\/(-108)*-4*5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03215312683 from -0.2.\nAnswer: -0.16784687317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i + 9 = 0. Suppose y - 16 = -i*y. Suppose -5*d + 10*d - 6 = 2*w, 30 = 2*w + y*d. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -642546*s**3 - 2356779*s wrt s?\nAnswer: -3855276*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/42 + (-1173)\/18. Let l be 6\/(-24) + y\/(-4). Find the common denominator of ((-194)\/4)\/(16\/l) and 139\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1.3 (b) 1\/3 (c) -4 (d) 47494\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -200\/719 - 44371\/122230. Calculate the common denominator of z and 23\/70.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-3))\/((-130)\/15)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/36*4\/(-3) + 21\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53861 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - -53?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.034158 to 3 decimal places.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 49016*p + 6 - 6 - 41801*p as a*p + o and give a.\nAnswer: 7215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -43871028 times -2?\nAnswer: 87742056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/19, 21\/8, -0.3, -5\/2 in descending order.\nAnswer: 21\/8, 2\/19, -0.3, -5\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g + 4 + 5*g - 4. Let t(f) be the first derivative of 3 + 4\/3*f**3 + 0*f + 0*f**2. Determine w(t(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*b + 18*b - 18*b + (3 + 1 - 6)*((4 + 0 - 2)*(0*b + 4*b - 2*b) - 2 + 2 + 2*b + 5 - 2*b - 5).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488873893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2149811.065 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.1 plus -322326335012?\nAnswer: -322326335029.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(5\/8))\/i**(1\/24))\/(i**(-8)*i*i*i\/i**(-5\/4)) assuming i is positive.\nAnswer: i**(49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6804 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60884938.\nAnswer: 2, 193, 157733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((369\/(-3))\/3)\/1. Let b = 124\/3 + t. Factor 2\/3*d**2 + b*d**3 + 0 + 1\/3*d.\nAnswer: d*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**3 + 6*v**2 + 3*v = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41.16 - -42. Round r to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 11*y + 26. Let n(m) = m**2 - 17*m + 56. Let w be n(13). Let j be z(w). Let s(b) = 2*b - 1. Calculate s(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 211, 5, 17, 24 in descending order.\nAnswer: 211, 24, 17, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9\/106 + -133\/318. Let c = 105 - 182. Which is bigger: y or c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/10 - (1 - 879) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 13073.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 8:25 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-87)\/(30450\/100))\/(10\/(-42))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 7:13 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -242 + 242. Suppose 0 = -4*p + 5*n + 49, 3*p - 32 = -f*p - n. Calculate the smallest common multiple of p and 21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 117*i**2\/8 - 419439*i\/8 - 10755\/4 = 0.\nAnswer: -2\/39, 3585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -2720?\nAnswer: -2720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 - (-14 - (-2 + -18 + 23))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffr when three letters picked without replacement from {f: 5, r: 7, w: 4}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 2*d + 0*d)*(63 - 172 + 14).\nAnswer: -475*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 10, 4*w = 5*c + 413145 + 75875. Round c to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327.15249 rounded to 0 decimal places?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 = -2. Let t(z) = -3*z**3 + 2*z**3 + z - 11*z + 1 + 3*z**2 + 7*z. What is t(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2. Let n(x) = -3*x**2 - x - 1. Let y(l) = -n(l) - 4*q(l). Let b be y(3). Let i = -3 - b. Solve 4*j = i*j - d - 1, -j + 7 = 3*d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 1. Let v(r) = 2*r**2 - 17*r + 6. Let f(k) = 6*d(k) - v(k). What is the second derivative of f(y) wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1. Let u be (-14)\/(-10) - 12\/(-20). Let b be ((-8)\/4)\/(u\/4). Put 6, o, b in ascending order.\nAnswer: b, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 18. Let z = w - 7. Solve -3*d + 5*d + 10 = z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 5:05 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 5*k - 8. What are the prime factors of n(-13)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1875, -1\/3, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 1. Let b(y) = 2 + 0*y**3 + 5 + y**3 - 3 + y + y**2. Let m be b(-2). What is k(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63171 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15468 and 1774?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and 4.969?\nAnswer: -0.24845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1325 + 1585)*1\/(-2).\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzhzhhzhzzzzh. Give prob of picking 4 z.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-601768)\/(-18297))\/((-8)\/18).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 3*w**4\/20 + w**3\/5 - 9*w**2\/5 + 51. Factor p(m).\nAnswer: 3*m*(m - 2)*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -10*o - 25. Let n(l) = -l**2 - 8*l + 11. Let b be n(-10). What is the tens digit of y(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 z when three letters picked without replacement from {d: 9, z: 1, q: 4}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j = 25*j - 6, 5*h + 15 = -5*j for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 6:01 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -178 > -973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4059 and 8910?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 - (-3 - -3 - 0) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 9 = -4*t. Let k be 1\/((8\/t)\/4). Put 1\/2, 0, k in descending order.\nAnswer: k, 1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/5)*y**(-7)*y**(-2\/11)*y*y\/(y*y**(-1\/15)*y) assuming y is positive.\nAnswer: y**(-1108\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/2 + (22211\/210)\/19 and -2\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 8:50 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86291.75 nanograms to grams.\nAnswer: 0.00008629175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287, 60, -167, -394, -621, -848?\nAnswer: -1075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9*n**2 + 8*n - 5. Calculate the least common multiple of d(-2) and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 33*t = 35*t + 134, 0 = 3*t + 3. What is the smallest common multiple of a and ((-10)\/(-4))\/(2\/8)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 434, 913, 1392, 1871?\nAnswer: 2350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 101.6 (c) -4 (d) 7 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -9*t**2. Let x(o) = o**2 + 6. Give x(p(y)).\nAnswer: 81*y**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.1 (b) 0.2 (c) -25.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*f - 55. Let a(p) = p**2 - 5*p - 3. What is a(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 24*t - 2. Let o be a(-12). Let c be 2\/(-4) - (28\/(-8) - o). Solve -2*j - 1 = c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478 = -3*h - 2*q, 5*q + 0 = -5. Let k(y) = -h*y + 161*y - 4 - 2. Let p be k(10). What is the greatest common divisor of 32 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.02948 - -32.03. Let c = 21 - t. What is c rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -448, 4, 48, 5, -4, -33, -1 in descending order.\nAnswer: 48, 5, 4, -1, -4, -33, -448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 42*m**2 - 65*m + 69. Calculate the remainder when r(40) is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174*4.\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.322 - -2.3. Let m = -0.022059 - g. What is m rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5453831 plus 73?\nAnswer: -5453758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-68 - (14 + -105))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 108748120571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 17 - 8 + 3*k**2 - 3.\nAnswer: 3*k**2 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6080092089.\nAnswer: 3, 41, 79, 181, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**3 + 2*b**2*g**2*t - 2*b**2*g*t + 12*b**2 + 14*b*g**2 - 416*b*g*t + b wrt b?\nAnswer: 6*b + 4*g**2*t - 4*g*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 1. Let z(o) = 2*o**2 - 6*o - 5. Determine 6*u(h) + z(h).\nAnswer: 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -d - 4. Let n = 13 + d. Let x = -24 + n. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3))**(4\/9)\/(l**(3\/8)*l**(-4)*l)*(l\/(l\/((l**(2\/7)*l)\/l))*l\/(l**(-4)*l))**5 assuming l is positive.\nAnswer: l**(36593\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*w = -148*w - 56 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 179470882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23040937303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -3*c**2 + 2*c - 1. Let o(k) = -k. Suppose 0 = 4*v + i - 24, 4*v - 7 = i + 9. Give v*o(u) - n(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -192757 plus -47014?\nAnswer: -239771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**7\/210 - 10*z**3\/3 + z**2\/2 + 15*z. Let h(l) be the first derivative of u(l). Differentiate h(y) wrt y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 1456*p - 96002. Determine o(66).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - (-22)\/10)*65\/26. Let o(d) be the third derivative of 0*d**q - 1\/75*d**5 - 1\/40*d**4 - 1\/600*d**6 + 0 + 0*d + 10*d**2. Let o(x) = 0. Calculate x.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4843, -19246, -43233, -76804, -119959, -172698, -235021?\n\"Answer: -4792*y**2 - 27*y - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3 + 7 = 0. Let w(z) = 2*z**2 + 5*z - 30. Let q be w(7). Suppose l*b + 5*g - q = 0, -5*g - 57 = -b - 0*b. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Let r = 0 - -1\/2. Which is the nearest to 2? (a) -4\/5 (b) d (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-240) + 2\/(-10))\/(59\/(-472))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/4 (b) 0.4 (c) -0.005\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0 + 3 = 0. Let h(m) = m**3 - 19*m**2 - 57*m - 183. Let o be h(22). Solve t + f + f = -o, -4*t = -l*f + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -199 - -198 - (1 + (-1 - 17))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.3 * -383.\nAnswer: -4710.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {e: 1, j: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4722150*i**3 + 3*i**2 - 13*i - 432358?\nAnswer: 28332900*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.18, -5, 5, 0.3 in decreasing order.\nAnswer: 5, 0.3, 0.18, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5386921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2312, -3445, -5334, -7979, -11380?\n\"Answer: -378*j**2 + j - 1935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**1*w\/(w\/(w\/(w\/(w\/((w**(-2\/23)*w*w)\/w)))))*(w**(-2\/7)\/w)\/(w**4\/w) assuming w is positive.\nAnswer: w**(-515\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 508311?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 370536936 - 0.32\nAnswer: 370536935.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/(-3)*(-73488)\/48.\nAnswer: 3, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3202 is divided by 2266?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-3\/7))**(9\/4)\/(w**(-15)*w*w*w**18) assuming w is positive.\nAnswer: w**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(2\/7))\/((v**(2\/5)*v)\/v*v)*(v*v*v**2)**(2\/9)*(v**(-1\/4)\/v)**21\/(v**(-6)\/(v\/v**9)) assuming v is positive.\nAnswer: v**(-34079\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44434*d**5 - d**2*z**3 - d*z**3 - 4*d*z - 2*z**3 - 12*z - 989 wrt d.\nAnswer: -888680*d**3 - 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-72)\/(-32)*(-2)\/(-6). Let l = 5\/12 - o. Let v = 7 - 15. Which is greater: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 993600 and 276690?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 2. Let y be w(8). Let p = y + -6. Suppose c - 23 = -p*q - q, 0 = -2*c + 5*q + 25. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 358\/72 - (-5)\/(-30)*3. Let f = p + -38\/9. Which is the nearest to 8? (a) f (b) -0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315*q - 1011 = 312*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 72 + -4?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 317 = 77. Suppose -2*x + 87 + 233 = 0. Calculate the greatest common divisor of x and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**21)**(32\/5)*v**(-8)*v*v\/(v*v*v*v\/(v\/((v*v*v**(1\/3))\/v*v))) assuming v is positive.\nAnswer: v**(1846\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2006, 8064, 18164, 32306, 50490, 72716?\nAnswer: 98984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h = -4. Let d = 4 + h. Let z be d\/(0 - (-2)\/3). Solve 3*j = -z*a + 3, 7 + 4 = 3*a + 5*j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 198 - 193. Let n(a) = a**3 - 6*a**2 + 7*a - 3. What is n(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*x + 5*x + 273 = 0. Suppose -x*v + 114 = -5*v - 2*y, 2*v - 111 = y. What is the remainder when v is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -142 - -435. Let m = -295 + b. What is the third smallest value in 0.1, m, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 38884138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 617 + -586. Factor -15*w**2 + 12*w**2 - d*w + 4*w - 42.\nAnswer: -3*(w + 2)*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**5\/270 - g**4\/27 + g**3\/9 - 162*g**2. Let o(j) = 0. Calculate j.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -8*w + 7. Let g be b(3). Which is smaller: g or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 1, -8 in increasing order.\nAnswer: -8, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 v, and 1 x when four letters picked without replacement from xxaavrvrahaara?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/25 and 191\/510.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2052078?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 - -0.15. Which is the nearest to i? (a) 0 (b) 0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 4\/9, 2\/5, 3.7?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2546 - 47.3946. Round a to zero dps.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -9*w**3 - 2*w**2 + 1. Let u be l(-1). Let y = -180 - -185. Solve y*c - u - 7 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*254\/(-508)*(-5)\/(15\/(-18))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8451 and 57592.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57314849 divided by 2?\nAnswer: 57314849\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 65457157301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 74*w**2 - 36*w**2 + 3*w**4 - 38*w**2 + 2*w**5.\nAnswer: w**3*(w + 1)*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 33702*r + 33705*r - 101161*r + 33756*r.\nAnswer: 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 39 + -84 + 55 - 35\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17505*f = 17527*f - 15906. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 133577.3 weeks?\nAnswer: 1346459184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*w, -2*w + 8 = -191871*d + 191866*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j - 37. Let a be x(10). Let i = a + -7. Solve i = -n + 4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 300?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 4. Let s = -0.02 - 2.98. Let x = t + s. Is -1 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2921*b + 182 + 50 - 257 - 974*b - 1139 wrt b.\nAnswer: 1947","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*q = 29, -3*q - 1 = 2*w + 6. Let z(n) be the first derivative of -n**3\/3 - 6*n**2 - 2*n - 7. Is z(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -8*r**2 - 175*r + 18. Let a be d(-22). Let j(c) = c + 11. Calculate j(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95 - -63. Let u = -2 - g. What is the highest common factor of 20 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*(1 + sqrt(143)\/sqrt(11)))**2 + -1*(5*sqrt(637) + sqrt(637)).\nAnswer: -40*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.231\nAnswer: -0.0693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115267?\nAnswer: 73, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (-15)\/(-40) - (-11205)\/72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1486 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10169\/48 + 632\/3. Find the common denominator of y and (-220)\/6*(-3)\/(-16).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -78, -67, -56, -45?\n\"Answer: 11*f - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1, 0.2, 28?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0425742 * 4.\nAnswer: 0.1702968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.15 and 7908442119?\nAnswer: 7908442118.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 71569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31790201.\nAnswer: 43, 739307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (40 + (-17 - 17))*(-2)\/3 - 2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -11647?\nAnswer: 12\/11647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 8*y + 2. Let g = 0.3 - 0.28. Sort g, y, 3.\nAnswer: y, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9909 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dv when two letters picked without replacement from dljdddvu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-5 + (0 - -1 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1889*m**3 + 3689*m**3 + 6199*m**3)*(-1 + 0 + 0).\nAnswer: -7999*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/70*4*7*1. Let q(c) = -c**3 - 4*c**2 - 6*c - 7. Let v be q(-3). Put a, -1, v in decreasing order.\nAnswer: a, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2756, -2037, -1316, -593, 132, 859?\nAnswer: 1588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-275)\/110*(-4)\/(-25))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 153 - 81. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (43 + -33 + -9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y - 310*y - 7*y + 11322 = 0 for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 i when four letters picked without replacement from {k: 4, i: 7, x: 5}.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-14\/3)\/(c*c\/(c**(-3\/11)*c)*c))**(-22) assuming c is positive.\nAnswer: c**(458\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -235, -569, -1055, -1699, -2507, -3485, -4639?\nAnswer: -5975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.17147 nanograms to kilograms.\nAnswer: 0.00000000007417147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 10*t**3. Let m be 2\/(1\/((-4)\/(-8))). What is the tens digit of d(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -75 and -94088?\nAnswer: 7056600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 4:30 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r - 135. Let v = r + 117. Is (8\/(-6))\/((-3)\/v) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -336 + 338. Suppose 0 = l*h - 2*i - 18, -14*i + 26 = 4*h - 13*i. Let a(r) = -5*r**2 - 3*r + 3. Let s(q) = 2*q**2 + q - 1. Give h*s(v) + 3*a(v).\nAnswer: -v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -470, -3576, -6682, -9788, -12894?\n\"Answer: -3106*u + 2636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -775909 not equal to 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14717?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 105779 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/17 + 62*m**3\/17.\nAnswer: 2*m**3*(m + 31)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*h + 46, -4*f = -0 - 4. Let d be (9\/(-36))\/((-18)\/h). Which is the third smallest value? (a) 0.5 (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.5 + -40.5. Let v = b + 45.9999936. What is v rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2326*n + 356. List the prime factors of d(1).\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -5\/6 (c) -3 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 9*h**2 - 9*h - 4. Let z be ((-3)\/2)\/((-3)\/20). Calculate the smallest common multiple of 20 and b(z).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5283*j - 10572*j + 5383*j.\nAnswer: 94*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185030433 and 1071?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (2 - 2))\/(-1). What is the closest to p in -2\/15, 1\/6, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - -18. Let z = c + -45. Calculate the greatest common factor of z and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*g = 4*r + 19, -g - 25 = 5*r. Let h = r - -4. Which is bigger: h or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2708 = 2*o - 3892, 2*p = 5*o - 3076. Solve 16*d - o = 84*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**4\/7 - 4260*r**3\/7 + 1127816*r**2\/7 + 3413328*r\/7 + 2281248\/7 = 0 for r.\nAnswer: -2, -1, 534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 8:49 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 21*t**2 - 19*t - 37. Calculate b(-20).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113 + 340\/3. Is 186 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3143322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a factor of 503105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1770 smaller than 1767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2 + 10*x + 1. Let t(q) = -4*q**2 - 9*q - 1. Let r be ((-66)\/(-561) - ((-220)\/(-136) - -2))*2. Determine r*t(y) - 6*d(y).\nAnswer: 4*y**2 + 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145640?\nAnswer: 2, 5, 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331*q + 353*q - 87976 = 162494. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 9*h**2 - 49*h - 165. Calculate b(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1842453614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12253859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b94 (base 15) to base 4.\nAnswer: -11211100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/75 - 2\/(-250)*65. Let z = 0.02 - -0.28. What is the second smallest value in -4, -3\/5, n, z?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*10\/8)\/(775\/62)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.2, -38\/11, 0.2?\nAnswer: -38\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -10 + 25 + 3*j - 12. Let l(b) be the first derivative of -b**3\/3 + b**2\/2 + b - 1. Let c(a) = -3*l(a) + q(a). Determine c(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/2))**(-8\/3)\/((v*v**(-2\/25))\/(v**(-4)\/v)))**(-1\/25) assuming v is positive.\nAnswer: v**(248\/625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (198\/24 + -6)\/((-6)\/(-16)). Let c be 46524\/(-33) + o\/(-33). What is the units digit of 2\/(-5) - (c\/25)\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*y + 206894 - 206894.\nAnswer: 90*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 437263433?\nAnswer: -437263433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q + 175 = -111. Suppose 12 = -9*t + q*t. Let p(m) be the second derivative of m**3\/3 - m**2\/2 - m. Give p(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnnqdnnqdnnqq. Give prob of sequence qnn.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*k, 0*j = 4*j + 5*k - 23771. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 78431898 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 0*k = -3*q, -k + q - 8 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + 0.85. Let g = 129 - 132. What is the smallest value in g, i, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, -2, 3, 1 in increasing order.\nAnswer: -4, -2, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -17*s - 33. Let d = 3 + -3.2. What is the third smallest value in s, d, -5\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7946*o = 7907*o - 936 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 98963 (b) -0.7 (c) 2\/3 (d) -0.1 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 26 - 87 + 38 + 2*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 146172*r + 1780521132.\nAnswer: 3*(r + 24362)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**2. Let c = -4 + 4. Let q(a) = a + 2. Let j be q(c). Let g(u) = 0*u + 0*u + u**2 + u**j. Give g(t(s)).\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -49*q**3 - 1958*q**2 + 81*q + 41. Give g(-40).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and -4049989.\nAnswer: -323999.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8d (base 16) in base 6?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21.1 - 21. Let k be (-2)\/24 - (-7)\/(-28). Let n = -0.5 - -0.9. Which is the nearest to k? (a) n (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + sqrt(243)*1)**2 + 2.\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 192165 = 192163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7798, 7906, 8014, 8122, 8230, 8338?\n\"Answer: 108*h + 7690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 37 + 7 + 9 + -18. What is the greatest common factor of 63 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26.7 - 27. What is the second smallest value in -3, -5\/2, a?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c - 56. Let r be m(24). Let a(n) = -n**3 + 5*n**2 + 4*n + 7. Let t be a(6). Let u be 1\/t + 2\/10. Solve -4*i = -u*i - r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2521 (b) -1 (c) -1\/74 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/3 (b) 4\/53 (c) -0.002 (d) -4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*f - 7711 = -79*f. What is the greatest common factor of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -3) + 4 - -24*481\/(-2184).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 3*m + 0*m)*(0 + 7*m**2 + 0) + (68*m + 100*m - 20*m)*(3*m + 2*m**2 - 3*m).\nAnswer: 310*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -14) + -71 + (115 - 156)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 282, 3161, 7960, 14679, 23318, 33877, 46356?\n\"Answer: 960*g**2 - g - 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and 4.43459.\nAnswer: 3.547672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -154*r**2 + 2 - 37*r**4 - 70*r**2 + 3*r**5 - 12*r**5 + 8*r**4 wrt r.\nAnswer: -540*r**2 - 696*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14 - 53*a - 63*a - 131*a + 43 - a wrt a?\nAnswer: -248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588083?\nAnswer: 588083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*3.9774\nAnswer: 1.9887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhiihihiih. What is prob of picking 1 h and 3 i?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10169\/5, -1\/3, 10?\nAnswer: -10169\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v**2 - 4*v + 4*v + v - 4 + 3. Let r be t(2). Let m = 39\/2 + r. What is the closest to m in 1, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvvvvvuvvvvv.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 779313*w*z + 863491*z wrt w.\nAnswer: 779313*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*b = n - 446, 3*n - 448 = 4*b. Let x = n + -103. Calculate the greatest common factor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*k**2*r*t**2 + 3*k*r - 219*k*t + 3*r*t - 88435*t**2 with respect to k.\nAnswer: -106*k*r*t**2 + 3*r - 219*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4.157646 minutes?\nAnswer: 249458760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1739853624?\nAnswer: 2, 3, 72493901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 51 - 7. Suppose -m = -3*f - 2. Calculate the greatest common factor of f and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7256, 7207, 7136, 7049, 6952, 6851?\n\"Answer: f**3 - 17*f**2 - 5*f + 7277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 13*c**2 + 2*c + 33. Let h be w(-13). Solve 5*n - h = -2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 4*w**2 - 2. Let b be o(-2). Let l be 5\/b - (-4054)\/(-100). Let u = l + 1817\/50. Find the common denominator of u and 43\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((3*-2*sqrt(7) + -1)**2 + 4 - ((sqrt(693)*2)\/sqrt(11))\/(sqrt(900)\/sqrt(4))).\nAnswer: 58*sqrt(7)\/5 + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 112964 greater than or equal to 112965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 324 from -0.3.\nAnswer: -324.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/2 + 13\/(-9). Let p = 2811 - 2811. Does i = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/17790 and -34\/80055?\nAnswer: 160110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1. Let y(p) = -2. Let k(b) = 3*m(b) - y(b). Let z(g) = -g**2 + g - 1. Let j be z(0). Let s(r) = r + 3. What is j*s(i) + 3*k(i)?\nAnswer: -i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9006*v**3 - 8*v**2 - 130*v + 1?\nAnswer: -54036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0 + 1 + 3)*(2 - 1 - 3).\nAnswer: 2*k - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3961 and 28193?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -5*w**3\/12 + 470*w**2 - 3755*w\/4 + 768. Factor n(a).\nAnswer: -5*(a - 751)*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 6. Let c be s(6). Let l = c - -5. Suppose 0 = l*p - 13 - 7. Solve -3*q + p*h - 19 = 0, 0*q - 3 = q + 2*h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 47*q - 37*q + 36*q)*(q**2 - 5*q**2 + 2*q**2) as t*q**3 + a + n*q + p*q**2 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 175, 319, 463, 607, 751?\n\"Answer: 144*g + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-36)\/(-20) + -2). Let s(b) = 16*b + 21. Let c be s(0). Suppose -5*d - t + 39 = 2*t, -3 = -3*d + 5*t. Solve -a*k + d = c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -580.\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-9))\/((2\/8)\/(261\/(-696)))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 106 or -122?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 2*w - 43, -5 = -3*h - 6*w + 2*w. Let n(l) = l**3 - 6*l - 3*l - h*l**2 + 15*l. Let v be (-2)\/4*(-7 + -5). Calculate n(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -116*d - 64*d + 10*d - 20. Let o be z(-6). Round o to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.576999 centuries to months.\nAnswer: 7892.3988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-834)\/4)\/(10800\/120) and 103\/966?\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 3. Let s = -17 + 29. Suppose 5*l - s = -w + 4*w, -5*l = 5*w - 20. Put w, i, 2 in decreasing order.\nAnswer: 2, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590 a factor of 90729731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 655*s - 660*s + 4*n - 1, 3*n = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18607654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((10\/(-15))\/(50\/15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -29 - (-20 + 30)) + -6.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8263*r + 25 - 4129*r - 4132*r. Give o(-18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7228259786?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1792619 + 705*f**2 - 1792619 to the form t*f**2 + q*f + x and give t.\nAnswer: 705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/((-330)\/(-138)))\/((-5)\/(-125)*5).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 160 + 1?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 - -1 - (-18 + 14))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9.58919 minutes?\nAnswer: 575.3514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27 and -2408?\nAnswer: 65016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -15*j**2 - 7*j + 7. Let f(n) = 2*n + 6. What is 2*f(y) + g(y)?\nAnswer: -15*y**2 - 3*y + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-1 + -1 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1121227 + 54*t - 1121227.\nAnswer: 54*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 586789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 38574.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 2*b - 43, -47243*z + 47244*z - 3*b = 53 for z.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541195.39 - -3?\nAnswer: 1541198.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/284, 0.5, -7 in descending order.\nAnswer: 0.5, -13\/284, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 - -62. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 4*f**2 + f + 5. Suppose -4*l - a - a = -6, 0 = -l - 5*a + 24. Let s be (-2 - l)*(-1 - 3). Does 5 divide v(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -3. Let o = -7 + 3. Let i = 0.08 - -0.92. Put g, i, o in increasing order.\nAnswer: o, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49856489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.2, -5\/9, 0.0313, -2\/9, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14311 (base 8) to base 2\nAnswer: 1100011001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*u + 25, 3*u + u - 4*f - 8 = 0. Suppose -3 = 19*k - 22*k. Let b(a) = -a**2 - 5*a + 102. Let q be b(-13). Put -1, k, q, u in decreasing order.\nAnswer: u, k, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, s: 1, a: 4, d: 1}. What is prob of sequence ks?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -1.74\nAnswer: -0.1218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-4) + (-6)\/(-12))\/(-1). Let i = -0.5 + 1. What is the closest to j in -0.5, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvookvv. What is prob of picking 1 v and 3 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12801518 (base 9) in base 7?\nAnswer: 104466614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 - 23. Suppose -h + 9 = -y - 14, -2*y + h - n = 0. Let l = 25 + y. Solve -2*a + 6 = 2*f, -l*a + 5*a = -4*f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6027 + -6019. Solve 4 = 2*x + i, -78*x = -82*x - 3*i + j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 228 + -227.535. Let q = m - 0.38. Round q to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -41124?\nAnswer: -41120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 554?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 5, 1\/6, 0.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**3 - 4*f**2. Let p(z) = 3*z**3 - 3*z**2. Let n(m) = 4 + 2*m + 3*m - 4*m. Let c be n(0). Let o(u) = c*h(u) - 5*p(u). Factor o(t).\nAnswer: t**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.43 + -2.16. Let b = 20564466.72999823 - 20564466. Let p = b + m. What is p rounded to seven decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 123*c**2 - 2139*c - 298. Let v be w(102). Solve 4\/3*t**4 + 20\/3*t - 20\/3*t**3 - v + 20\/3*t**2 = 0 for t.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -5*z - 21, 4*y - 17*z + 15*z + 6 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*p + 17*p + 39057737 = -50*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 320014?\nAnswer: -320023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 1826 - 1177. Calculate the greatest common factor of m and 308.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z**3 - 925*z**2 + 38515*z - 522. Determine u(35).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from teyyetyyeyeytetyetee. What is prob of picking 2 e and 1 y?\nAnswer: 49\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.56 to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*h + 27 = 6, -h = -4*p + 15. Suppose 0 = -3*d - t + 5 + 2, -5*d + 17 = 3*t. Solve 2*x - 11 = -o, p*o + 1 + d = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -792*v + 4005*v - 789*v - 2431*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + q**2 - 1. Suppose 2*r + 7 = -13. Let u be (8\/(-5))\/(4\/r) - 3. Let p(h) = h - 170 + 169 - 3*h + h**3. Give u*d(n) - p(n).\nAnswer: -2*n**3 + n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2*(-11 + 5) + 55. Suppose -b*d = -50*d - 24. Solve 5*j - 40 = 5*y, -d*y = -0*y + 4*j + 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 32 = 3*m + 7, 4*m - 44 = 4*a. Let v be (-1)\/((-6)\/a)*4\/(-2). Solve p = 3*b, -3*p + v = -b + 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 160.8 - 152.8. What is the second biggest value in 1, -26, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*o**5 + o**4 + 597*o**3 - 4167907*o**2 - 2 wrt o.\nAnswer: 1200*o**2 + 24*o + 3582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 624856883.\nAnswer: 7, 89265269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*f - m - 16, -10 = -5*f - 5*m. Suppose 5*t - 727 = -s, -t + f*s = s - 155. Is 35 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226 + 129 - z**2 + 97.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1274*p**2 - 129*p + 44*p + 40*p + 45*p in the form g*p + y + l*p**2 and give l.\nAnswer: 1274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 284 and 56?\nAnswer: 3976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4\/4 - 52*d**3 - 1071*d**2\/4 + 639*d\/2 = 0. What is d?\nAnswer: -6, 0, 1, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -117323721*t**3 + 246290382*t.\nAnswer: -703942326*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 44 and -40635.3.\nAnswer: -1787953.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1, 2\/17, 4, 236?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 123?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.88 - -0.12. Let d = 0.053 - 1.978. Let u = d + -0.075. Sort -2\/3, u, 1, m in decreasing order.\nAnswer: m, 1, -2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -43, -87, -135, -187?\n\"Answer: -2*a**2 - 38*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2634 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (2 + -26 + (4 - (5 + -5)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-14) + (-2)\/7. Let o = -1060 + 1063. Which is the closest to y? (a) o (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -29*t**7\/5040 + t**6\/720 - t**5\/30 + t**2. Let y(m) be the third derivative of v(m). Is 15 a factor of y(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 376.2 - 414. Let n = -8.5 - -50.5. Let r = n + g. Round r to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**3 + 7*t**3 + 11*t**3 + 11*t**3.\nAnswer: 18*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 14*z**2 - 14*z**2. Let s(r) = -27*r. What is c(s(m))?\nAnswer: -729*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 19*n + 13. What is the tens digit of w(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 12*q**2. Let j(z) = -z. Suppose -21 - 7 = 4*c. Suppose -92 = -16*s - 12. Let t(o) = -o. Let n(p) = c*t(p) + s*j(p). Determine u(n(v)).\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588*v - 6950 = 583*v - 5*r, 3*r = 2*v - 2740. What is the remainder when v is divided by 63?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 11023110?\nAnswer: -11023121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -869*u**2 - 81071 + 81071 - 2*u.\nAnswer: -869*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 - 143\/3. Let s = 177\/2 - 87. Which is the closest to p? (a) s (b) 4\/9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -423 + 9343\/22. Find the common denominator of p and -27\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-176))\/(2\/(-4))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29838.051 + 29876. Let m = -0.048 + -37.952. Let n = m + h. What is n rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8*(-1 - (-3)\/2). Suppose w = 4*h + 4 + 1, 3 = -u*h - w. Find the common denominator of -5\/12 and 26\/1 - h\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -6, 4 in increasing order.\nAnswer: -6, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.2 (c) -1\/11 (d) 3\/4 (e) -0.19 (f) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1276? (a) -1 (b) -5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63548 is divided by 3099?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 588764*d**4 + 2*d**3 + 3*d**2 - 4093279*d wrt d.\nAnswer: 7065168*d**2 + 12*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*g = -57*g + 252 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, l: 4, u: 7, e: 4, i: 4}. Give prob of sequence ulee.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -116, -249, -1, 1, 0 in descending order.\nAnswer: 5, 1, 0, -1, -116, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -10992*f + 38*f**3 + 2018*f + 10*f**3 - 46*f**3 as q*f**3 + a*f**2 + s*f + l and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-200 - 14153*c + 14155*c + 3*c**2 + 192)*(1 - 2 - 1)*(-6 + 4 - 1)*(2*c - c - 2*c)*(2*c + 3 - 3).\nAnswer: -36*c**4 - 24*c**3 + 96*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 518257893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y = -5474 + 1204. Let t = y + 336. What is the greatest common factor of t and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 4*b + 800000. Round b to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 301784 and 5706?\nAnswer: 2716056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -165*s**2 + 3619*s + 64. Give o(22).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 8*l + 55. What are the prime factors of x(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 40, 60, 80, 100, 120?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 11607832.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*s + 94*s + 400 = 26*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from avwahgb. Give prob of sequence wgah.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 450058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 12:00 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503684 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**3 - 4*k**2 - 173*k + 680. What is the remainder when 4629 is divided by q(4)?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3500037 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*z = -9, 3*f = -0*f + 2*z - 6. Let w = 4 - f. Let x = -1 - 2. What is the closest to 0 in w, -0.5, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 7*l - 2*l)*(-18453*l**2 - 107471*l**2 - 969*l + 8023*l**2 + 509*l + 460*l).\nAnswer: -235802*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c - 4*c**4 - 16*c**4 + 0 - 7*c**4 + 1 + 2*c**2 as m + x*c**3 + p*c**4 + v*c + z*c**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 51 = -12. Suppose o - 31 = -h. Calculate the highest common divisor of o and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(3\/5)\/w*w)\/w**(1\/54))\/(w\/(w**(-31)*w)*w\/(w\/(w\/(w\/w**15)))) assuming w is positive.\nAnswer: w**(-11993\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {s: 3, u: 13}.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1784 - 14*m**3 + 1784 + 45664*m + 45656*m - 91320*m.\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 4 = -39. Let k be 204\/o - (-16)\/(-80) - 1. Let c = k + 39. What is the closest to -1\/2 in 1, c, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (8 - (0 + 8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 5*z - 0*z + 38, 3*z - 6 = 0 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/12)\/(20175\/484200)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 2383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 168449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 257, 1, 26 in decreasing order.\nAnswer: 257, 26, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 23 = -38*n, 0 = -4*t - 2*n + 14 - 8 + 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1179394751 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 4*i - 3. Let d be n(-5). Suppose x - 4*v - 528 = -3*x, 0 = 2*v + d. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -19. Let v(b) = -3 - 3*b**u + 3*b**2 + 4*b**2 - 2*b**2. Let p be v(-2). Solve -11 = -p*d + 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**3 - 5*f**2 - 2082*f - 5. Let z(a) = a**3 - 2*a**2 - 1042*a - 2. What is 2*k(x) - 5*z(x)?\nAnswer: x**3 + 1046*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 212\nAnswer: -5\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.134 + -0.104. What is the second biggest value in 2, t, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*v + 0*v**2 - 21*v - 3*v**2 + (-4*v + 3*v + 2*v)*(3*v + 2*v - 6*v) in the form g + b*v**2 + n*v and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2074443 divided by 571.\nAnswer: 3633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-6) + 2)*-2. Let t = q - 0. Let a = t + 15. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -457 - 126?\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 6*i. Suppose i*x - 16 = -2*x. Calculate the smallest common multiple of 5 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18944287 divided by -241.\nAnswer: -78607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -541*g = -327*g + 10868 + 2400 for g.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -12073*k - 43423. Give f(-4).\nAnswer: 4869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -16\/75, -0.2 in decreasing order.\nAnswer: -1\/6, -0.2, -16\/75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyw when three letters picked without replacement from {y: 3, w: 13}.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l = 19*l - 459 - 1243 for l.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 42 - 5*c - 14 - 15 - 14. Let t(k) = 220*k + 147. Let r(d) = -t(d) - 5*u(d). What is the derivative of r(z) wrt z?\nAnswer: -195","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2885 = 25. What are the prime factors of m?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7445, -14662, -21879, -29096?\n\"Answer: -7217*x - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1398?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138510 and 795?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8141 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 266 divided by 2\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 20 = 1. Suppose -347 = 2*a - u*a. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6279*r*s**2 - 4837*s**2 with respect to r.\nAnswer: 6279*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.089, 126, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1155 - -1154.999299. Round x to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -8004585?\nAnswer: 23\/8004585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -133997?\nAnswer: -133999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.324? (a) 2 (b) 2\/95 (c) 1\/11 (d) -2\/9 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61587872 and 6256.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 577*j**3 + j**2 - 4*j**2 - 577*j**3 + 22*j**5 wrt j.\nAnswer: 1320*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 d when three letters picked without replacement from mqqdcd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.4, 0.01, 28, 0 in increasing order.\nAnswer: 0, 0.01, 0.4, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in 1, -3\/4, 0.5, 13, -2.7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4885596 divided by 542844\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*h - 6968 = -97*h. Suppose -4*k = -h - 21. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**3 + y**3 + y**3 + (y - y - y)*(y**2 + 3 - 3))*(-3*y - 2*y**2 + 3*y).\nAnswer: 10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3))**(-19))**(-1\/5) assuming y is positive.\nAnswer: y**(-38\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d - d**2 + 0 + 2 - 3 - 4*d. Let c(z) = -3*z**2 - 6*z - 6. Suppose 3*f = 3*u - 4*u - 4, -4*u + f = 3. Let n = -184 - -190. Give n*i(b) + u*c(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(147) + sqrt(147))*2)**2.\nAnswer: 2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 11 = -5*z, z = -5*v - 3*z + 31. Suppose 4*b - t - 484 = 0, b - v*t - 2*t - 140 = 0. Does 31 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 8.5 (c) -3.2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20126 and 36397177.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 1\/12*d**4 + 0*d**3 + 0*d**2 + 0 - d. Let w(s) = 608*s - 307*s - 306*s. Calculate o(w(n)).\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 18 = -h, -y + h + 7 - 1 = 0. Solve 0*s - 19 = -g - y*s, 13 = 3*g + s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -100\/11, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255818 is divided by 127903.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 10:12 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21044 or 413?\nAnswer: -21044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l - 42*l + 3*c = -15, 0 = -4*l - 3*c - 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (-1 + (-6)\/(-21)). Which is the closest to v? (a) -1\/5 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1843 + -1839. Solve 4*r - 6*r + 2 = g*n, 4*n + 1 = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352027 is divided by 120.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26316 - 205253?\nAnswer: -145634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 30*a + 44*a - 82*a. Let d(x) = -4 + 11 - 10*x - 3*x + 9*x. Let s(v) = -3*v + 5. Let p(o) = -5*d(o) + 7*s(o). What is p(w(j))?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3527, -3523, -3507, -3473, -3415, -3327, -3203, -3037?\n\"Answer: q**3 - 3*q - 3525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2980.9 - 2982. What is the nearest to -0.1 in l, -3\/4, 9, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233231331232 + 10?\nAnswer: -233231331222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -103200 (base 4) to base 12\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6447490.\nAnswer: 2, 5, 7, 92107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-11) - -1*(-8)\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28, -45, -62, -79, -96?\n\"Answer: -17*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (644\/(-42))\/(-23)*(-3102)\/1222?\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0025651 to 4 dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 3. Let u = -5 - -8. Suppose u*g - 11 - 10 = 0. Solve -1 = x*p + g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -310*g**3 - 42*g**2 + 1487*g wrt g?\nAnswer: -1860*g - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -118.9 in decreasing order.\nAnswer: 5, 2, -118.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 58 + 58 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 5*y + 7. Suppose -4*f - f - 40 = 3*w, 3*f + 5*w + 40 = 0. Determine d(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - a + 1. Let x(t) = -t**2 + 2*t - 4. Let n(p) = 2*j(p) + x(p). Let f be n(0). Put 1, f, 3 in decreasing order.\nAnswer: 3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -152 - -149. Which is smaller: o or -18\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**7\/840 + o**6\/90 + o**5\/60 - o**4\/8 - o**3\/6 + o**2. Let v(s) be the first derivative of c(s). Determine v(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -2*n**2 - 2\/3*n**3 + 0*n + 13. What is the second derivative of h(v) wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 5)*(0*j**3 + 0*j**3 + j**3) to n + p*j + y*j**3 + s*j**2 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50650 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) -721 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (-20)\/(-6) - (-120)\/9. Suppose -52 = -p*k + 26. Differentiate -k*o + 6*o - 12*o**4 - 28 with respect to o.\nAnswer: -48*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 491841 + 491842 - 1475510 + 10*x + 491827 + 4*x.\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-5))\/(1\/5). Suppose u*g - 857 = 688. What is the units digit of 3\/(-1 + g\/500)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/4)*i*i**5)\/(i*i**(-1))**(-4\/13))\/(i*i**(-1\/9)*i*i**(2\/9))**(3\/22) assuming i is positive.\nAnswer: i**(787\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 3) + -4 - -9. Suppose -20 = -u*l + 10. Suppose -54 = -l*i + 18. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 707*n**2 - 3*n**4 - 1 + 705*n**2 + 1 - 2*n**3 as f*n + q*n**4 + a*n**2 + i*n**3 + r and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.3 in -1, 4, -2\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 0*m + 0*m**3 + 0 + 9*m**2 + 0*m**6 + 5\/42*m**7 + 1\/5*m**5 + 0*m**4. What is the third derivative of p(o) wrt o?\nAnswer: 600*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6823 divided by 8001\nAnswer: -6823\/8001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 7 = -3*d, -25*u + 25 = -46*u - d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**9\/1008 - b**6\/90 + 3*b**4\/4 + 7*b. Let d(p) be the third derivative of o(p). Find the second derivative of d(c) wrt c.\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -17*h + 1. Let t(z) = 7*z**2 - 41487. What is x(t(s))?\nAnswer: -119*s**2 + 705280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18673 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3479 divided by -978?\nAnswer: 3479\/978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.01763 times 1.2\nAnswer: -0.021156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*i - 4*y - y, 4*i - 17 = 3*y. Let r(g) = 5*g - 5. Let j(b) = -6*b + 6. Let k(q) = 4*j(q) + 5*r(q). What is k(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 424 * 285146\nAnswer: 120901904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 19 - 10) + (-2 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -332035 + 4306?\nAnswer: -324426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/5, 2.31, 392, -5 in decreasing order.\nAnswer: 392, 2.31, 2\/5, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 377874023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 214526 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 e when two letters picked without replacement from eseeeuussseeu?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2. Let l(v) = 4*v**2. Suppose -5*d + 2 = -r, 0 = -r + 2*d + 3 - 5. Calculate r*l(b) + 5*x(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 18*v**2 + 8*v + 1. Let a be z(-3). Suppose 3*q + 14*y - a = 19*y, q + 4*y - 18 = 0. Calculate the remainder when 84 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, n: 2, a: 2}. Give prob of picking 2 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 18 + 6)*(3*z**3 - 4*z**3 + 2*z**3) + 415*z**2 - 415*z**2 - 24*z**3 in the form v*z**3 + y*z + s*z**2 + u and give v.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -52 + 101 + (3 - 190).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/((-2)\/3*(-36)\/(-96))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2327?\nAnswer: 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -28392.\nAnswer: -28387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10112 - -1220000100?\nAnswer: 1212212211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 take away 7923922208351?\nAnswer: -7923922208353.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12657247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49979, 96227, 142475?\nAnswer: 188723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-30) - (-4)\/6. Suppose 0*v - v + 2 = 0. Is p at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/15)\/(((-10360)\/21210)\/(-148))?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at most 20\/76427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, 0.66, 2\/9.\nAnswer: 2\/9, 0.66, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-five eighths of a milligram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4444 + -4438. Let l(w) = -w**3 + 8*w**2 - 12*w - 11. Give l(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35486568*m**4 + 252684461.\nAnswer: -141946272*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.7 - 6.3. Let j = 5 + h. Let k = -7 - j. What is the third biggest value in 0.1, -3\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61887?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(-2\/3)))**(-1\/27))**(1\/2) assuming l is positive.\nAnswer: l**(1\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n**4 + 4*n**3 + 10*n**2 - 8*n - 4. Suppose 0 = 2*p - 0*o + 2*o, -3*o + 8 = p. Let w(l) = -l**4 + l**2 + 1. Let j(d) = p*w(d) + s(d). Factor j(k).\nAnswer: -2*(k - 2)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2 + 1. Let m be w(1). Is (m*25 - 3)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1261345118, 1261345119, 1261345120, 1261345121, 1261345122?\nAnswer: 1261345123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, t: 7, j: 1}. What is prob of sequence tttt?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*17381.\nAnswer: 208572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -2\/17, -3, 128.1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72 - -80. Let z be (-101)\/(-5) + x\/(-40). Solve -6*j = -j + z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u. Let h be z(-1). Let s = -1\/3 - 1. Put 5\/2, s, h in increasing order.\nAnswer: s, 5\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqhqikkkwikiqkkkik. What is prob of sequence wi?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-32)\/144 + 345\/(-27). Let n be ((-8)\/2)\/(j - -11). Solve 0 = 2*o + 3*z - n, o + z + 2*z - 7 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435.4946 days to microseconds.\nAnswer: 37626733440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 + (-4 - (-7 - -4)) is divided by 9 - (-6)\/(-4)*(-40)\/(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 589 = 144*h - 995 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12864)\/(-128) - 101)*(2 - -1 - -79)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.247 - -0.017. Let b = 9 + -9.03. Let x = b - h. Sort -0.4, -0.2, x in ascending order.\nAnswer: -0.4, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q + 6*q + 36392*q**2 - 3*q - 7*q - 36394*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 6. Suppose -2*b + q = -10, -3*q = -b - 0*q + 10. Let n(o) = -o - 5. Give b*g(s) + 5*n(s).\nAnswer: 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**4\/17 + 196*r**3\/17 - 5432*r**2\/17 + 45936*r\/17 = 0. What is r?\nAnswer: 0, 18, 22, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67949752*w**3 + 22 - 135899498*w**3 + 67949749*w**3.\nAnswer: 3*w**3 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 4*t**2 + 7*t - 4. Let a(p) = -p**2 + 15*p + 59. Suppose 0 = -4*g - 3*q + 78, 0*g = -4*g + 2*q + 68. Let x be a(g). What is o(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -736.6 and 71068890.\nAnswer: 71068153.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-40) - 468\/210\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 k when four letters picked without replacement from qqkqqkqqqkqqkqqqqk?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -20115, 0, -0.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {j: 3, z: 4, i: 6}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 8:29 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 7177 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2 + 33*c + 39. Calculate j(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 9:34 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 531 a factor of 25242538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -10*o. Let u(w) = -5*w. Let a(j) = 11*u(j) - 6*y(j). Let p be a(1). Solve 3*f = -f + 5*x + 6, p*x + 9 = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 7*x**2 + x + 2. Let u be g(-7). Let a(p) be the third derivative of p**5\/60 + p**4\/8 - p**3\/6 - 80*p**2. Give a(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114505641 (base 7) to base 6\nAnswer: 413050433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*a - 36 = -4*w, -3*w + 27 = -2*a. Solve -y - w = -s, -2*s - s = -2*y - 23 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*x + 6 + 20, 0 = -f - 4*x - 1. Suppose 0 = 4*i - 2*z - 216, 5*z - 202 = -3*i - 27. What is the greatest common divisor of i and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c (base 16) to base 7.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 25 - 16 = 0. Are 3 and h equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/4 (b) 517 (c) -2\/23 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2739087332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65.52 - 0.48. Let q = 157011 + -157076.9685. Let x = q - i. Round x to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b5 (base 16) in base 15?\nAnswer: 1e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -18. Let q = -24 + 34. Let i = y + q. Solve -12 - 4 = i*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-84)*9*8\/21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 - -114112?\nAnswer: 114142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 3*t**4\/4 + 5*t**3 + 12*t**2 + 12*t + 233. Suppose a(x) = 0. Calculate x.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 4:39 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*f - 2*f + 2*f)*(0 - 27 + 2)*(-52*f - 24*f + f) + 4*f**2 + 0*f**2 - 2*f**2 as z + w*f + p*f**2 and give p.\nAnswer: 9377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + -9. Let r = q + 102. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3065, 6173, 9359, 12659, 16109, 19745?\n\"Answer: 6*o**3 + 3*o**2 + 3057*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, 1145, 4 in decreasing order.\nAnswer: 1145, 115, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 610029247?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(((-21)\/(-12))\/(-7)). Sort o, 13, 3.\nAnswer: o, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63500 divided by 1?\nAnswer: -63500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + -1 + 2 + 6. Suppose 2*q - 14 = -t. Solve -2*r = 4*z - 16, -q*z + 7*r + 20 = 3*r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 * 6607.8\nAnswer: -9911.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1033303 - 1?\nAnswer: 1033302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*sqrt(832) + 4)**2*-6 + (3*(2 + (sqrt(832) - (sqrt(832) - (sqrt(832) + -1))) + 2))**2.\nAnswer: -396879 + 3888*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 317 (base 9) to base 15.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -139\/1089 + 2\/121. Which is smaller: -0.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(19) - (sqrt(38)*-2)\/sqrt(2) - ((sqrt(228)\/sqrt(4))\/sqrt(3))**2) + 1.\nAnswer: -20 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 78\/65 + 642\/15. Let y be -2*(6 - 4)*-11. Is j at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.5323 millennia in months?\nAnswer: 294387.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**4 - 289*j**3*k**2 - 13*j**2 - 3*j*k + j - 3595*k**2 + 4 wrt j?\nAnswer: 24*j**2 - 1734*j*k**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1167 and 97250?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3523\/5962)\/(3\/66).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8\/9 (b) 0.5 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.04 - -0.04. Let u be (-4 - (-160)\/36)*(-10)\/40. Sort s, 2\/3, -0.03, u in decreasing order.\nAnswer: 2\/3, -0.03, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 - 514 = -5*f. Calculate the highest common divisor of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/48139 and -53\/414.\nAnswer: 866502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/37434913 and -24\/1157.\nAnswer: 486653869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - b**2 + 3*b - b - 3*b)*(-1934*b + 992*b - 2 - 2227*b + 2*b**2) as v*b + t + h*b**2 + r*b**3 + y*b**4 and give r.\nAnswer: 3167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(234\/(-10))*(-11)\/((-330)\/(-738))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c + 3*o, -o = -4*c - 14. Let d be (4\/c)\/(2\/(-6)). Let l(n) = n**2 - 2*n - 4. What is the units digit of l(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -171, -166, -159, -150, -139?\n\"Answer: m**2 + 2*m - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2933 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -17*b + 206. Let p be h(12). What is the third derivative of 128*i**4 - 11*i**p - 31*i**4 + 1 + 12*i**2 - 4 - 2 wrt i?\nAnswer: 2328*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - 8*u = 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3279717*q + 2. Let z(n) = -n**2 + 11*n - 13. Let g be z(10). Let w be l(g). Suppose -3*d + 539153 = w. Round d to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-519286 - 4186*c + 519286)*(3 - 2*c**3 - 8 - 3*c**2 + 7) as l*c**2 + h + p*c + j*c**3 + k*c**4 and give j.\nAnswer: 12558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i**4 + 206 - 2*i**3 - 206)*(2*i - 39*i - 11*i) + 1 + 2*i**5 - 1 + (1 + 2 - 1)*(-i**5 - i**5 + i**5) - i**5 + i**3 - i**3 + 2*i**5 - 4*i**5 + 4*i**5.\nAnswer: 337*i**5 + 96*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 6*u**2 - 13*u + 20. What are the prime factors of i(8)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 68\/119*39\/12. Which is greater: d or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 2:24 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 0 + -1 - -25. Let l = 27 - 22. Suppose 4*f + 3 = -3*m, -l*m - 2*f = -5 - 4. Solve 4*w = 4*d + s, -2*d - 12 = -m*w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6455, -13033, -19801, -26759?\nAnswer: -33907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 1396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -263\/63 - -35\/9. Let n = 1.37 - 0.41. Let t = 0.04 + n. What is the closest to -0.1 in -2, t, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128828 divided by 4?\nAnswer: -32207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, d: 8}. What is prob of sequence ddd?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 52145*p**4 + 2*p**3 - p**2 + 3*p + 3001245 wrt p?\nAnswer: 208580*p**3 + 6*p**2 - 2*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.011885 + -0.0211. Round w to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -218*w - 2. Let r(v) = -v. Determine 5*r(i) - z(i).\nAnswer: 213*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -2*g - 539. Let y = g + 12. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + 2*h + 0*h + (2 + 0 - 1)*(-2 + 2 - h))*(2 + 1 - 1) - 4051220 - 2372*h + 4051220 to x + w*h and give w.\nAnswer: -2370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 4 = 0, -176*d = 4*u - 171*d + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16262 - -5?\nAnswer: -16254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-154)\/4)\/((-11250)\/(-22500)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 1 = 5*f, -4*f = 7*u - 3*u - 4. Let m be (f\/2 - 9\/(-6)) + -1. Solve -3*a + 5*a = m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91 divided by 3\nAnswer: 91\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.28? (a) -8\/7 (b) 62.681 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*n - 5*p, 4*n + 4*p - 1 - 3 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 + -3.91. Let m = 3 + -4. Let h = -2 - m. What is the closest to h in 3, 5\/3, w?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u + 5 + u**3 - 6*u**3 + 0*u + 13*u**3. Let b(n) = -2*n**3 - 1. Let q(g) = 5*b(g) + c(g). Let r(j) = 25*j**3 - 35*j. Determine -35*q(y) - 3*r(y).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v + 2*v)*(-9*v + 9*v - 6*v).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13908, 13913, 13926, 13953, 14000, 14073, 14178?\n\"Answer: z**3 - 2*z**2 + 4*z + 13905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**6\/30 - 2*l**2 - 4*l. What is the first derivative of i(u) wrt u?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.468 + -0.468. Let y = 23\/91 + -7\/13. What is the nearest to 0 in 2, y, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*s + 3*s. Let i(a) = 3*a**3 + 2*a + 77 - 83 + a - 5*a**s + a. What is the hundreds digit of i(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -588*l**4\/5 + 2251508*l**3\/5 + 51379632*l**2 + 146247504*l\/5 + 4173248 = 0.\nAnswer: -331\/3, -2\/7, 3940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1915620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1191 smaller than -1196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 2*m = -8*t + 92, -2*t + 96 = -2*m. Suppose t*v + 25 = 119. Solve y + 5*a + 20 = 0, v*y = 3*y - 4*a - 16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -71*t**4\/12 + 333*t. Let n(l) = -5*l**2. Calculate u(n(v)).\nAnswer: -1775*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 29. Let h be 1 + (-20)\/(-5) - 3. Suppose -2*s + 19 = 3*d, 15 = d + 2*s + h. Sort f, d, 17.\nAnswer: f, d, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -16*z**2 - z + 1. Is w(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(5700 + 1858 + 2517 + 1919 - 684)*(2*w + 2*w - 3*w).\nAnswer: -22620*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r + 2. Let z be m(1). Suppose -z*x + 38 = -12. Let o(y) = 5*y - 43. Calculate the remainder when 32 is divided by o(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**2 + 4*j - 8. Let q be v(-6). Suppose -2*b - 2*b + q = 0. Solve -2*x = s + 12, -3*x + 6*x = -2*s - b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -448337 at least -448401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, d: 1, e: 3, b: 1, m: 3}. Give prob of picking 1 b and 2 y.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 + 40. Let g = -12 - p. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(176) + -3 - (sqrt(176) + 3)*2 - (0 + (sqrt(176) + 2 - sqrt(176)) + sqrt(176) - (sqrt(176) + sqrt(176)*2*4)))**2.\nAnswer: -440*sqrt(11) + 4521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5205 and 17697.\nAnswer: 88485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 11:12 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 501858767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2. Let i(t) = t**2 + 737. What is m(i(k))?\nAnswer: -k**4 - 1474*k**2 - 543169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.9 (b) 5 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12410, 24821, 37232, 49643, 62054, 74465?\n\"Answer: 12411*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + -59 - (-21)\/27?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 114\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3869 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - p = -2908, 5837 = -3*f + 5*f - 5*p. Let j = f - 1997. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/26*70\/(-28).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4\/63 (b) 1\/7 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231825763?\nAnswer: 13, 23, 53, 14629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62634 by 73.\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2045?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y - 47. Let k(h) = -h. Let n(i) = 3*d(i) + 3*k(i). What is the units digit of n(-36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 9*m + 43. Let a(v) = 6*v**2 - 45*v + 216. Let f(i) = -2*a(i) + 11*d(i). Let u be f(-18). Let x = 21 - u. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**3 + 3*a**3 + 2*a**4 + (-6 - 2*a + 6)*(-2*a + 2*a + a**3) - 8*a**4 + 17 - 17 to p*a**4 + z + q*a + c*a**3 + h*a**2 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 - 33*p**3 + 24*p**2 + 60*p.\nAnswer: 3*p*(p - 10)*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.046395267 and -110.\nAnswer: -110.046395267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**4 - 3*b**3 - b - 1. Let f(p) = -2*p**4 + 2*p**3 + 6*p**2 + p + 1. Let x(t) = -3*f(t) - 3*s(t). Solve x(m) = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - x)*(-706 - 418*x**4 + 706) - 2*x**5 + 3*x**3 - 3*x**3.\nAnswer: 416*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 0.4, -2685\/7, 56?\nAnswer: -2685\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**4 + 13384*o**3 = 0.\nAnswer: -3346, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -40382?\nAnswer: -201910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-2)\/(-4)*-1)*(-490)\/70?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109 + -108.99999881. What is c rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48466 and 4928?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 5*v - 6. Let l be k(6). Suppose 3*b - 40 = r - 0*r, -5*r - 20 = l. Suppose 4*q = b - 4. What is the remainder when q is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 206246 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114170, -456624, -1027354, -1826354, -2853618, -4109140, -5592914, -7304934?\nAnswer: -9245194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -19 - 6) + -13.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 6*o**2 - o + 1. Let m(h) = h**3 + 12*h**2 + 11*h + 3. Let l be m(-11). What is the units digit of j(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155 divided by -40\nAnswer: 31\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16, 39, 64, 85, 96, 91, 64?\n\"Answer: -t**3 + 7*t**2 + 9*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -32*b + 7. Let h = -713 - -713. Let w be u(h). Factor -3*a**5 - 1\/3 + a - 10\/3*a**3 + 2*a**2 - w*a**4.\nAnswer: -(a + 1)**3*(3*a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1414 and 64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-632)\/(-948)*(3\/1)\/(-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5e6 (base 15) to base 10.\nAnswer: -1341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126276 is divided by 220?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -6) + 540\/(-330).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**4 + p**4 + p**4 + (0*p + 3*p + 0*p)*(-57 + 31 - 76)*(5*p**3 - 6*p**3 - 14*p**3) to h*p**3 + g*p + d*p**2 + u + c*p**4 and give c.\nAnswer: 4592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 1 + 3*sqrt(76) + 3)**2 - ((sqrt(76) + -3)*-1*6)**2.\nAnswer: -1828 + 496*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z - 222 - 336 = -408 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/(-18)*40\/(-4160)*-78.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/29702232 and 61\/606168.\nAnswer: 29702232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 - 3 = -2*l. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*u - 2*r, 3*u + r = -2*r - 6. Solve 4*a - 7*a + u = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 3*l + 0*l + (-2*l + 6*l - 3*l)*(-3 + 16 + 4))*(-79*l - 409 + 409).\nAnswer: -1422*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.7176 - 3.06731. Let n = d + 0.35. Round n to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 + 7*j + 9*j - 7*j**2 - 16*j to the form b*j**2 + w*j**3 + h + x*j and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17163 - 9840. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5112\/72*99*1.\nAnswer: 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -132.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 270 = 5*a. Is a a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 35*t + 206. What is n(0)?\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4970 and 1136.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i - 3. Let s be q(-5). Let j = 54 + s. Let z be -38 + 171 + (-11)\/(-1). Calculate the highest common divisor of z and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120655553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10788409 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/((-10)\/(-20)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5 - 3 = 5*m, 0 = 3*m - 6. Let l be 11 + 6\/(-10)*-5. Solve -h + 29 = 6*i - i, -z*i = h - l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.13 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -5*f - 1418 + 1434, -5*f + 62 = 21*c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 7\/5, 1.1, -268?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 10*m + 23. Let n be c(13). Let u = -7 - n. What is the remainder when u is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -23*i + 34*i. Solve i = -582*f + 573*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*t**2 - 6 + 3 + 3 to the form l*t + q + i*t**2 and give i.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 81, 160, 259, 384, 541, 736?\nAnswer: 975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5490603, 5490605, 5490607, 5490609?\nAnswer: 5490611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*z = 43*z - 18 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1905, -3815, -5733, -7665, -9617?\nAnswer: -11595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 2*h**3\/27 + 26*h**2\/9 + 338*h\/9 + 42. Factor j(s).\nAnswer: 2*(s + 13)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**2. Let s(k) = 468*k. Give s(n(o)).\nAnswer: 2340*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -480*i**3 + i**2 - 6796332*i.\nAnswer: -2880*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -276*(-4 + 10\/3). Let v = -80 + n. Let t be (-53)\/(-4) + 2\/(-8). What is the highest common factor of v and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*q + 20, 0 = 5*r + 3*q - 22. Let p = 7 - 4. Suppose 113 = p*x + 2*d, 5*x - 3*d + r*d = 171. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1)*(-438)\/876\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 divided by 69?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 + 170*l**2 - 26*l - 487. List the prime factors of c(-85).\nAnswer: 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 8:34 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15398.4 take away -4095279?\nAnswer: 4110677.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1785374822 rounded to 5 dps?\nAnswer: -0.17854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3723 and 408?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 80777022?\nAnswer: 161554044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from {m: 2, j: 6, i: 6, l: 1, b: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/9*6*9\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233*j**3 - 3*j - 230*j**3 + 3*j.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6482*b + 547*b = 2658*b - 498394 for b.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222610.\nAnswer: 2, 5, 113, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 394*v + 2453. Calculate n(-7).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4464000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18433 is divided by 9210?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 56.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38767\/47 + -825. Let v = u + 2133\/658. Find the common denominator of 83\/28 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = -12*o - 40 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/11)*a)\/a**11)**(1\/2) assuming a is positive.\nAnswer: a**(-54\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d + 7. Let p(r) = -r - r - 2 - r + 4*r. Give 6*c(v) + 21*p(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*z - 20. Differentiate 24*x**2 - 27*x**2 + 7 + z*x - 4*x with respect to x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7102.\nAnswer: 2, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5286*l**2\/7 - 15854*l\/7 + 12\/7 = 0?\nAnswer: -3, 2\/2643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 28 - 26 = 0. Do q and 21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(1\/7)*p\/(p*p**(-1\/4)*p))\/(p**(-4\/3)*p*p**(4\/5)*p*p*p) assuming p is positive.\nAnswer: p**(-1411\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3328050 by 44374.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (323\/19 - 36)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than or equal to 0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.486 + 6.336. Sort -1\/5, 5, -4, 3, v in decreasing order.\nAnswer: 5, 3, v, -1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18\/42 - (484\/(-14) + 0) is divided by 6 - 21\/(42\/(-6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -2 - 3\/4*f**2 - 1\/8*f**3 + 15\/8*f. Find r such that l(r) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 33*x + 79. Give a(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 - -0.1. Let a = -0.6 - 2.4. What is the nearest to 0.2 in -5, v, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203204 (base 6) in base 9?\nAnswer: 105284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 26 + -7 + -18\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 9) + 2 - (-5 + 2) - 7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*l + 5 = 0, -v + 5*l = -2*v + 15. Suppose u = v, 3*q + 5*u - u - 197 = 0. Calculate the remainder when q is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**5 - 5*a**4 - 10*a**3 + 20*a**2 - 8*a = 0.\nAnswer: -2, 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-14) - (176\/(-28) - -3). Let i = -2 + f. Suppose z - 10 = i. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*v + 21 = -95*v + 55*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 6:22 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 2*g**2 + 166*g - 23. Determine k(-11).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36701222.\nAnswer: 2, 127, 131, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**3 - 4*a**3 - a**4 + (-2*a**2 - a**4 + 2*a**2)*(1 + 3 - 3) + 52*a**4 - 5*a**3 - 55*a**4 - 2*a**3.\nAnswer: -5*a**4 - 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -1 - 1. Suppose 118 = o*x - 68. Is (x - (2 - 2)) + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19061330.9 to the nearest one hundred thousand.\nAnswer: -19100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(4)\/(sqrt(4)\/sqrt(2))*-3)**2 - sqrt(12)\/((sqrt(66)*2 + sqrt(66))\/sqrt(11) + sqrt(6))*4.\nAnswer: -sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -12*x + 91. Suppose -3*j + 15 = -9. Let f be r(j). Sort 2, -6, f in descending order.\nAnswer: 2, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -518, -1041, -1564, -2087, -2610, -3133?\nAnswer: -3656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**3 - 845 - 1549 - 117*z**2 - 2233 + 1521*z - 1964 = 0 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 92099*m. Let x(j) = -10*j + 4. Determine o(x(g)).\nAnswer: -920990*g + 368396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78851 and 1856.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 12320 = -42*l. Sort 3, -1, 2, l in ascending order.\nAnswer: -1, 2, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*x**3 + 4*x**4 + 5*x**3)*(7 - 6 + 7) - 3*x**4 + 4*x**4 + 4*x**4 in the form j + l*x**2 + v*x + k*x**3 + r*x**4 and give r.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-33)\/(-18) - 2)*-8. Let w = -0.07 - -0.12. Let v = -5.05 + w. Which is the second smallest value? (a) p (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 3*d = -36. Let f be (d\/8)\/(6\/20). What is the greatest common factor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-4)\/g*g**30 assuming g is positive.\nAnswer: g**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3386*c - 3372*c + 56 = 0. Sort 1\/7, 1\/3, 10, c in descending order.\nAnswer: 10, 1\/3, 1\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -92, 0.4, 1\/2.\nAnswer: -92, -3, 0.4, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**3 + 4*f**4 - 5*f**3 + (-f**3 + 23*f - 23*f)*(-6*f + 4*f + f) + (-f**2 - 3*f**2 + 2*f**2)*(5*f**2 - 3*f**2 - 4*f**2) - 4*f**4 + 3*f**4 + 4*f - 3*f.\nAnswer: 8*f**4 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 493 + -1442\/3. What is the common denominator of r and (-64)\/(-18) - (-4)\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 i when three letters picked without replacement from {e: 5, z: 8, i: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((35\/(-5))\/(-7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12312322.4 rounded to the nearest 10000?\nAnswer: 12310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 10*w - 12. Let m be j(8). Let s be ((-8)\/(-6))\/((-356)\/(-801)). Solve 2*q = -s*c + 20, 0*q = 5*c - m*q - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 807364?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00322766 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -20*r**5 + 18812*r**4 - 30012*r**3 - 33836*r**2 + 30032*r + 15024 = 0.\nAnswer: -1, -2\/5, 1, 2, 939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2))**14)**(-22))**(16\/9) assuming x is positive.\nAnswer: x**(9856\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 50*i + 43. Calculate m(-49).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 3*d + 14*d**3 - 18*d**3 - 3*d.\nAnswer: -4*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r - 4. Let c(a) be the second derivative of -2*a**3\/3 - 3*a**2\/2 + 1125*a. Determine 4*c(p) - 3*f(p).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100598691 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 195 or 199?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**3 - k**2 - 3*k - 4. Suppose 117*g + 38 + 162 = -34. Give q(g).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -303, -610, -921, -1236?\nAnswer: -1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26331 is divided by 685.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -65, -1040, -4103, -10430, -21197?\n\"Answer: -196*j**3 + 132*j**2 + j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g - 1. Let m = 24 - 17. What are the prime factors of i(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64.936, 2, -4\/7, 5 in descending order.\nAnswer: 5, 2, -4\/7, -64.936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -1\/42*g**3 + 1\/84*g**4 + 0*g**2 + 4*g + 0. Find y such that a(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -54*q - 162. Let h be p(-3). Let a(x) be the first derivative of 6*x - 8 + 1\/4*x**4 - 8\/3*x**3 + h*x**2. Calculate a(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -19, -3, -2, 3 in descending order.\nAnswer: 7, 3, -2, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -41, 4 in decreasing order.\nAnswer: 4, 2, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1967478*m**2 - 6*m - 32758667?\nAnswer: 3934956*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 102 + -97. Suppose -b*j = 12 - 7. Sort j, 3, 4 in descending order.\nAnswer: 4, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 6:52 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 130 = -50. Suppose 3*r = -2*r + u. Let o(w) = -r*w**2 + w**2 + w**2. Let g(b) = 2*b**2. Determine g(o(d)).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21695.5 milligrams to kilograms.\nAnswer: 0.0216955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 5*o - 31*u + 28*u, -5*u = -4*o - 24 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -85) + -45 + -5\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -107*l**3 - 64*l**2 + 11*l - 1058 wrt l?\nAnswer: -642*l - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7*n = 30. Let p be (-405)\/27*(-6)\/10. Suppose -p*h - 43 + 421 = 0. Calculate the greatest common factor of h and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1253886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7527*o*r**4 + 2*o*r**2 + 44538816*o*r + 6868*r**6 wrt r.\nAnswer: 180648*o*r + 824160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7425 + 4*q**2 - 7441 - 14*q**2 - 4*q**2.\nAnswer: -14*q**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l**2 - 51*l**2 - 7*l**2.\nAnswer: -42*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - 11. Calculate the lowest common multiple of s(-13) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 15*z**2 - 169*z - 1179. Calculate the remainder when w(-7) is divided by 189.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q = -5*h + 10, -5*q = 0. Factor -40*j**h + 7*j**3 - 44*j + 7865 - 3*j**3 - 7865.\nAnswer: 4*j*(j - 11)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from {x: 9, q: 5, u: 3, j: 2}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7063384599 + -0.3.\nAnswer: -7063384599.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*f - 424 + 46 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 - 3*q - 4. Let a(l) = l**2 + l + 2. Let g(c) = -13*a(c) - 6*s(c). Let b(d) = 12*d**2 - 66*d + 27. Let t(z) = -2*b(z) - 27*g(z). Factor t(f).\nAnswer: 3*f*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267018107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*w**4 + 0*w**4 + 2*w - 2*w**4 wrt w?\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rddrrddd. What is prob of sequence drr?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 41 - 153. Let l = -1006\/9 - s. Let a = -146\/35 + 306\/35. Find the common denominator of a and l.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 - 2 + 1 - 3*g**3 - g**2 + 2*g**3 + 5 + g in the form f*g + l*g**2 + j + n*g**4 + u*g**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 6 + 0)*(-141*v + 69*v - 398*v)*(2 - 5 + 2) as a + g*v and give g.\nAnswer: -1410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**5 + 14*q**4 - 157*q**3 + 76*q**2 + 484*q + 240 = 0.\nAnswer: -10, -1, -2\/3, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -466 + 463. Which is the nearest to -1? (a) 0.2 (b) 5 (c) -10 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/(-6))\/(15\/(-20)) - -1. Suppose -8 = -4*p - 2*q, -y*p - 2*q + 0 = -8. Suppose p*z + 658 = 7*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -6*i**3 + 4*i**2 - 6*i - 8. Let t(y) = y**3 + 2*y + 1. Let g(u) = -4*t(u) - v(u). Solve g(k) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 3*a = 12. Let l be 2\/(-5) - 36\/(-15). Factor 1 - a*g**2 + 2*g**2 + 2*g**2 - l.\nAnswer: (g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 863 - 867. Let p = 32 + -14. Let k be (l\/(-8))\/(2 + 2 + p). Is 1 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*i + 411*i = -82346 + 61147 for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**(-24)\/(s**(-2\/9)*s**(-4)) assuming s is positive.\nAnswer: s**(-178\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.7797 and 1203830.\nAnswer: 1203829.2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*d + 2*s, d - 16 = -0*d + 5*s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 82 + 0*g + 45 + 0*g + 2*g**2.\nAnswer: 2*g**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 39.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-18)*(a**(1\/14)\/a*a)\/a assuming a is positive.\nAnswer: a**(-265\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2144*x - 26827 = 60*x - 32537 - 113078 for x.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w + 22. Does 3 divide s(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010041 to six decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 304*a + 5 - 7)*(2*a - 2*a - a)*(-2*a - a**2 + 2*a)*(2 + 2 + 3).\nAnswer: 2128*a**4 - 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/2 + 2)*-1. Let j = 1 - l. What is the units digit of 3*(3 + (-4)\/j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -147*t - 2. Let h(d) = 12*d. Let q(l) be the first derivative of 19*l**2\/2 - 68. Let i(u) = -8*h(u) + 5*q(u). What is s(i(z))?\nAnswer: 147*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 33\/11) + (-4)\/(-1). Solve -2*k + w*h = 3*k - 20, 2*h = 4*k - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 12*z**2 - 19*z - 88. Determine i(-4).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2326265380.\nAnswer: 2, 5, 17, 19, 41, 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12461475 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 751195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -304*y + 11928. Give h(42).\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*(sqrt(475) - sqrt(19)) + sqrt(19) + 1*-3*sqrt(19))*-2.\nAnswer: 156*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 2*c - 1. Let f be o(1). Put -2, 2, 3, f in decreasing order.\nAnswer: 3, 2, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11696 + 500 = 526*j + 407*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 409495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*2\/(-6) + (-41194)\/(-1). Suppose w = r + x, x = -13 + 9. What is r rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (-1 - -5)*(1 + -2). Calculate the remainder when 14 is divided by ((-10)\/(-4))\/(g*7\/(-112)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 - 40. Put k, 1, 2 in decreasing order.\nAnswer: 2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/(-19) + (-128)\/1216)*(9838\/820 + -12)\nAnswer: -2\/205","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5138)\/16)\/(-7) + 1\/8. Suppose -7*l = 11 - h. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 654.8.\nAnswer: 261.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 16*p**2 - 2*p - 23. Let l be n(-16). Solve -2*b + l = -5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15996392?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbrbbbbbbbbbbrbbbr. What is prob of sequence rrb?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-24)*-2*12\/(-40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-2*3\/6). Let r be x - (2 - 3) - -6. Suppose o - r = 1. Let t(q) = q - 7. What is t(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(3*(-2)\/18). Suppose -4*b - a*q + 72 = 0, -54 = -3*b + q + q. Let x be (b + -2)\/4 - -1. Solve 2*v - x = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*q + 240*q - 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 377, -3, 28, -74 in increasing order.\nAnswer: -74, -3, 28, 377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 372 and 930.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**4 - 34*d**2 + 34*d**2 - 2*d**3 - 7*d + d**4 + 0 + 0 - 2*d**4 - 5 + 5 + (0*d + 0*d - 2*d**2)*(0*d**2 + d**2 + 0*d**2).\nAnswer: -8*d**4 - 2*d**3 - 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165408630.\nAnswer: 2, 3, 5, 419, 13159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*g**3 + 541 - 271*g**3 - 41*g**3 wrt g.\nAnswer: -1101*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 - 164*p + 9*p**2 + 1 - 153*p.\nAnswer: 4*p**2 - 317*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 47671630 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 39. Let i = -1455 - -499. Let v = i - -3847\/4. What is the common denominator of s and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1364 and 6696?\nAnswer: 73656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6 - 4) + 25*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2. Let q(f) = 67*f + 10*f + 64*f. What is p(q(x))?\nAnswer: -39762*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 2*o + 5, 2*o + 6 + 1 = 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26\/21 + -17\/42. Which is the nearest to -0.1? (a) w (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13512\/7 - -1930. Let m = 7 + -11. Let g = -4 - m. Which is the nearest to g? (a) 3 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*r - 15. Suppose 22 = r*i - 29. Calculate the greatest common divisor of 102 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -209303a (base 12) in base 10?\nAnswer: -6163822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 3.4. Let z = -43266 + 43271. Which is the nearest to 1? (a) 2.4 (b) z (c) j (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 9) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/91? (a) -10759 (b) 1\/5 (c) -0.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-2 - (-5 - (-6 + -2) - -1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.08 - -3.08. Let s = -8 + q. Which is the closest to 0.1? (a) 0.1 (b) -0.03 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**4\/4 - b**3\/6 + b**2. Let o = -3 + 0. Let q(f) = 7*f - 1. Let u(g) = o*q(g) + 4*t(g). What is u(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - (sqrt(14) + (sqrt(14) - sqrt(112)\/sqrt(72))) - (sqrt(56)*2 - sqrt(14)))\/(4*sqrt(847)*-1) + -3.\nAnswer: -3 + sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*q + 9, -2*g = q + 27 - 36. Let f(v) = -1. Let a(i) = -i**2 + 4*i + 10. Give q*a(j) + 5*f(j).\nAnswer: -j**2 + 4*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 1364*c - 29796. What is a(22)?\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -7 - d**3 + 7*d**2 + 10*d - 14*d**2 - 2*d**2. Let r be u(-10). Which is the biggest value? (a) 1 (b) 2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 12*s - 10 = 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341 = c - 4*i, -3*i - 31 = -40. Suppose 403 = 5*k + c. What is the least common multiple of (-2 - (-8)\/6)*-6 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*c**2 - 33*c**2 - 32*c**3 + (-2 - 3*c + 2)*(-3*c**2 - 6*c**2 + 8*c**2).\nAnswer: -29*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5922984 < -5922986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v + 5. Let d(l) = -7 + 22 - 14. Let a(m) = -6*d(m) + k(m). Let s(u) be the first derivative of -u**2\/2 + u + 1. Determine a(w) + 2*s(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 130684*a. Let c(h) = -2*h - 235. Calculate c(y(n)).\nAnswer: -261368*n - 235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 9 + 57. Suppose 7*j - 2*j + 10 = 0. Let k be 3 - (j + 389)\/(-3). What is the greatest common divisor of r and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 37.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-49))\/(4\/42).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-126 - -3)*(-64)\/(-24). What is the tens digit of -4 - (i - 0)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.002 - 6362766277460.\nAnswer: -6362766277460.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 32, 65, 96, 125?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -4. Suppose n = p + 3*n, 0 = 5*n - 10. Put z, p, 4 in increasing order.\nAnswer: p, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/30 and 34\/1461599?\nAnswer: 43847970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4885 - -68347\/14. What is the common denominator of r and 71\/314?\nAnswer: 2198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 361 + -368. Let h(w) = -252*w**3 + 6*w**2 - 11*w - 7. Let i be h(j). What is i rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(539) + 2 + 1 - sqrt(539)) + sqrt(539) - (1*sqrt(539))**2*2) + (3 + sqrt(539)*3 - sqrt(539)*-1*-6)).\nAnswer: 84*sqrt(11) + 6432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14826 and 3?\nAnswer: 44478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 11:48 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m. Let n(g) = 19*g + 26. Let r(k) = 8*k + 13. Let c(h) = -6*n(h) + 14*r(h). Calculate c(v(t)).\nAnswer: -6*t + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 9:17 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 112*w**3 + 9*w**2 + 5307*w - 157757070?\nAnswer: 336*w**2 + 18*w + 5307","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -178 or -183?\nAnswer: -183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 8, i: 3}?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*c + 8 + 74, -v + 5*c - 7 = 0. Suppose -u + v*u - 408 = 0. Calculate the remainder when 83 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2545, 5073, 7591, 10099, 12597, 15085, 17563?\n\"Answer: -5*h**2 + 2543*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39.53363*-11.\nAnswer: -434.86993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11702.\nAnswer: 2, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbbbnnbbbbbbbb. Give prob of sequence bbb.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40635?\nAnswer: 3, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 9*t + 50. Let j be l(-3). Let h(x) = -2*x**2 + 45*x + 16. Let o be h(j). Let z(k) = -k**3 - 7*k**2 - k - 14. Calculate z(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14451116?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -5. Let s(c) = -4*c - 3. List the prime factors of s(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1. Suppose z + 4 = q, 0 = -0*p - 5*p + z - 1. What is the remainder when -20*((-21)\/15 - p) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + sqrt(108)\/(sqrt(18)\/sqrt(2)))\/(sqrt(28)\/(sqrt(21)\/sqrt(3))))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 225, 453, 673, 879, 1065, 1225, 1353, 1443?\nAnswer: 1489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19792*m**2*y**3 - 678*m**2*y**2 - 347492601*m**2*y + 3*m**2 wrt y.\nAnswer: 118752*m**2*y - 1356*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*w = 96*w - 6994 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8*c**2 + 20*c + 25. Suppose -3*q = 2*q + 30. What is the tens digit of w(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 284053?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27483.\nAnswer: 3, 9161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18110 + 18098. Let z(o) = 14*o + 14*o**2 + 27 - 2*o + 8*o. Is z(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/7 (b) 0.5 (c) -12\/1781\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, -0.1, 4, -22, -3\/4, -2\/7, -80?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 419*i + 6*i + 432*i - 71*i + 148*i to the form n*i + s and give n.\nAnswer: 934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**3 + 94*h**2 - 65*h + 71. Calculate t(-32).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12561 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196427385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*c - 38*c - 29*c + 144*c - 35*c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 198*w**4 + 12*w**4 - 7*w**2 - 2*w**2 - 3*w**2 + 13*w**2 - w**3 - w + 2 in the form q*w**3 + o*w + v*w**4 + j*w**2 + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -17675967150 rounded to the nearest 100000?\nAnswer: -17676000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p**(-5)*p*p)\/p))\/p*p)**(-1\/32)*p\/((p*p\/(p**12*p))\/p)*p*p**7 assuming p is positive.\nAnswer: p**(167\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 190 + -341. Let s = a + 1959\/13. What is the third biggest value in s, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4366*z + 4355*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73.3 + 72.8. Sort -2, q, 0.05.\nAnswer: -2, q, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*v + 36 = 0, 4*g - v = 2*g + 58. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4051.230398 and -2.2?\nAnswer: 4049.030398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*f - 59*f + f + 287 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35.5 - 39. Let z = x + 1.5. Which is smaller: -5 or z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 2423*i**6\/15 + 6373*i**4\/12 - 902*i + 1. What is the third derivative of c(t) wrt t?\nAnswer: 116304*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*j + 720 = -68*j. Let b be (5*j\/(-25))\/((-3)\/2). Is -789*(4\/b)\/((-4)\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13 and 28.1?\nAnswer: 3.653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12001481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 16*x**7\/105 + x**4\/12 - 23*x**2\/2 + 25. Let g(j) be the second derivative of y(j). Find the second derivative of g(r) wrt r.\nAnswer: 384*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310842.9 millennia in centuries?\nAnswer: 3108429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 15*y + 260. Determine v(-23).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, 7682, 42 in decreasing order.\nAnswer: 7682, 42, 8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**3 - 4264*l**2 - 1132080*l + 2281248 = 0.\nAnswer: -534, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (-3)\/(-1) - 3. Suppose -j = 4*j - 5. Put -1, v, j in ascending order.\nAnswer: v, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(2\/3))**(-1)\/((i**(-1)*i)\/i)**2*((i*i\/(i*i\/(i**1\/i)*i)*i*i)\/i)**(4\/7)\/(i**3*i*i**(-3)) assuming i is positive.\nAnswer: i**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2142087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 6:27 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7900 or 7898?\nAnswer: 7898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -3721\/4*r**4 + 0 + 122*r**3 - 6*r**2 - 3*r. Factor n(a).\nAnswer: -3*(61*a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104127377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f - 27*f + 5*f - 320 = 0 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000768 rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4726 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olobbbooo. Give prob of picking 1 o and 1 b.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1375 and 124795?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -258e (base 15) to base 10\nAnswer: -8009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135187949 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -30760c (base 16) to base 13\nAnswer: -872779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15013397*q**3 - 5538*q**2 + 339?\nAnswer: -90080382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*q - 57*q - 64*q - 54*q - 62*q.\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4074 + -4895. Sort -4, j, -5 in decreasing order.\nAnswer: -4, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o = -71*o - 504 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.916627 to 1 decimal place.\nAnswer: -44.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 35, -3\/2 in descending order.\nAnswer: 35, -0.4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 6*o + o. Solve o*h + 2 - 6 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 10 = 3*j + 1, -5*j - 5*u = -15. Let v be j\/(-3) - (-10)\/(-15). Factor 0 - 28\/5*g**3 + v*g + 4\/5*g**2 + 49\/5*g**4.\nAnswer: g**2*(7*g - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00083915 to 6 decimal places.\nAnswer: 0.000839","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 0*p**2 + 2*p**2)*(-12*p + 3*p - 8*p)*(-1 - p + 3*p + 2*p)*(2*p + p - 2*p).\nAnswer: 68*p**5 - 17*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10171 (b) -3 (c) -25580\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10081*g - 2006*g - 1985*g - 2020*g - 1985*g - 2027*g.\nAnswer: 58*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -50*r - 10*r + 91 - 57 + 112. List the prime factors of w(-6).\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20572 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212212211 (base 3) to base 13.\nAnswer: 7c03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 167975 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 156822134 to the power of 1\/3, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14193278 + 1065?\nAnswer: 14194343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 7*y + 1. Let x = -24 - -28. Let o be x\/10*(-455)\/(-14). Solve 3*z - 3*f + 1 = y, -5*z + 3*f = -o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + -3 - (-2 + 15 + -24 + 8).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5))**11 assuming c is positive.\nAnswer: c**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -36, -16 in decreasing order.\nAnswer: 2, 0, -16, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from {k: 5, o: 8}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 1:56 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-1) - 4)\/(40\/(-12))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -12. Suppose g*o - 6*m + m - 10 = 0, o + m = -2. Suppose o = 2*f - f - 4. Put 3, f, -5 in descending order.\nAnswer: f, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -242*w**4 + 2*w + 148?\nAnswer: -968*w**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-8603)\/(-112)*4)\/(1\/4)?\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3815000 = 10*a. What is a rounded to the nearest 10000?\nAnswer: -760000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-76)\/(-18886))\/((-34)\/238)?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1335 + -20015422?\nAnswer: -20014043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9777, 14040, 21153, 31122, 43953, 59652?\n\"Answer: q**3 + 1419*q**2 - q + 8358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 22.7983 times -89\nAnswer: -2029.0487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.47 - -4.57. Let v = -4 + m. Let u be (-8)\/6 + 1 + -1. Which is the closest to -0.2? (a) u (b) v (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1235899750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + -1)*(-88)\/12. Let u = d + 31. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r**2 - 3*r + 63. Let m(v) = 5*v**2 - 2*v + 62. Calculate -4*i(g) + 5*m(g).\nAnswer: g**2 + 2*g + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*m - 74*m - 794 = -121 + 493 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 46028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 104 and -256.504?\nAnswer: -26676.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 + d + 2. Let f = -86 - -87. Let u(l) = -3*l - 1 + 0*l + 4*l. Give f*v(n) + u(n).\nAnswer: -2*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1532198.\nAnswer: 2, 19, 61, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 50753.56 millilitres in litres?\nAnswer: 50.75356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 7*i - 3*i. Let z = 10 - -2. Solve -i*t = t + z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4686 and 7458.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**2 - 3*i**2 + 22*i + 15 - 4*i**2. Let y be l(7). Solve -5*a + 3*t + y = 0, -2*a - t - 10 = -5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89.82 - -0.18. Let b = 38 - l. Let u = b + 51.9903. Round u to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 3)*1 - (-21)\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3\/2*t**2 - 9\/4*t**3 + 0 + 0*t - 3\/2*t**4 = 0.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 8 - 2 - 10. Let j = 53 + -50. Suppose -2*l - i = 3, 2 = -l + 3*i - j. Put n, 5, l, -1 in descending order.\nAnswer: 5, -1, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 148, -2\/7, -1.\nAnswer: -1, -2\/7, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-84)*((-63)\/(-15)*(-20)\/(-8))\/(-24)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -213*m**2\/5 - 11162988*m + 1572252\/5 = 0.\nAnswer: -262042, 2\/71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-22)*14)\/(-3).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18, -42, -64, -84, -102?\n\"Answer: l**2 - 27*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*(sqrt(363) + -3) + 3 + (sqrt(432) + -5 - sqrt(3)))**2.\nAnswer: -528*sqrt(3) + 3335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7405 divided by 5?\nAnswer: 1481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1117, -2461, -4039, -5851, -7897, -10177?\n\"Answer: -117*h**2 - 993*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-9))\/5 - (-21780004)\/(-18). Round n to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(204)\/sqrt(4))\/sqrt(3).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + t + 2. Let q(b) = 4718*b**2 + 2696*b + 5392. Determine -2696*h(w) + q(w).\nAnswer: -674*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 41045\/30 - (-12)\/(-72)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*z**2 + 68277*z + 958230.\nAnswer: -3*(z + 14)*(4*z - 22815)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pyl when three letters picked without replacement from uynpnllnny.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3191, -4, 0, 261 in ascending order.\nAnswer: -3191, -4, 0, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 5220.\nAnswer: 36540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 78*n + 3. Let b(v) = 165*v + 7. Calculate 2*b(l) - 5*j(l).\nAnswer: -60*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3307973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31894336 is divided by 177?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2092 is divided by 346?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 - 4*b + 4. Let v be p(2). Suppose 0 = 2*o + v*s - 24041 - 4199, 2*o + s = 28225. Let n = o + -9845. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/7872 and 21\/1312.\nAnswer: 7872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32148 - 32368.53. What is o rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 25\/99?\nAnswer: 25\/99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 828.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 9*t + 6. Let v(p) = -4*p - 107. Let k be v(-25). Calculate m(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d*d\/(d\/d**(2\/39)))\/d*d)*d*d\/(d*d**(4\/21)) assuming d is positive.\nAnswer: d**(69\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1174236340 to the nearest integer?\nAnswer: 34267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lggn when four letters picked without replacement from {l: 14, g: 2, n: 1}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6591 - -15550. Is 45 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 9 - 12. Let u be (t - 117\/12) + 2\/(-8). Let p(m) = m**3 + 12*m**2 - 12*m + 17. Let b be p(u). Solve -5 = -2*i + s + 2, 0 = 2*i + b*s - 22 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1718140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 16 = -4*s, -5*s + s = 4*x - 8. Suppose -4*u + 6 = -s. Find the second derivative of -5*z**3 + 3*z**u - z - z wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*h + 111*h + 14 = 4*c, -5*h - 15 = -c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 5*h**2 + 2*h - 4. Let m be l(-4). Let b = -33 + m. Let f = b - -166. Does 22 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 10:05 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**4\/4 + 4*y**3 - y**2\/2 - 5*y - 1. What are the prime factors of k(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -307, -331, -387, -487, -643, -867, -1171?\n\"Answer: -2*u**3 - 4*u**2 + 2*u - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41168163 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11819 and 43195?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.017 - 34.983. Let m = 1488.28 - 1524. Let t = j - m. What is t rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ot when two letters picked without replacement from {e: 2, t: 3, j: 4, o: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10650 by -71.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 56*y**2 + 53*y + 3051. Is 32 a factor of v(56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17145 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66855717*z**3 + 2884*z**2 - 2*z - 7550?\nAnswer: 401134302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from dpdppppnpdpdupup.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123555?\nAnswer: 3, 5, 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 771490\/275 - (-1 - (-18)\/22). Let w = -2795 + c. Which is smaller: w or 12?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055125 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: Let w = -318.2654 + 317.6. What is w rounded to two dps?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 9*c**2 - 11*c - 5. Let j(i) = -i**2 + i + 2. Let d be j(-3). Let o be l(d). Suppose 0*n + o*n - 15 = 0. Solve -2 = -n*z - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*o**4\/7 - 45*o**3\/7 + 87*o**2\/7 - 9*o + 15\/7 = 0. What is o?\nAnswer: 1\/2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71 and 3479.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 10*h - 30. Let d(c) = -31*c + 90. Let f(z) = -2*d(z) - 7*x(z). Does 32 divide f(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088 a factor of 6618304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/5 - 8*w**2\/5 - 19*w\/5 - 2.\nAnswer: (w - 10)*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*z - 63*z - 12. Sort 5, -3, -1, z in descending order.\nAnswer: 5, -1, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 greater than 1.079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from ozk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -5241 > -5244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/9? (a) -2 (b) 3 (c) 0.02 (d) -1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*s = 4*x + 48*s - 276, 3*x - 4*s = 193. Calculate the remainder when x is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33425, -2, 1, -4, 4 in increasing order.\nAnswer: -4, -2, 1, 4, 33425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = -5*x + 8*t + 19, -5*x - 4*t = -24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3880 + -23173\/6. Let s = -16 + 10. Find the common denominator of (1 - (-54)\/(-8))*s and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2169707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98)\/21 - -3 - -1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.6887 and 2.41027.\nAnswer: 1.72157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2 - 8*w + 9*w - 3. Let v be s(0). Let u = -2 + 1. Is v less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12c971 (base 16) in base 7?\nAnswer: 13315361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(33) + sqrt(33) + (-1*sqrt(198))\/sqrt(6))\/(-6*2*sqrt(75) - sqrt(75)).\nAnswer: -8*sqrt(11)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14171 - -27574. Factor 18*h - 18*h**3 - 13403 + 3*h**2 + c - 3*h**4.\nAnswer: -3*h*(h - 1)*(h + 1)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2101067, 4202114, 6303161, 8404208, 10505255, 12606302?\n\"Answer: 2101047*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 3*d - 5. Let l be u(-5). Let w = 2 - 2. Let v be 1*12\/(2 + w). Which is smaller: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 718.0177 minutes to seconds.\nAnswer: 43081.062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 9 + 5 = 0. Suppose -4*a = -d - 9. Suppose -a*x + 7 + 41 = 0. Solve -s = 3*s + x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3c6e (base 16) to base 3\nAnswer: 210012222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 884987141?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 183 - 285 = 0. Find n, given that -676 - 99*n**2 + 95*n**2 + 140*n - p*n = 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 380, -877, -3868, -8701, -15484, -24325, -35332, -48613?\nAnswer: -64276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.10205 and -33174319.\nAnswer: -33174320.10205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2. Let z(v) = -105*v. Calculate t(z(j)).\nAnswer: -22050*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, y: 3, i: 15}. What is prob of picking 1 z and 1 y?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - 26)\/(2\/(-5)). Let l = -49 + p. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*l**3 - 39*l**3 + 14*l**3 - 12*l - l**3 + 3*l**2 - 3*l**2 + (2*l + 1 - 1)*(0*l**2 - l**2 + 0*l**2) + 0*l**3 + 4*l**3 + l**3.\nAnswer: -l**3 - 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**1\/c)**(-1\/52)\/(c**(-4\/7)*c**6))\/(((c\/c**4)\/c**(5\/2))\/((c\/c**(-2\/15))\/(c**(-1\/6)*c*c))) assuming c is positive.\nAnswer: c**(-1179\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*47\/(-2115)*(-156)\/8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -108*b**3 - 3*b**2\/2 + 6*b + 209. Find the second derivative of f(k) wrt k.\nAnswer: -648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.00654 + 62.00654. Is 1\/13 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815048587?\nAnswer: 815048587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 17. Let s be 3*(o\/15 - -1). Let y = 2 + -4. What is the closest to s in y, 1\/6, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-53*(-2 + 1)). Let j(z) = 5*z - 24. Let n(f) = -1. Let h(b) = j(b) - 3*n(b). Let m be h(4). Are w and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187492 = -34*f - 42*f. List the prime factors of f.\nAnswer: 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -939*l**3 - 390*l**2 - 10. Let w(z) = 469*z**3 + 195*z**2 + 4. Let o(k) = 2*r(k) + 5*w(k). What is the third derivative of o(s) wrt s?\nAnswer: 2802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3*g**2 - 113765*a**3*m + 3*a**3 + 5*a*g**2*m - a*g**2 + a*g*m + 558*a*m - 5*g**2*m + 2*g**2 wrt a.\nAnswer: -6*a*g**2 - 682590*a*m + 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 21*s - 497. Determine w(25).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnzzz. What is prob of sequence znzn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 22. Find the common denominator of 33\/7 and (-1)\/4 + h\/((-84)\/(-331)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 44, -108, -5, -1, -4.\nAnswer: -108, -5, -4, -1, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/7)*(f*f**(-4\/9)\/f*f)\/f assuming f is positive.\nAnswer: f**(-1\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 287, -2, -3, -0.384?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 207 - 6004\/29. Let j = y + 322\/87. Find the common denominator of j and (-24)\/9 - ((-2)\/(-9))\/(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63.16 - -25. Let k = t + -69.05. Let a = -108 - k. Round a to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r**2 - 6*r - 29. Give x(9).\nAnswer: -731","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -72b85?\nAnswer: -72b81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-721)\/147 - -5)\/(116\/(-203))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92 + -81 + 28\/(-4))\/(-1 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 7*m = -8*m - 76, -5*k + m = -96. Calculate the highest common divisor of k and 445.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74858, -149700, -224542, -299384?\nAnswer: -374226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 696965478 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 210.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2789 + 1477. Is -4 + 0 + f\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 15*s**2 + 5*s - 14. Let x(p) = 31*p**2 + 9*p - 24. Determine 7*j(m) - 4*x(m).\nAnswer: -19*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 13) to base 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q + 70. Let c be (32\/(-48))\/(13\/195). Determine p(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 20*x + 83. What is p(-13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2\/5*z**4 + 2\/15*z**5 + 0 + 2\/5*z**3 + 0*z + 2\/15*z**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**7\/35 + 31*q**5\/60 + 155*q**4\/8 - 685*q**2 + q. What is the second derivative of p(f) wrt f?\nAnswer: 72*f**2 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 - 4. Let z(r) = -r**2 + 1. Let c(x) = 2*x - 3. Let f be c(3). Suppose 0 = d + f*u + 3, 12 = 2*d - 6*d + 3*u. Give d*z(b) - t(b).\nAnswer: b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/3))**31*z**4*z**(-3\/4)\/z)\/((z\/(z*(z\/z**6)\/z)*z**(-1\/3))\/((z*((z*z**(-1\/3)*z)\/z)\/z)\/z**(2\/5))) assuming z is positive.\nAnswer: z**(1051\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -7. Suppose -4 = -l*w + 16. Let s(x) = 9*x + 2. Is s(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/12)\/((-4)\/920).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**2 - 13*z + 5. Let c be j(-6). Let u = c + 56. Let g(q) = -q**3 - 5*q**2 + q + 7. Determine g(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -265 divided by -53\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a**2 + 68 - 68. Let l(w) = 2*w. Calculate s(l(h)).\nAnswer: 28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + 29*w - 3*w**2 + 5*w**2 - 50*w - w**3 as v + s*w**3 + d*w**2 + c*w and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from eqekiiqebebebppbpe.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -355 - -358. What is the lowest common multiple of 184 and m?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1\/(-12))\/(115\/1670260)*1*-6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 1 = 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 1026*i - 25*i**2 + 13*i**2 - 1156 + 0*i**2 + 2446*i = 0.\nAnswer: 1\/3, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1112*a - 682036 = -784340 for a.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -0.1, 7, 2\/5, -26?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**4 + 687*g**3 + 1846*g**2 - 3648*g + 1120 = 0?\nAnswer: -4, 2\/5, 1, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1499253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4357734122.\nAnswer: 2, 7, 43, 7238761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 + 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112 - -117. What is the biggest value in w, 0.3, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7295*w - 4019 + 2502 + 166*w - 6457 wrt w?\nAnswer: -7129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = w + 5*r + 172, 488 = -5*w + 4*r. Let n be (-7)\/(-21) - w\/6. Calculate the highest common divisor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 89 = j, 0 = -n + 5*n - 2*j - 60. Let k = -33920 - -33922. What is the nearest to 0.1 in k, n, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 - 0.1. Suppose 0 = -x + 3*x + 2*s + 48, 5*x + 2*s = -120. Let i = x - -214\/9. Which is the nearest to f? (a) 3\/4 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/2)\/((-1)\/(-1)). Suppose a = -3*z + 6*z - 24. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111 - -333?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14 - -178) + (-2 - 5). Let m = 183 - f. Let i(s) = -5*s**3 + 2*s**2 - 2*s. Let o(z) = -66*z**3 + 27*z**2 - 27*z. Give m*o(p) + 27*i(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(12) - (sqrt(108) + sqrt(108)*-2 + sqrt(12))).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 43 + 61 - 4 = 0. Put 1\/8, k, -2\/17, 3, 1 in ascending order.\nAnswer: -2\/17, 1\/8, 1, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 101986826 and 14.\nAnswer: 713907782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/12*4\/(-2). Suppose -5*w - r*t = -17950, 2*w - 2*t = -6*t + 7180. What is w rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 16 = 3*i + 3*x, i + x = 0. What is the common denominator of 134\/(-42) - i\/(-3) and ((-21)\/12 - 0)*-1 - -2?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 + -42. Let y = -25 + q. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -163869 - 57309. Let x = k - -12726. What is x rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 177, -3\/4, -74, 0 in decreasing order.\nAnswer: 177, 0, -3\/4, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5\/9 + 28*m**4\/9 + 12*m**3 - 80*m**2\/9 - 1150*m\/9 - 500\/3 = 0.\nAnswer: -5, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**7\/42 - t**6\/30 - 17*t**5\/20 + 53*t**4\/12 - 28*t**3\/3 + 10*t**2 - 512*t + 2. Factor a(n).\nAnswer: (n - 2)**2*(n - 1)**2*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*m + 26, 2*v = -m + 5*m - 6. Let n be (-2 - 0)\/(-2) - 6. Let w be 2 - 0 - (-9)\/n. Which is the nearest to -2\/11? (a) 2 (b) m (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1906 + 70. Suppose 7*k = -6*k + t. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 11*o**2. Let s(t) be the first derivative of -9*t**2\/2 - 8. Calculate m(s(p)).\nAnswer: 891*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 93573298699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(495)\/(1*sqrt(11)) + -2 - (-4 + (sqrt(90)\/sqrt(2) + sqrt(45))**2 - sqrt(540)\/(sqrt(24)\/sqrt(2)))).\nAnswer: -178 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 14*k**2 - 13. Give c(14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8311*i - 5*p - 24 = -8308*i, 2*i = 7*p + 28 + 18 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l + 0*l + 0*l + (-3 + 2 + 3)*(-l - l + 0*l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1216 is divided by 188.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*v - 23*v, -4*v - 7 = m - 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/3*q**3 + 4\/3*q + 0 + 4\/3*q**2 = 0. What is q?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -338.87 - -6.87. Let r = x + 331.9. Which is smaller: r or 119?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**4\/3 + 292*q**3\/3 + 19780*q**2\/3 + 251804*q\/3 = 0.\nAnswer: -23, 0, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 53*f**2 - 166*f + 39. List the prime factors of v(58).\nAnswer: 7, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 510554 to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 260\/30 - (-30)\/(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*t + 7*t + 33*t.\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 839642449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*o + 6 = 346*o + 3*c, 2*c = 4*o + 14 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -486803323.0000188 + 486803402. Let q = -79 + r. Round q to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, a: 4, i: 1, w: 1, l: 4}. What is prob of picking 2 l and 1 i?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -576 - -579. Solve -o*b - 15 = -18 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 82*(366\/(-4))\/(-3). Let d = c - 122575\/49. Let b = 500\/1127 + d. Are 1 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*v**2 - 8\/7 - 10\/7*v.\nAnswer: -2*(v + 1)*(v + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 478436 in 0.01, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162309.\nAnswer: 3, 7, 59, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 10*d**3 - 4*d**2 - 15*d + 36. Calculate u(2).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 456809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrbbbr. Give prob of picking 3 r and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -3*q + 26*l - 22*l, 2*q - 4*l = 52. Let z = -8 + 11. Let k = z + 7. What is the smallest common multiple of k and q?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence slil when four letters picked without replacement from {i: 4, s: 1, l: 9}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -334 (base 5) to base 15\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) 4 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 8 + -9)\/(1 - 2). Solve k + l*k + 12 = 0, -j - 3*k - 8 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-2500\nAnswer: -12500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**5\/17 - 104*k**4\/17 - 1242*k**3\/17 + 104*k**2\/17 + 1240*k\/17 = 0.\nAnswer: -10, -1, 0, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.51 - -523.49. Which is smaller: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 + 25 + 7 + 39?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 7*u - 4. Let r be o(-6). Let d(z) = 2*z**2 + 13*z - 5. Let p be d(-7). What is the units digit of 100 + -4 + p + r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 2:09 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.041 + -0.059. Which is the biggest value? (a) -1 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.928 times 41?\nAnswer: 243.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8741 + 4325. Let k be (z\/(-68))\/(-8) - -8. Let g = -0.2 + 0.6. Which is the nearest to 1? (a) -1 (b) k (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 22*v**3 - 2*v**2 - 4*v - 2. Let h be x(-2). Let z = -2342 + 2306. Let l = z - h. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-56)*-3*46\/(-69).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 5, 2379 = 4*o - 4*r + 2355 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjjjwjj. What is prob of picking 2 j?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -6. Suppose 0*u = -u - 2, 3*u + c = s. Suppose s = -2*y + 4*y - 2, -3*j + 151 = 4*y. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 r, 1 g, and 1 e when four letters picked without replacement from {u: 1, e: 3, t: 3, i: 5, g: 1, r: 1}?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = r - 10, 5*r = -i - 3*i - 45 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fl when two letters picked without replacement from {l: 1, f: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2 + 3*t + 1. Let s be b(-1). Suppose 2*y = -3*p - s*p + 868, 4*p = 4*y + 672. Suppose -x - 598 = p. What is x rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2915 = -3*r + 2*o, -2*o = -0*r - 2*r + 1944. Let n be (-24)\/42 + 269375\/(-280) + -4. Let c = r + n. Calculate the common denominator of c and 41\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*o + 8. Suppose 3*y + 5*m + 0*m = 158, 4*y = -o*m + 216. Calculate the remainder when y is divided by 18 + 2 + (-3 - -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*0.0254\nAnswer: 0.1524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -56 + ((-6 - -14) + -11 - 9).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31020 a multiple of 235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 - z**2 + z**2 + (2 - 6 + 2)*(-80*z**3 + 17*z**3 - 26*z**3) - z + z + z**3 in the form l*z**2 + d*z**3 + b*z + k and give d.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8519 * 0.074.\nAnswer: 0.0630406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/14 > -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 145255, 145271, 145321, 145423, 145595, 145855?\n\"Answer: 3*s**3 - s**2 - 2*s + 145255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 1. Let s be x(1). Let r(o) = 2*o + 3. Let i be r(-1). Let z(j) = 7*j - 2. Let h be z(i). Solve n + 3 = 3*q, -2*q = -n - h + s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 840 by 2.\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 8:07 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + 2.9. Which is bigger: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*y - 3*m - 27304 = -231*y, 2*m = -5*y + 34107. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**5 + 2405*k**4 - 7175*k**3 + 2375*k**2 + 7180*k - 4780 = 0. What is k?\nAnswer: -1, 1, 2, 478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1312533 - -342?\nAnswer: 1313315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 3 (c) -0.2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m + 2*m - 3*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 8*d**2. Let b(q) = -6016*q + 6016*q + 3*q**2. Give v(b(r)).\nAnswer: 72*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/27 and 88\/189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*d + 2 = 0, 0 = -0*f + f + 3*d - 2. Sort 3, -2, f, 12 in decreasing order.\nAnswer: 12, 3, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-32 - (-16 - 6 - -7)) + -35)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 113535940 and 64877680?\nAnswer: 454143760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34\/5 in -4, -17931, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*c - 0. Let d be (-5)\/(10\/(-1274)) - c. Suppose d = 4*k - 4*a, 4*k + a + 3*a = 652. What is the highest common divisor of k and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*a + 4*j, 0 = -8*a + 4*a - 3*j. Let m(b) = 2*b**2 - 11*b + 17. Let r be m(a). What is the nearest to r in -0.3, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -310563, -610121, -909677, -1209231, -1508783, -1808333, -2107881?\n\"Answer: s**2 - 299561*s - 11003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.22 - -13.78. Let f = x - 14.7. Let d = f - 0.3. Which is the closest to 0.2? (a) -0.1 (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -17*f**4\/8 + f**3\/6 - 12*f**2. Calculate the remainder when c(-1) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75 and 7908?\nAnswer: 197700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10958955 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117, -140, -201, -318, -509?\nAnswer: -792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -126.6319258 to 2 dps.\nAnswer: -126.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10388 - 9788. What is the remainder when g is divided by 102?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.1137507 to 1 decimal place.\nAnswer: 19.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115967664?\nAnswer: 2, 3, 805331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-10))\/(4\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -65 + 59 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 1, k: 1, c: 1, t: 1}. What is prob of sequence tk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 23. Suppose -y = -4*g + g. Solve -s + g*s = 2*l, 0 = -2*s for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - k + 48, -k + 118 = -3*w + 150. Let m(n) = 19*n - 6. Let x be m(4). Calculate the highest common divisor of w and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -589, -2249, -5009, -8863, -13805, -19829?\nAnswer: -26929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 1123914.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 178 + 31)*(0*o + 1 + 5*o - 3*o).\nAnswer: 328*o + 164","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 18*x**3 + 717*x**2 - 719*x + 1. What is d(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -197, -416, -703, -1052, -1457, -1912, -2411?\nAnswer: -2948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.2597 rounded to one dp?\nAnswer: -25.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 4*t**2 + 6*t - 4. Calculate b(7).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 317492844 to the nearest integer?\nAnswer: 17818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9\/10 of a millennium?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -13254765?\nAnswer: 13254764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 190 = 192 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = 3*y + 8*y - 5*o + 102, -38*y - o + 3 = -33*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 13. Suppose 11 = -f*c + 5. Does 5 divide c - (-31 + 0 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 4 (c) -0.2 (d) 2 (e) -3\/2 (f) -15\/43 (g) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 228.\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-3)*(-14)\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9*3*1\/(-9). Let u = r - -6. Suppose -i = -4*c + 9, 4*i + 0*c - 36 = -2*c. Solve -u*p + 1 = i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - -2 - 2 - -12. Suppose -w - 3*i + 6*i + 11 = 0, -5*i = 15. Let j be (-5)\/w*g\/(-20). Solve -1 + j = t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 14*t**2 + 8*t + 143. Is z(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 4 = -2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 1\/5 (c) 84 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 35*p + 2. What are the prime factors of f(1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -14*t + 3. Let u be f(-3). Let y = u + -43. What is the third derivative of 14*a**y - 5*a**3 - a**3 + 15*a**3 - 5*a**3 wrt a?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 19\/62, -2, 1.05427?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 5. Let f be (-5 - -2) + 5\/2. What is the closest to f in -0.1, d, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 693 and 3465.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5605813543\/14910 + -1879884\/5. What is the common denominator of b and -109\/42?\nAnswer: 2982","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 5 = -3*j. Suppose 0 = j*k + 4*y - 1241, -3*k + 3*y = -84 - 666. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -7*w + 9*w. Let q(a) = a**2 + 3*a - 3. What is q(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from {t: 1, n: 1, i: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117620250.\nAnswer: 2, 3, 5, 11, 53, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 5*f + 24, 305*j - 309*j - f + 8 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 102 - 2*g**2 + 54.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -916216*r + 11. Let u be v(-37). Let b = 11 + -8. Suppose -2*m - m = b*s + 33899991, s - u = 3*m. What is m rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 15*t. Let c(v) = -v**2 + 20*v. Let h(x) = 3*c(x) + 4*z(x). Let k(f) = -7*f. Determine k(h(o)).\nAnswer: 49*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f - 14. Let u = -90 - -82. Let z be p(u). Calculate the least common multiple of z\/(-20)*(-2 - (-10)\/3) and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-1 - -2)\/((-7)\/(-28)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-12)\/10)*-14. Let r(o) = -4*o - 4*o**2 - o + 56*o**3 - 6 - 57*o**3. Let l be r(-4). What is the greatest common factor of z and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 36 = 8. Let l = 324 + -325. Which is the nearest to l? (a) 2 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*n + 15*n**2 - 16*n in the form t + r*n**2 + w*n and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (2 - (8 + -12))) + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (39396\/5 - 3) + (-1)\/5. Suppose 4*y + 512 = p. Suppose 7*v + 0*v - y = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 103398480 and 108.\nAnswer: 310195440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**3 - 4*p**3 - 18 + 15 - 4*p + 4*p**3 in the form c + h*p**2 + n*p**3 + l*p and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 5:01 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*w + 52 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1. Let x = 16 - 35\/2. Let a = 41 + -121\/3. What is the nearest to q in a, 4, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 3*q + 121, -2*q = -0*u + 2*u - 78. Let y = 64 - u. Factor 28*j**4 - 3*j**4 - 5*j - 5*j**4 - 5*j**5 - y*j**3 + 20*j**2.\nAnswer: -5*j*(j - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*-1.9\nAnswer: 17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) - (sqrt(210) + (sqrt(210)*2 - sqrt(210) - sqrt(210) - sqrt(210)))\/sqrt(5))\/(sqrt(726)*-2 - sqrt(6)).\nAnswer: -sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1004 = -3*u - 3*r, r - 996 = -4*u. Let p = u + -199. Sort 0, p, 2.\nAnswer: 0, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 320, -6, 5, 0, -4, -15 in descending order.\nAnswer: 320, 5, 0, -4, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 0) + -88 + 92 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 726\/5 + -146. Let u = 14\/5 - n. Let b = 231\/2 + -113. What is the common denominator of u and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11937, -13509, -15149, -16863, -18657, -20537, -22509?\nAnswer: -24579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1056 take away 1659550875?\nAnswer: -1659551931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -115235 - -100?\nAnswer: -115135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 4, -36, -20 in descending order.\nAnswer: 56, 4, -20, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 9338.805 to the nearest 100.\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/638 and -45\/532.\nAnswer: 169708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 - 2*q**2 + 3*q - 104. Determine b(0).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1310970, -1310971, -1310972, -1310973, -1310974, -1310975?\n\"Answer: -g - 1310969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3)*l\/(l**3\/l))\/((l*l**(-4)*l)\/(l\/(l**(-2\/7)*l)*l*l)) assuming l is positive.\nAnswer: l**(62\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 - 76\/(-10))\/((-6)\/(-5120)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*j = 2, 4*z - 6*j = -5*j + 8. Suppose 0 = -z*i - 14 + 30. Suppose -4*y = -12, 2*w - i = 3*y - y. Let a(f) = -f**2 + 8*f - 7. What is a(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 6:12 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -185*t + 101. Calculate the remainder when q(-2) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 867\/2*(12 + (-396)\/54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122023232 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 13 = 38 + 5 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 5*y - 4*j - 790, y = j + 394. Suppose -9*s + 1347 = y. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.44532022 minus 3.4312?\nAnswer: 6.01412022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/27 + (-814096)\/(-3663270). Let t = z + 2644407\/131063660. Let c = t + 2761\/805. Calculate the common denominator of 31\/2 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 276 + -324. Put b, -2\/3, 2\/5 in increasing order.\nAnswer: b, -2\/3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 5*d**2 + 2*d - 4. Suppose -2*y - 34 = -3*r, 0 = 2*r - 0*y + 4*y + 4. Calculate the smallest common multiple of r and k(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*j + 256 = -154 + 80 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2243 + -2231 + (-3 - 0 - -6 - -12)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(325) + 3 + sqrt(325))*1)**2.\nAnswer: 1500*sqrt(13) + 32725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**4 + 76*f**3 - 15470*f**2 + 225588*f - 210195 = 0.\nAnswer: -173, 1, 15, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.55, -1.5, 0.127, 0, -0.2?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 - 207\/27)*-18. Which is smaller: a or 92\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60*3\/(-48)*(-8)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(10\/(-42)))\/(-1). Let v = o + 3. Let s be (-3)\/(v\/15) - 2. Which is the biggest value? (a) 3 (b) s (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 27308\/21545?\nAnswer: 27308\/21545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, 34.9, -4, -1.\nAnswer: -7, -4, -1, 4, 34.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d - 23066 = -8*d + 13*d. Is -1213 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 55513534 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(26)*-2*-3)\/(sqrt(24)\/(1*sqrt(12))) + (0 + sqrt(1872))*-4 + 1 + (sqrt(1872)*2 - sqrt(1872)))**2.\nAnswer: -60*sqrt(13) + 11702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2*u + 6*u)*(-3*u + 3*u - 3*u**2) - 18*u**3 - 7*u**3 + u**3 - 5 + 5 - 2*u**2 - u**3.\nAnswer: -34*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 373658 and 368?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/(-300)*15)\/((-1)\/(-16)). Suppose -3483 = -17*r + a*r. Does 20 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 7. Let z be g(-5). Suppose z*k + 9 = 1. Let f = -33.3 - -33. Which is the third biggest value? (a) f (b) -1\/4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 5:47 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 5)*(2*o - 93*o - 50*o)*(-5*o - 6 + 6)*(0 + 0 - o) to the form d*o**3 + c + w*o**2 + l*o and give d.\nAnswer: 705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 5:59 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (336\/560)\/(18\/70)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 2. Suppose 1 = j*k - 4. Calculate the remainder when k is divided by -1*1*(0 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 - 35*y - 10. Give i(18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (36\/8)\/(3\/4). Let j be n\/(3\/(-8)*-1). What is the greatest common factor of 48 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 3)*(-904 - 217*k + 904)*(-311*k + 278*k - 2 + 1) as s + u*k**2 + m*k and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from opx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3 - 1223*t**2 - 89462*t - 174040 = 0 for t.\nAnswer: -1145, -76, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -140 + 195. Suppose 9*r - 13*r = 5*w - s, -2*w = -5*r + 11. Solve -w*x = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b**3 + 13*b**2 + 17*b - 1. List the prime factors of p(7).\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bbfd (base 16) to base 14.\nAnswer: 2d5c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 5 = 0, 22*j = 26*j - 4*m - 24 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52760 = -21*x - 18362. Calculate the remainder when x is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -74789454\nAnswer: -1\/74789454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2174, -13887, -33396, -60695, -95778, -138639, -189272, -247671?\nAnswer: -313830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/163 - 151\/652. What is the second biggest value in f, 1.7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3670*n + 219. Is w(-32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 7 = -4*b - 23, 0 = -4*b - 2*l - 4. Let h = 6 + -10. Which is bigger: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -0.1 (b) 0.07 (c) 1\/6 (d) -142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 + j**2 - 11*j**3 + (1 + 3*j - 1)*(-3*j + 3*j + 2*j**2) + 10*j**3 - 12*j**3 + 11*j**3 to q + a*j**3 + x*j + n*j**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 - 39. Suppose 0 = 2*h - 7*h + 30. Let t(m) = 2*m - 9. Let z be t(h). Calculate the greatest common factor of j and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, z: 1, d: 2, k: 2, v: 1}. Give prob of sequence md.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9.09, 0.3, -0.2, -0.1?\nAnswer: -9.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 8*s**2 + 8*s - 5. Let h = 2 - -5. Calculate the smallest common multiple of p(h) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -7*t. Solve -4*n - 2 = l - 3*l, 5*l + n - 16 = t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**4 - 108*m + 2974*m**3 + 1041*m**3 + 106*m + 436 wrt m?\nAnswer: 12*m**2 + 24090*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*v - 439 + 1545 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11 - 14003.\nAnswer: -14003.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/35*-30 + -7. Solve 0 = r*q - 2*q - 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 4:32 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1509 + 2890. Let b = c - 385. List the prime factors of b.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 9*q**2. Let r(d) be the second derivative of d**4\/12 - 2*d + 10. Determine w(r(f)).\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.149? (a) 0.1 (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1011550688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 489 = -0*t + 5*t, -2*t = 4*c - 990. Let q = -49\/38 - -28799\/114. Let a = c - q. What is the common denominator of -24\/11 and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 - 497*w + 14740. Determine o(29).\nAnswer: -1355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-8))\/((-7)\/8). Let l(m) = -2*m - 20. Let t be l(-9). Which is the nearest to 1\/3? (a) t (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1\/3, 4\/3, 2, 10?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11845 + 11850. Let y(a) be the first derivative of -1\/12*a**2 + 5\/24*a**4 - 1\/10*a**5 - 1\/18*a**3 + 0*a - u. Factor y(g).\nAnswer: -g*(g - 1)**2*(3*g + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**2 + 15*t**4 + 20*t**4 + 11*t**2 + 5*t**4 - 16*t**2 - 6 as n*t**2 + k*t + j + d*t**4 + m*t**3 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1116782.57 rounded to the nearest 100?\nAnswer: -1116800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*s - 7, s = 6*s - 5. Does 14 divide 12\/((-34)\/p + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 3383668?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 305*k + 34. Let u be f(3). Suppose 0 = -4*l + 12, l + 92 = v - u. Is v a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqcqqcqhhh. Give prob of sequence hqh.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-56))\/((-90)\/32*8\/12)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 70 + 120 = 0. What are the prime factors of u?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nineteen quarters of a gram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b. Let l be (3\/6)\/((-2)\/(-4)). Let d be a(l). Factor -f**3 + 2*f**d + f**5 + 0*f**4 + 2*f**4.\nAnswer: f**3*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88\/16 - (-6)\/(-12)) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/72)\/(6\/72).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3720 and 66840.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 divided by 8768?\nAnswer: 163\/8768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2393 + 3440. Calculate the remainder when p is divided by 48.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/4*2\/((-2)\/(-5)). Let w = -0.3 - -0.1. Let d = w - -0.1. What is the nearest to d in 5, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from puurupuwpupuuhpuu. What is prob of sequence ruh?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/25 + (-54)\/10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -973863 or -973864?\nAnswer: -973864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -268758 by 162.\nAnswer: -1659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -13 + 11 - -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5}. What is prob of picking 2 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 12*g**2 - 1184*g + 136242. Let l(b) = b**2 - 14*b. Let x(i) = -2*h(i) + 20*l(i). Factor x(r).\nAnswer: -4*(r - 261)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*o - 110*o - 367*o**3 - 2.\nAnswer: -367*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1160 = 2*z - 16. Is 39 a factor of z - (-6)\/8*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -5*g + 3*u, -4*g - u = -0*u + 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34460 - -34465. Solve -3*b = -6*a - 15, q = 12*b - 7*b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/270)\/((-2)\/(12\/(-2)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 937 + -937. Let j(m) = -m**2 + 3*m + 4. Let y be j(4). Suppose 5*q - 12 - 8 = y. Is o at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/14)*y)\/y**17 assuming y is positive.\nAnswer: y**(-221\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -1\/4*o**4 + 1 + 0*o**2 - 3*o - 2*o**3. Calculate j(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -284147081 or -284147080?\nAnswer: -284147081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 5*t + 11. What is g(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -1699c0?\nAnswer: -1699be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 385812979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3510 divide 2168788124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -196*p**2 - 61*p**2 + 2*p**3 + 256*p**2 - 689 as j*p**2 + m*p + k + l*p**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2984? (a) -1 (b) 62\/9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + r + 1. Let u(d) = -3*d**3 + 9*d + 3. What is u(b) - 4*x(b)?\nAnswer: b**3 + 5*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 946*f - 5658. Let u be v(6). Solve 3*l + u = -h + 19, -29 = 5*h - 2*l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -19. Let l = 150.9 + -163. Let r = k + l. Sort 0, -1, r.\nAnswer: -1, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138845409 and 1935.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 3) + (14 - 5). Let c(d) = 3*d + 3. Let a(x) = -6*x - 5. Give r*a(i) + 5*c(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -4, 0.4, 3\/7.\nAnswer: -4, -3\/5, 0.4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h*q**2*u**6 - 2819*h*q**2*u**2 + 5*h*q**2*u + 499137*h*q*u**3 - 8*q**2*u wrt u?\nAnswer: 240*h*q**2*u**3 + 2994822*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.50769 millilitres in litres?\nAnswer: 0.09850769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.54 - 3.\nAnswer: 5.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*a - 13*a + 13*a to the form q + y*a and give y.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824\/14 - (-2)\/14?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 102170917?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7316 and 2408734.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 206, 212, 230, 266, 326, 416, 542?\n\"Answer: s**3 - s + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 1, 8\/9 in ascending order.\nAnswer: 1\/3, 8\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -319 (base 11) to base 16\nAnswer: -17f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53\/25 + -38\/25. Determine s, given that 3\/5*s**3 - 3\/5*s + 0 + 3\/5*s**4 - l*s**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t**5\/5 + 4516*t**4\/5 - 53872*t**3\/5 - 592*t**2\/5 + 43136*t - 69888\/5 = 0 for t.\nAnswer: -2, 1\/3, 2, 12, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -56.\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100 - 64. Suppose -28 = -4*f - 3*h, 2*h - m = -5*f - 2*h. Suppose -f*x = -14 + 6. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-350)\/105)\/(2\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133596, -133598, -133600, -133602, -133604, -133606?\nAnswer: -133608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 + 175 = 2*n. What is the remainder when 81 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27\/8 + 13\/4. Sort 2, 0.1, p in decreasing order.\nAnswer: 2, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 24*t + 8. Let m(n) = -25*n - 9. Let w = -2201 - -2207. Calculate w*m(g) + 7*z(g).\nAnswer: 18*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 246*p**4 - 66*p**3 + 590. What is the third derivative of v(k) wrt k?\nAnswer: 5904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 6:30 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 2*(-3 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (924\/(-15))\/(-4) - 8\/20. Calculate the highest common divisor of a and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from {g: 3, u: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p - 2. Let j(i) = -i + 1. Let f(q) = -3*j(q) - 2*o(q). Let b be f(1). Let x be 4\/(-8)*b\/(-4). Solve -3*y - 12 = -x*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2523, -2\/23, -2\/5, -7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32521 is divided by 845.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -14, 394, -4, -5, 1 in descending order.\nAnswer: 394, 6, 1, -4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t - 6 = -12*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(15)\/sqrt(3) + -3 + -2.\nAnswer: -5 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1172)\/24 - -2)\/(78\/4) - -3 and -73\/39.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 161 and (-4)\/(-18) - ((-13030)\/90 + 7).\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 30671488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5918038.\nAnswer: 2, 7, 23, 18379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.67 in 3, -5, 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 180\/28 - 9\/(-27)*-15. What is the closest to u in 1\/2, 0.2, -3\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(80) - (4 + sqrt(252) - sqrt(252))**2) + (sqrt(7) - (4 + ((sqrt(7) + -3 - sqrt(7)) + sqrt(7))**2))*6*-4.\nAnswer: -671*sqrt(7)\/4 + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*s + 11*s - 17*s**3)*(1 - 1 + 2)*(5*s - 3*s - 5*s) to the form c*s**4 + a + f*s + l*s**3 + j*s**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 212915951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -11.519, -102, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20011 - -20016. Sort 4, y, 28, 1.\nAnswer: 1, 4, y, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 71 = -33*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 - 4*l**2 + 9*l**2 + l**2 - l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2*22\/(-16)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 115459, -1\/3, -1957 in increasing order.\nAnswer: -1957, -1\/3, 115459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 296334 divided by -3\nAnswer: -98778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(204)\/(sqrt(48)\/sqrt(4))*-5)**2 + (-1 + sqrt(17) + 1)**2*-2).\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 10. Suppose 0 = w - 3*w + 16. Let p be q(w). Put 4, 1, p in descending order.\nAnswer: 4, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1497865635.\nAnswer: 3, 5, 7, 37, 42839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1054*u + 4268091 - 4268091)*(4 - 2 + 0)*(-2 + 2 - 2) - 2*u + 3*u - 4*u.\nAnswer: 4213*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8053953139 - 8053953095.00000037. Let v = -81 - -125. Let z = x - v. Round z to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 75870097 and 75870100 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46\/7*y + 2\/7*y**3 - 18\/7*y**2 - 30\/7.\nAnswer: 2*(y - 5)*(y - 3)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2991558414 - -2991555717.001591. Let x = v - -2697. Round x to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 807*g + 4211. Let x be j(-5). Calculate the greatest common divisor of x and 41360.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -33182, -65691, -98196, -130697, -163194?\n\"Answer: 2*t**2 - 32515*t - 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14752, 15059, 15366, 15673?\n\"Answer: 307*x + 14445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-7\/4)*r\/r**(2\/9) assuming r is positive.\nAnswer: r**(-35\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 10:45 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79349\/210 + 2648\/7. What is the common denominator of 81\/2 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4*(567\/(-7) + 7). Suppose 164 = -k*l + 115*l. List the prime factors of l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12818 (base 15) in base 16?\nAnswer: e73e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/24 and -14\/285.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/5)\/(4*(10\/50)\/(-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-341\nAnswer: -170.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1822240 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 10*c - 7. Let f(u) = u. Let a(i) = 3*f(i) + g(i). Let l be a(8). Sort -3, l, 3 in ascending order.\nAnswer: -3, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 20 = -4*f. Suppose -3*k = f*s + 19, k - 2*s - 14 = -2. Suppose 3*n - 3*v = 0, 0 = -3*n - 5*v + 13 + 3. Solve x = -k - n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 41766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.3? (a) 0.04724 (b) 24 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20429\/9 - -20974\/9. Let q = h + -2381\/36. Calculate the common denominator of -3\/2 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1)*(-3*c**4 + 2*c**4 + 2*c**4) + 257 - 257 + 156*c**4 to the form f*c**2 + y*c**3 + m*c**4 + n*c + g and give m.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 0*v**2 - 3*v**2 + 0 + 0. Let u(p) = -4*p - 3. Let c(o) = -1 - 4 - 3*o - 4*o. Let l(a) = 3*c(a) - 5*u(a). What is l(t(n))?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2 - 3*h - 2. Let s be f(-1). Suppose -5*x = -l + 10, s*x - 2 = -l - 1. Solve -l*r + 4 = 4*u + 10, 4*r = 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -6. Let n(k) = 3*k**3 + 4*k**2 + 6*k. Let b(u) = 4*u**3 + 4*u**2 + 7*u - 1. Let a(v) = 2*b(v) - 3*n(v). Let d be a(-2). Which is smaller: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132554.\nAnswer: 2, 191, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.2 + 14. Let a = -4 - -6. What is the closest to a in p, -2\/3, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7218 (base 9) in base 12?\nAnswer: -3082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3775 - 3775 - 32*d**3 - 2*d**2)*(54*d - 110*d + 59*d) in the form c*d**4 + i*d + n*d**2 + x*d**3 + y and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -409 - -400. Which is the third biggest value? (a) 0.3 (b) f (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -7*z**2\/2 - 5*z - 26. Let c(h) = -3*h - 2. Let s(a) = 5*c(a) - 2*u(a). Determine s(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20120134 - -4?\nAnswer: 20120141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100*d - 536*d - 617*d - 6854 + 207*d - 1301*d wrt d.\nAnswer: -2147","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*k + 7130 = -92*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 - -85. Suppose -y = -q - h, 2*q - 4*q - 8 = 0. Differentiate -f**y + 4*f**2 + 2 - 22*f**2 + 17 with respect to f.\nAnswer: -38*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -261*r + 1975. Determine h(8).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 117*n - 115*n - 4784. Calculate the remainder when n is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4270326 weeks to days.\nAnswer: 2.9892282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 145?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -0.86. Let q = n + -0.36. Let l be 12\/7 - (-2)\/7. Which is the closest to 0.1? (a) l (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58211217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -50. Let d be t + 10 - 604*2. Let i = d - -2078. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -24772\nAnswer: 5\/24772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 787738 is divided by 5923?\nAnswer: 5902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1818, 2338, 3052, 4056, 5446?\n\"Answer: 16*u**3 + u**2 + 405*u + 1396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 < -41.035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 divided by 9141.\nAnswer: -83\/9141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 31. Which is the second biggest value? (a) 3 (b) l (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33629188883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -1, 0.138, 3, 4 in descending order.\nAnswer: 4, 3, 1, 0.138, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -19284, 5, -9, 13, -1, 3 in decreasing order.\nAnswer: 13, 5, 3, -1, -2, -9, -19284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 391469657 and 2738?\nAnswer: 1369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1308.6*-143.2\nAnswer: 187391.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14447123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78635 + -549449\/7. Let h = b + -5717\/42. Calculate the common denominator of 4\/(-10) + (-361)\/(-15) and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*m + 37*m - 18 = -4*v, 13*m + 3*v = -193 + 76 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 18*a + 21.\nAnswer: -3*(a - 7)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*m**3*t**2 - m**3 + 4*m**2*t - m*t wrt t.\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*t - 2\/3*t**2 + 10\/3.\nAnswer: -2*(t - 1)*(t + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -379193?\nAnswer: 3\/379193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6860 and 872200.\nAnswer: 6105400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.08 and 9.5.\nAnswer: 8.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (0 - 6 - (-1 - 6)). Let q(m) = -m**3 + m - 8. What is q(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 234.54962 to two dps.\nAnswer: 234.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 17 - 3)*(44*a - a - 4*a) as b*a + v and give b.\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s - 6. Let w be f(4). Let i be 2\/w + 6\/(-126). Factor i + 0*p - 2\/7*p**2.\nAnswer: -2*(p - 1)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - j + 1. Let q be z(1). Suppose -q*n + 11 = -9. What is the highest common factor of 80 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5\/24 + 11\/24. What is the smallest value in u, 1\/184, 5?\nAnswer: 1\/184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + -2 - (1 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2068 divide 124945205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*c + 8*c = 23*c + 805 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 2, -11 in increasing order.\nAnswer: -11, -7, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 745*d**2.\nAnswer: -5*d**2*(d + 149)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -6786\/721105 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/((-2310)\/176))\/(2\/27*6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 - r**3 + 2*r**3 + (0 + 0 + 2*r**2)*(-2 + 2*r + 2) - r**3 - 2 + 2 - 144*r**3 + 504*r**3 - 41*r**3.\nAnswer: 324*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 g when two letters picked without replacement from {m: 2, y: 1, b: 1, g: 4, p: 8}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -6*w + 1. Let h be u(-1). Suppose -6*k = -5*j - 10*k - 68, -3*j - 4*k - 44 = 0. Let a = h + j. Let c(b) = -b**3 - 5*b**2 + 5*b + 5. Determine c(a).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2 - 790*v + 4668 = 0. Calculate v.\nAnswer: 6, 389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13591\/5 at most as big as 2.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*s + 9, -5*s - 6*b + 2*b - 12 = 0. Which is smaller: -1\/14 or s?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.02 + 0.22. Let h = 5203 - 46826\/9. Which is the closest to -1? (a) 0.07 (b) h (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.1 - 10.1. Let d = -938 - -943. What is the third smallest value in -5\/3, m, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 5*r = -6. Solve -5*h - r = 22 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*v - 124*v + 473216*v**2 - 473222*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -346, -667, -992, -1321, -1654?\n\"Answer: -2*q**2 - 315*q - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/((-180)\/(-27)))\/2. Let a = 6 + -3. Let q = 3.3 - a. Sort -4, h, q.\nAnswer: -4, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -194.776 - -198.9. Let x = 0.124 - o. Put 6, x, 2 in ascending order.\nAnswer: x, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**4 - m**3. Let t(h) = -h**3 - 7. Let w(o) = k(o) - t(o). What is the first derivative of w(g) wrt g?\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c**5 - 104*c**4 + 236*c**3 + 6096*c**2 - 18278*c - 6760 = 0. Calculate c.\nAnswer: -13, -1\/3, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r - 55018*r**2 - 13*r - 3*r**3 + 55018*r**2.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/7434 and 139\/1416.\nAnswer: 29736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*i**2*q - 14452*i**2 + 31107*i*q - 11*i wrt i?\nAnswer: -50*q - 28904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0, -5, -8\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 179 - 19 = 0. What is the remainder when y is divided by (0 - -3 - -12) + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -16. Let v(h) = g + 0 - 2 - 9*h. What is the units digit of v(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 68506*m**3 - 4*m**2 + 294590 wrt m.\nAnswer: 205518*m**2 - 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 14. What is the units digit of (6\/(-3) + 9)*s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -b - 3. Let k be 13 + 5\/b + 1. Let u(t) = t + 11. Calculate the remainder when u(k) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - -1.9. Let n = j + 0. Let q = n + -1.9999892. What is q rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 173 - 16f?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 744599407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*s + 329 - 329.\nAnswer: -55*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -128503\/2682 - 5170\/149. Let g = 806\/9 + s. Find the common denominator of 121\/6 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/8*4\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4207 greater than or equal to -147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 697077 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 2*l**2 + l - 1. Let w be b(2). Let i = 4 + w. What is the smallest common multiple of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -187.1?\nAnswer: -56.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 200120 (base 3) in base 5?\nAnswer: 4001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*y + 27, -3 = -3*y + 12. Suppose 0 = 4*t - v*t + 48. What is the remainder when 8 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/10939320 and 41\/252.\nAnswer: 10939320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -47*l + 2. Let c(a) = 104575*a. What is c(t(u))?\nAnswer: -4915025*u + 209150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1769 + -1693.34. Let f = v + -75. Let i = 0.16 - f. What is the third biggest value in -0.2, 2\/11, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7470961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/257715 and -163\/26910.\nAnswer: 6700590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/3)\/r**16)\/(r**(-1\/2)\/r)**(-44) assuming r is positive.\nAnswer: r**(-248\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 2:55 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 0 + 2*z**3 - 4\/7*z + 10\/7*z**2 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 26*d - 108. Determine n(20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -414 - -422. Let r(s) = 3231*s + 79. Is r(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19123852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -331*u**5 - 268*u**2 wrt u?\nAnswer: -19860*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cxxxxcxxxxxxxxxxxcxx. What is prob of sequence xxxx?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - i**2 + 2*i + 2. Let r be o(-2). Let h(c) = -c + 2. Let x be h(r). Solve x*f + 6 = 3*f, -5*t - 5*f + 5 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18225931.\nAnswer: 719, 25349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*f - 0*l - 282, -441 = -3*f - 3*l. Suppose f = 4*y - 75. List the prime factors of y.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 26. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.851 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 11*i**2 - 43. Let b(w) = 2*w**2 - 7. What is 34*b(d) - 6*s(d)?\nAnswer: 2*d**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, d: 6, t: 3, m: 2, y: 2}. Give prob of sequence tsyd.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t - 9. Let v be u(10). Does 7 divide ((-4)\/(-3))\/(2\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 (base 7) in base 10?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 133, -10\/9, 430?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.05837214?\nAnswer: -0.011674428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 259121004746232?\nAnswer: 259121004746231.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n**2 + 3. Let d(c) = -c**3 - 5*c**2 - 17*c - 8. Let v be d(-4). Let r(j) = -36*j**2 + 22. Give v*q(g) - 6*r(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-37*k - 6*k - 22*k)*(-3 - k + 3) - 2*k + 2*k - 2*k**2)*(-2*k**2 - 2 + 2).\nAnswer: -126*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(40\/9)*i*i*i*i*(((i**7*i)\/i)\/i)\/i*i*i\/(i\/i**(-11)*i)*i**(3\/10)\/i assuming i is positive.\nAnswer: i**(247\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 696150 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, 2, -4, -5 in ascending order.\nAnswer: -93, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 + (-120)\/(-16))*(1 + 13). Calculate the remainder when (8 + -1)*(j + 9) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 13 = 2*n, 4*n + a + a + 18 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 75123, 130773, 186423, 242073, 297723?\n\"Answer: 55650*j + 19473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*k - 10773 = 25799, 2 = -k. Is s a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 5:48 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -15319109307?\nAnswer: -15319109307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k**2. Let i(n) = 3*n - 45371. Determine i(f(o)).\nAnswer: 21*o**2 - 45371","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6357.959 weeks?\nAnswer: 3845293603200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 470857 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.024 and 6514713311?\nAnswer: 6514713311.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 319876 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/9*(-603)\/402. Let t be ((-2)\/6)\/((-3)\/(-9)). Which is the nearest to r? (a) 0.4 (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 720657?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10244 + -10291. Put -4, f, -7 in decreasing order.\nAnswer: -4, -7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = z - 3 - 4, q + 5*z = -1. What are the prime factors of q\/(-15) - 3699\/(-15)?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c (base 16) in base 2?\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 668 by 165603.\nAnswer: 668\/165603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m**2 - 3*m + 5. Let f be q(3). Let s = f + -43. What is the remainder when 24 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.68872 centimeters to kilometers.\nAnswer: 0.0004268872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 greater than 163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (8 - 7) + (-4)\/(-50) and -97\/80.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -341, -31, -3 in ascending order.\nAnswer: -341, -31, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -422.9, -11\/148, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337808*n - 340418*n - 186 + 186.\nAnswer: -2610*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2611, -4, -3, -3\/2, 0.1, 1 in decreasing order.\nAnswer: 1, 0.1, -3\/2, -3, -4, -2611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(9\/(-26)) - (-1 + 3))*(-55512)\/(-80184). Determine h so that -22\/13*h - 6\/13*h**3 + j + 20\/13*h**2 = 0.\nAnswer: 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 812 by -116.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3796000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*r - 64159 = -53*r + 309929. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**6\/60 + g**4\/24 + g**2 - 1. Let p(b) be the second derivative of j(b). What is the second derivative of p(f) wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*(sqrt(170) - 1*sqrt(170)))\/((-6*sqrt(160) + sqrt(40))\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.184 - 0.154. Which is the third biggest value? (a) 0 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 646 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 133101661?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 64\/5 + 6\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -161 - -159. Let f be 5\/10 + (-58)\/4. Let a be 12\/42 - (-46)\/f. Is a != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = 11*p + 60 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -144*o + 294*o - 1800 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -4*n + 15, -4*y = 190*n - 192*n - 38 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 + 2*p - 22. Calculate t(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 x, and 1 j when four letters picked without replacement from oyjoooyxyoojyjjjy?\nAnswer: 15\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2\/2 - 3005*m + 173449\/2 = 0.\nAnswer: 29, 5981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 4. Solve -5*p + 4*p + 7 = -2*j, -j + 10 = -x*p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 + 0*g**2 - 3*g**2)*(-2*g - 2 + 2) + 123*g**3 + 19 + 3 - 22.\nAnswer: 121*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 5.798728.\nAnswer: 2.3194912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + -2)\/(-2 + 1). Suppose -5*z = -5*h - 40, 0*h = -5*z + 3*h + 30. Which is the biggest value? (a) d (b) 0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + 1*sqrt(119) + sqrt(119))*-3 - sqrt(119) - -2*sqrt(119)*-5)\/((sqrt(343) + -1*sqrt(343)*5 + sqrt(343) - sqrt(343)) + sqrt(343)).\nAnswer: 20*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 2*y - 11*y + (y - 5*y + 2*y)*(-4 + 4 - 2))*(y**3 - 2*y**3 + 0*y**3).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -322 by 14.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnkha. What is prob of picking 1 t, 1 h, 1 a, and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106 + -75. Let h be i\/2*2\/1. Let g be (-279)\/(-12)*(-8)\/(-2). Calculate the greatest common divisor of g and h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c*x**4 - 38159560*c*x**3 - 530*c - 10790*x**2 wrt x.\nAnswer: -24*c*x - 228957360*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wkwe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 7*q**2 - 6*q + 9. Suppose 0 = 4*w - w + 27. Let j = w - -19. Calculate the remainder when z(5) is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3 = d. Is 15 a factor of (-4 + -9)*d*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5192801.\nAnswer: 5192801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 - -127. Suppose r - 4*r = -p. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d + 2. Let x(c) = c**2 + 1. Let b be (-90)\/12 - 3\/(-2). Let a be b\/(-12) + 15\/6. Give a*x(r) - s(r).\nAnswer: 3*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grjg. What is prob of picking 2 g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqdd when four letters picked without replacement from {d: 7, q: 9}?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1591 - 3?\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 258 = 2*p. Suppose -p = 4*b - 8*b + 5*u, -4*b + 119 = -3*u. What is the lowest common multiple of 2*-2*10\/(-4) and b?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -527*z - 854 - 9629 = 1111 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -1 - (39 + -37)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - x + 2 = 0, 5*y + 2*x = x + 30. Solve -y*g - 6*g**2 + 3 - 3*g + 7*g + 3*g**2 + 3*g**3 = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -377 + 10*o + 377 - 2*o**3 to the form u*o**3 + s*o**2 + w + k*o and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24015 is divided by 23984?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = -2*a, -a + 0 + 4 = -2*i. What is the third biggest value in 17, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 3:57 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 362006874 a multiple of 1251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.81999538 + -4.82. Round g to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**3\/7 - 1713*j**2\/7 - 3435*j\/7 - 1719\/7 = 0.\nAnswer: -1, 573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 - 6*r**2 - 3*r + 7. Let f be a(-5). Let p = f + -85. List the prime factors of p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7147729783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + (2 + sqrt(720)*1 - sqrt(720) - sqrt(720))**2.\nAnswer: -48*sqrt(5) + 723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2305*g - 39437 - 75336 = -1828 for g.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*f - f - 70, 6 = 3*k. Let l be -1 - (3 - f\/4). Find the third derivative of w**2 + 8*w**4 - 2*w**2 + 0*w**l wrt w.\nAnswer: 192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1 + (5*sqrt(243) - sqrt(243)))**2*-5 + -2 + 4)*-4.\nAnswer: -311088 + 5760*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 66\/13 in 1\/3, -0.03, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -6.278 and 83 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**6 - 41*f**3 - 218*f**2 wrt f?\nAnswer: -240*f**3 - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58\/(-1131))\/((175\/(-210))\/5)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d - 72 - 23 = 0. Solve t = d*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 19 = 6. Calculate the highest common divisor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4 - 10*b**3 + 14*b**2 + 10*b - 12 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-42573)\/(-13) - (-58)\/377?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) 57\/16 (c) -1\/2 (d) 2 (e) -2 (f) -0.0004\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-8)\/((-440)\/5)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-394)\/(-1182)*(833613 - (0 + 0)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-4 - (2 - (9 + -6)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -151\/5, -0.3, -19.6, -0.2, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 d when four letters picked without replacement from {d: 2, t: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4254630, 4254632, 4254634, 4254636, 4254638?\n\"Answer: 2*y + 4254628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/(-912)*(-9)\/(-12). Is -1 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -317 * -0.019.\nAnswer: 6.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 8*a + 11. Let v be (-171)\/(-27) - 4\/(-6). Let m be k(v). Find the second derivative of -m*f**2 + 4*f**2 + 11*f + 2*f**2 wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336*s + 327*s - 1413 = 0. What is s rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 + -41. Let u be 20\/d + -4 - 3. Solve 2*c + 6 = -5*h, u*h - 6*h + 5*c - 16 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15916, 3, 1\/3 in descending order.\nAnswer: 3, 1\/3, -15916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -335 + 319 - (4 + 3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1100*v**3 + 37*v + 1?\nAnswer: -6600*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 428, 636, 412, -460, -2196?\nAnswer: -5012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (203 - (372 - 174)) + (2 - 1) + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 16*h - 108. Let l(y) = -11*y + 72. Let o = 27 + -19. Let z(a) = o*l(a) + 5*c(a). What is the derivative of z(n) wrt n?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 6:19 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 868 + -858. Solve r*d - 12 = -2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 35*v = 32*v + 8, -d = -2*v + 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 less than 3278728329?\nAnswer: 3278728529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-195)*(-2520)\/(-1400).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 129 and 132.\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2387878*x**5 - 7108637*x.\nAnswer: -47757560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -605726?\nAnswer: -605722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0389908 - -0.039. Round b to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4*r + 120, 0 = 3*v + 2*r + 26 + 44. Let k be (2\/(-3))\/(v\/(-39)). Is k + -1 - (-6 - 405) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.5774 rounded to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 4:31 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 14*f - 2. Let c(a) = -a**2 + 12*a - 13. Let v be c(9). Let s be y(v). Calculate the lowest common multiple of 7*s\/(-4)*2 and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -a + 25, -67 - 20 = -3*a - h. Suppose -7*l + a = -0*l. Solve 0 = -g + 1, l*z + z - 12 = 3*g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-5))\/(-46*(-128)\/1472)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 + 12*u - 26. Let b be h(-8). Let p(w) = -11*w. Let v(k) = 12*k. Give b*v(j) + 7*p(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -c + 14 + 3, -z = c - 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 0*p**2 + p + 1\/3*p**3 + 0. Let i(s) = 3*s**2. What is i(u(k))?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 (base 10) in base 11?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*p - 158, 4*p - z - 64 = 252. Solve -22*l - p = 9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 1042 - 1024 = -g - 4*c, 29*g = -5*c + 28 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3999*d = -3942*d + 399 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - 28.1. Let n = c + 23.8. Sort -0.3, -1.3, n in increasing order.\nAnswer: n, -1.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-18)\/432*(-12)\/(6\/2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/3 of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1058239961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 423321.5ug?\nAnswer: 423321500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -92360.5 rounded to the nearest one hundred?\nAnswer: -92400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1216 is divided by 1207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 103494058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 * 5.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 31*q + 8. Let y be a(-8). Let n be y*(-29*2 + -2). Round n to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-56)\/(-24))\/((-4)\/(2*-6)). Suppose 5*b - 22 = -0*b + x, 0 = -5*x - 10. Solve 2*m - 20 = 2*d, 5 = q*m - 2*m + b*d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-1*(7 + (-132)\/18)). Solve 7 = -x + 10, f*z + x = 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 10:45 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26\/3, -0.1, -23?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0 + 0)*(0*v - 2*v + 0*v) + 5*v - 5*v + 5*v**2 + 0*v**2 + 4*v**2 + 0*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11719 - 5781 - 5875 + 2*s.\nAnswer: 2*s + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 359328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*c - r - 721, -283 = -2*c - 5*r. Solve 198 = 9*d + c for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -288*w**4 - 1706*w**3 + 5138*w**2 + 44036*w + 58480 = 0?\nAnswer: -5, -4, -2, 731\/144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27d4 (base 15) in base 2?\nAnswer: 10000101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 + 6)\/(3\/(-1950)*2)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114 - -113.957. Let j = u + 0.343. Which is the closest to 1\/2? (a) j (b) 4 (c) 3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*s = -83*s + 44*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12417594.\nAnswer: 2, 3, 7, 173, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6)*3)\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 261*s - 2873. Determine d(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.092 less than -44443?\nAnswer: -44443.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*v**3 + 1)*(4 + 3 - 5)*(5 - 6 + 3 + (-1 - 1 + 3)*(-2 + 5 - 1) - 3 - 1 + 6 + 3 + 2 - 4).\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1698.844ug?\nAnswer: 0.000001698844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**6\/24 + p**5\/4 + 5*p**4\/24 - 5*p**3\/2 + 6*p**2 - 33. Let j(f) be the second derivative of l(f). Factor j(x).\nAnswer: -5*(x - 3)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 13*n**2 + 13*n - 37. Determine i(11).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.43 in -0.1, -4, -0.28?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 1 = 3, -2*f - 8 = -3*z. Suppose y - z*s = 2*y - 6, 0 = -s - 2. Suppose 458 = -8*p + y*p. What are the prime factors of p?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 78 = 48. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -371 and -5.\nAnswer: 1855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6157068 rounded to 3 dps?\nAnswer: 1.616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/769 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2 - 8*j - 12*j - 13*j**2 - 7 + 12*j**2. Let x be p(-15). Let d(i) = 7*i**2 + 4*i + 3. Let q be d(-1). What is the greatest common factor of q and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46947 to the power of 1\/2, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -96\/7 + 44\/7*r - 4\/7*r**2 = 0. What is r?\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m - 12 = -17*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 184602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15608 (base 11) to base 15\nAnswer: 67da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/6 - (-4)\/6 - -10723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 3*g**2 + 5*g - 4*g - 3*g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*p - 10. Suppose -3*i + 2*c = 2*i - 172, -p = -3*c. What is the highest common divisor of i and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 296*s**2 - 595*s**2 + 302*s**2. Let v(r) = -11*r**2. Determine v(t(d)).\nAnswer: -99*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1857797.\nAnswer: 1857797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -22. Let w = -5 - b. Find the second derivative of 3*a - a**w + 0*a - a - 2*a**4 wrt a.\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3451 and 8138444.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 303*d - 4*d**2 - 304*d - 1 - 2. Let s(t) = 184*t - 89*t + 7*t**2 - 93*t + 5. Let m(q) = 5*h(q) + 3*s(q). Factor m(i).\nAnswer: i*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -62 - -2907?\nAnswer: 2895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 561 and 113696.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -27 (b) -5\/3 (c) -0.1 (d) 3\/11 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -z + 9. Let s be -3 + 80\/13 + z. Which is bigger: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -16. Let t = -71.5 + 72. Let d = -0.2 + 0.2. Which is the closest to j? (a) d (b) -1\/6 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14789\/7665 - 177\/73. Let u = 466 + -9788\/21. Let t = u - j. Which is the closest to -1? (a) 3\/8 (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**4\/6 - 2*d**3\/3 - 7*d**2\/2 - 11*d - 7. Let r(v) = v. Calculate o(w) + 4*r(w).\nAnswer: -2*w**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6794476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.327340458 and 374.\nAnswer: 373.672659542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 196 + 108. Is a a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 20. Suppose -u = -2*h - m, -3*h + 0*m + 4*m + 4 = 0. What is the second derivative of -2*t + t**h + 0 + 0 wrt t?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 3*s**2 - 4*s - 2. Let u be t(2). Is (19348\/(-12) - 5)\/(4\/u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**4\/2 + 1107*o**3 + 63921*o**2\/2 + 161712*o + 227502 = 0. Calculate o.\nAnswer: -22, -3, 766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 4*j - 15*j)*(0*j**3 - 3*j**3 + j**3) + 6*j**4 - 2*j**2 + 3*j**2 - 4*j**4.\nAnswer: 36*j**4 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261 - 59376*r**3 + 131 + 129.\nAnswer: -59376*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -49*m + 2 + 140*m - 46*m - 47*m. Determine z(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 3\/11 (c) -261 (d) -2 (e) 0.06 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirteen quarters of a microsecond?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32306909 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.3811992\nAnswer: 0.03811992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 141\/4, 3, -2\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -21\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 16 - 7 - 5*j to the form y*j + c and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1340 - -5374. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 7*n**5\/5 + 5*n**2\/2 + 1. What is the second derivative of u(p) wrt p?\nAnswer: 84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from {c: 3, v: 5, t: 2, g: 1, k: 1, u: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a second in milliseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.1, 0.2, -3\/5, 16?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29.48 + -24.48. Which is the fourth biggest value? (a) 1 (b) 0.3 (c) g (d) 0 (e) 39\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(1 - 1 - b**2) + (-10*b + 8*b - 10*b)*(45*b - 115*b + 2*b).\nAnswer: 818*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p = 8. Solve -2*d - 2*d = 16, p*d = t - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (1 - -2) - ((-2926)\/190 + 8)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17*((-70)\/30 + (-1547)\/(-357))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -78\/19? (a) -24\/7 (b) -2\/15 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*s + 14. Solve 0 - s = 2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-97 - -92) + (0\/2 - -3). What is the smallest common multiple of (-53 + 38)*g\/5 - 3 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(225)*-2*-6)\/(((2*sqrt(45))\/sqrt(9) - sqrt(45)*1)*-3).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/11151 and 61\/1416177.\nAnswer: 1416177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -116, -179, -282, -425?\n\"Answer: -20*j**2 - 3*j - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 392.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + a + 21. Suppose 3*b + 3*g - 48 = -21, -5*b = 3*g - 45. Calculate h(b).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 16*d**2 - d + 17. Let s be w(16). Which is greater: 1\/2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/7 (b) -9.5 (c) -4 (d) 0.1 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58388 divided by -14597.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4 - 1) + -33)\/(-4)*28\/(-36)?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142404 less than -16?\nAnswer: -142420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*h**4 - 225*h**3 + 44*h**2 + 45777*h - 73.\nAnswer: -180*h**2 - 1350*h + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from {o: 1, y: 2, a: 1, i: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (64\/72)\/(-2)*351\/234. Let c be (-6)\/(0 - -1) + 1. What is the second smallest value in 0, -3\/10, c, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -595 - -600. Let l(i) = i**2 + 11*i + 11. Let c be l(-10). What is the closest to 1 in c, 12, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.346 and 0.5.\nAnswer: -1.673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68 - -121. What is the remainder when -33*(-42)\/9 + 12\/12 is divided by a?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7669b - -7?\nAnswer: 766a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 491 - 414. Suppose n*v - 70*v = 28. Solve -4*w = -v*s + 4, 4 = -2*s + 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3803 is divided by 774.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1842751\/375 - -4914. Let h = x + -11623\/750. Let m = 149\/10 + h. What is the third smallest value in 0.3, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 2:22 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 43118523859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/5)\/f**(-2\/5))\/((f*f**(-1\/2)*f)\/f*f*(f\/(f*f**(6\/11)*f))\/f*f) assuming f is positive.\nAnswer: f**(93\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 + 17*z - 680. What is o(17)?\nAnswer: 765","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 29*h + 140 = 0. Calculate the lowest common multiple of 128 and h.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 10. Let h be k(13). Suppose -h*y - i = 2*y - 11, -y = -i - 1. Suppose 2\/3*o**y - 8\/3 - 2*o = 0. Calculate o.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + sqrt(187)*-1 - sqrt(187))*6)\/(sqrt(55)\/sqrt(5)*-6).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.3 in 4\/5, -4\/7, 0?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 6391425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4641, -9246, -13851?\nAnswer: -18456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.3 - 51.3. Let w = -46 - x. Put 3, 13, 0.1, w in descending order.\nAnswer: 13, 3, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 14. Let d = 2.8 + -0.8. Which is the closest to -0.1? (a) d (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + -6 + 9 + -4 + -2. Solve b*k + 6*k - 32 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0 (c) -13 (d) 19 (e) 3\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 527 divide 275372783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4204891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13133 + -5333. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 8*r**4\/3 + r**3\/6 + r**2\/2 + 3*r. Let l be h(-1). Let z = l + -13. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2261723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - k + 17 - k + 18 - 77 + 23.\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8482 is divided by 354?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - 0. Let h be ((-10)\/25)\/((-1)\/o). Calculate the smallest common multiple of 4 and 6\/24 + (-39)\/h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 919*o**4 - 4*o**2 + 666?\nAnswer: 22056*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngvkwgi. Give prob of sequence ng.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 120\/4*2\/3. Suppose 3*d + 15 = 0, 0*x - x + o = -3*d. Calculate the smallest common multiple of 1 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((126\/81)\/2)\/(546\/234)*(-18)\/26?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 6*i - 25. Let f be t(-3). Let p be (50\/275 - f\/(-11)) + 9. What is the highest common divisor of p and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*u + 247*u + 1734 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5170 + 3917 = -7*p. Is p greater than 176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 12*k - 1, 3*o - 4*k - 28 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 41. Let u(p) = 2*p - 8. Determine u(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2397 - -2519. Is 35 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/39*156312\/(-4509)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4186 divided by -2093.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 20. Let x(r) = 2*r + 7. Let b be x(-6). Let y = b + p. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9 - 6)*-41*(-68)\/3. What is the units digit of c\/34 + (-5 - (-2 + 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t + 5 - 5 + (-5 + 3 - 8)*(0*t + 3*t - 5*t) + (5 - 1 - 5)*(2*t - 1 + 1) as a + j*t and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/7 + 1784*j\/7 + 3560\/7.\nAnswer: 2*(j + 2)*(j + 890)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183433 is divided by 61129?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 20 - 21 = 0. Let i(v) = 5*v**3 - 6*v + 4. Let o(t) = -2*t**3 - 1 + t + t**3 + 0*t. Give r*i(k) + 4*o(k).\nAnswer: k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 7*j**4\/24 - 12*j**2 + 17*j. Let p(m) be the first derivative of v(m). Let x(a) = a**2. Give x(p(q)).\nAnswer: 49*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 181346531?\nAnswer: 4\/181346531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000142231 rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(3 + 112\/(-36)). Does 13 divide 6\/c + (-47)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiwiqqiwqqw. What is prob of picking 3 q and 1 i?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2767 is divided by ((-6)\/(-3) - -18) + 310\/310.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24085\/16 or -1505?\nAnswer: -1505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2373542 micrograms to kilograms.\nAnswer: 0.0000000002373542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) -0.7 (b) 22 (c) -1 (d) -2 (e) -0.2 (f) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 1 + 58\/7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*p + 1\/7*p**3 + 4\/7*p**2 + 0.\nAnswer: p*(p + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**5\/40 - 57*w**4\/16 - 153*w**3\/2 - 104*w**2 - w + 1. Determine c so that l(c) = 0.\nAnswer: -51, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -555284570 rounded to the nearest 100000?\nAnswer: -555300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p**2 + 8*p + 8. Let z be h(-4). Calculate the highest common factor of 56 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 882861*w**3 - 4 - 1 + 5.\nAnswer: 882861*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u + 12*u**2 - 8*u**2 + 3*u to the form j*u**2 + i*u + n and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/40 and (-9)\/(-15) + (-8 - (-9032)\/880).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*o + 16 + 17 = 0, 4*o - 19 = -h. What is the lowest common multiple of 16 and h?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3 = -1. Let m be (-1 + 0)*(-2 + -2). Let c be 4 - ((2 - m) + 1). Solve c*r = 6*a - 2*a - 12, -8 = s*r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*g**5 + 2*g**4 - 15342*g**3 + 115928*g**2 - g + 1?\nAnswer: -600*g**2 + 48*g - 92052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000065611697 to 6 dps.\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-10) - (-171)\/(-5). Let v be 12\/5 + (-21)\/p. Suppose -8*w + v*w = -280. 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: Let r = 22.9 - 24. Let p = -1.9 + r. What is the second smallest value in 4, p, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t + 52 + 32 = -5*d + 15, 5*t + 3*d = -11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6172.409 + 0.073\nAnswer: -6172.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 601158528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 44*29\/116 + 24\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283553 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36990 - 36872 - 2*n**2 + 73886.\nAnswer: -2*n**2 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 18974*d + 2976 = 19070*d for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/2*-17*(-366)\/(-255).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -153370 + 1?\nAnswer: -15336a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 959880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562375.\nAnswer: 5, 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 - 0.6. Let j = i + -2. Let q = 7.58 - 2.58. Which is the closest to j? (a) -0.4 (b) -0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 780 divided by -5.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/11386541 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 8 = -0*u - 3*u, -u - 16 = -3*r. Suppose -4*k + r = -2*k. Solve 0*a - k = 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 7*b**2 + 10*b + 2. Let r be a(4). Let j be ((-18)\/r - 6)*(-2)\/8. Sort 0.24, 0, j, 5 in decreasing order.\nAnswer: 5, j, 0.24, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -43*b + 19 + 5*b**2 + 10 - 5. List the prime factors of k(11).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23.25 smaller than 27.93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7308674 to two decimal places.\nAnswer: 0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millennium in years?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -446695.\nAnswer: -446697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 3*g**2 + g + 1. Let n(y) = 18*y**3 - 2*y**2 - y - 5. Let t(c) = -n(c) - 2*v(c). Let a be t(-1). Solve 6*d = a*d - 28 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371*a**3 + 192*a**3 + 185*a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 20*m**2 - 21*m + 1. Let j be v(-21). Sort -5, -3\/7, j.\nAnswer: -5, -3\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/18*-15*12\/(-225)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -49 + 8 + (-21 - -9)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2\/19, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -15*k. Let d(v) = 5662*v - 11329*v + 5660*v. What is 9*d(c) - 5*i(c)?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -4*b - 0*k - k, 0 = 4*k + 8. Let g(j) = j**2 + 10*j + 12. What are the prime factors of g(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 6*a - 228. Calculate p(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppuppuppppupp. Give prob of picking 2 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5592369 divided by -3?\nAnswer: 1864123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -145898.\nAnswer: -72949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 278571, 557140, 835709?\nAnswer: 1114278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**5\/50 - d**4\/15 - d**3\/15 + 2*d**2\/5 + 2*d - 2. Let v(u) be the first derivative of r(u). Let v(z) = 0. Calculate z.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 0*p + 96*p**2 + 2*p**3 - 1\/10*p**6 + 2 + 17\/20*p**5 - 5\/2*p**4. Suppose o(d) = 0. Calculate d.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 81 = -5*o, 4*o - 27 = -5*m + 6*m. Let c = m + 38. Let n = 18 - c. Solve -4*f = -n*f - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 824, 825, 826, 827?\nAnswer: 828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2 - 2 + x. Let f(o) = -21*o + 108. Let m(k) = 6*k - 30. Let s(h) = -5*f(h) - 18*m(h). What is 10*p(u) + 4*s(u)?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(5 + (63\/(-28))\/(-3)*-2)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**2\/2 + 12987*o\/2 - 19494 = 0.\nAnswer: -4332, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8 + 1.2. What is the second biggest value in -2\/3, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 2*g + 3. Let n be w(2). Suppose -53 = -5*o - 4*l + 6, 3*o = n*l + 57. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24.1 + -23.97008. Let q = p + -0.13. Round q to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 95*a - 1568 - 2988 = -74 for a.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 9*x**2 - 6*x - 15. Let q be n(8). Differentiate v + v**2 - q - v - 2 wrt v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1471, -1474, -1477, -1480?\nAnswer: -1483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 31825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 5. Let m be (-222)\/(-7) + (-4)\/(-14). Let v be (4\/(-8))\/(2\/m). Let l(o) = -2*o**3 + 8. Determine v*u(p) + 5*l(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52105111114 - 4?\nAnswer: -52105111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 4*r - 3. Suppose -2 + 20 = -3*v. What is the least common multiple of 2 and u(v)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(2\/(-330))*4. Suppose -2*y = -3*y + 12. Suppose -k + 132 = -y*c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 8:55 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 9, 12, -11?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 - 1\/(-2)*-2. Let w(q) = q. Let a be w(1). Let z = i + a. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14.7 and 1.16?\nAnswer: 15.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8 and 5176.7078258.\nAnswer: 5184.7078258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from pbkbbpkbbppb.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -1155*a**3 - 4*a**2 - 10*a - 5. Is k(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**9)**42 assuming z is positive.\nAnswer: z**378","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15052895*k**2*u**2 + 180398*k**2*u - 2*k*u + 2*u - 7 wrt u.\nAnswer: -30105790*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -66*b**2. Let a(n) be the second derivative of -4*n**3\/3 - 7*n**2\/2 - 4952*n. What is d(a(z))?\nAnswer: -4224*z**2 - 7392*z - 3234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 226*r - 438*r + 16 + 219*r + 0 + 0 + 2*r + (2 - 4 + 3)*(-4*r + 2*r + 4*r) + 0*r - 2*r + 3*r - 4*r + r + 2*r in the form x + b*r and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 11. Let s be 12 - (-9)\/3*f. Let j = s + -12. Solve j*h + 8 = -2*v, 5*h + 5*v + 16 = v for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/8 - 84536*i - 14292670592 = 0 for i.\nAnswer: -338144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 129.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2887 + 3?\nAnswer: -2884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (11\/((-33)\/(-3690)))\/(-2 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.154 + -156?\nAnswer: -156.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and (-2)\/(-6 - -8 - 243\/120).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -31. Let g = 8.3 - 8. Sort g, t, 3 in descending order.\nAnswer: 3, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqqvqqrvriaivevreee. Give prob of sequence ei.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-984)\/(-27))\/(-2) - 22\/(-99). Let t = -1014 - -995. Which is smaller: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-14) - (-6636)\/147)*38612\/70. What is the greatest common factor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 - -92. What is the remainder when 107 is divided by o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83 - -90. Suppose 5*k - 2 = 8. Let t be (2 - k)\/(4 + -5). Sort g, t, -3 in increasing order.\nAnswer: -3, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42\/9455953 or 1?\nAnswer: 42\/9455953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**3 - 2*b**2 + 2*b + 3. Let l be w(-2). Let i = l - 12. Let k = 22 - -6. Solve 4*f = -4*t, -3*f + i*t + t = -k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m + 30*m + 145 = 0. Let t = -27 - m. Solve 0 = 4*b - t*b + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04039 to three decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29189282 and 204324974.\nAnswer: 204324974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -92, -91, -90, -89, -88?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*q - 80*q + 241. Calculate the lowest common multiple of 4 and q.\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -78*g + 864. Calculate w(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 99*a + 105. Let s be r(-1). Let j(u) = -5*u + 4. Let t(y) = -4*y + 3. What is s*t(i) - 5*j(i)?\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/1123121 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 121358 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*c - 26, 2*l - 22 = 5*c - c. Let m(u) be the third derivative of -u**4\/8 + u**3\/2 + 92*u**2 + 4*u. Determine m(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 548*g + 76*g**2 + 9*g**2 - 548*g as w*g + u*g**2 + v and give u.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49524 divided by 12.\nAnswer: 4127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 6:36 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = 0, 67*u - 70*u - 2*t + 16 = 0. Factor 2*g**3 + 0 + 6\/5*g - 2\/5*g**u - 14\/5*g**2.\nAnswer: -2*g*(g - 3)*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 595.3518km to micrometers.\nAnswer: 595351800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9537 * -5.\nAnswer: -4.7685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-5)*j*j**6*j\/((j*j*j**(1\/6)\/j)\/j)*j*j*j\/((j*j*j**5)\/j*j)*j*j assuming j is positive.\nAnswer: j**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 672 and 51072.\nAnswer: 51072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 6*f - f + 5)*(2 + 8 + 3)*(1 + 0 + 0)*(-2 + 2 - 1) to r + k*f and give r.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - (10 + -9 - 3)) + 2 + 24 + -15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.99016 rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150200 (base 6) to base 15.\nAnswer: 43a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 24768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4592941429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -33\/7, 0, -107, 1064, 0.1?\nAnswer: 1064","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 54*o**2 + 1. Let x(a) = 4*a - 42. Let s(q) = 3. Let i(f) = -14*s(f) - x(f). What is n(i(t))?\nAnswer: 864*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/108571 and 32\/11.\nAnswer: 1194281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**3 + 3. Let m(w) = -4*w**3 + w**2 - w + 2. Let n(p) = 3*d(p) - 4*m(p). Let b be n(4). Suppose -b = -8*q + 15. Solve 0*r - q = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -6, 2, 7 in ascending order.\nAnswer: -6, 2, 7, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 572 divide 253053215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(((-112)\/(-35))\/(-8)*(-15)\/3). Solve -60*a + 45*a - 30 = f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 9*p - 11. Suppose 2*o - 5*y = 79, -22 = 5*y + 3. Suppose 22 + o = 7*s. Let z be a(s). Solve -c + 1 = 4*i - 16, -z*c + i = -12 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -158 + 163. Solve a + 5 = -j + 3*a, j - r*a = -11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125)*1)**2 + -4)*-6.\nAnswer: -726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/4 - 1421*a**2\/4 + a\/4 + 1421\/4.\nAnswer: -(a - 1)*(a + 1)*(a + 1421)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnunnunn. Give prob of sequence uun.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*b**2 - 79*b**2 - 99*b - 6*b**2 - 9.\nAnswer: -59*b**2 - 99*b - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*d = 30, -d + 37 = 3*q - 2. Suppose q = -4*k + 4. Suppose -c + 3*u = 2*c - 3, 5*c - 5 = 2*u. What is the nearest to c in 1\/6, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(80) + sqrt(5))**2 + 4.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*q = -3*y + 7, 2*y + 3*q = 0. Let f be (1*(y - 4))\/(-5). Which is the third biggest value? (a) 3 (b) -3 (c) f (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxqs when four letters picked without replacement from xxqxsssx.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13099, 51957, 116859, 207919, 325251?\nAnswer: 468969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4122580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2980181, 5960375, 8940583, 11920811, 14901065, 17881351, 20861675, 23842043?\n\"Answer: o**3 + o**2 + 2980184*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r - 29. Calculate a(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1603677 is divided by 413?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.303 + 0.697. What is the closest to w in -2\/9, -2\/13, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 4*y + 1. Let i be a(-3). Let n = -2 - i. Suppose n = h + 2, -h = -k + 2*h + 127. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1528\/95 smaller than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - (1*((sqrt(300) - sqrt(300)*-3) + sqrt(300)) + sqrt(300)))\/(sqrt(32)\/(sqrt(968) - 2*sqrt(968)))*1.\nAnswer: 275*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2623 bigger than -2440\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 2. Let r be z(-4). Suppose r*p = p + 4. Let v(u) = p*u - 3*u + 2*u. Let t(l) = -3*l. Calculate t(v(k)).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(288)\/(-5*sqrt(12)*3))\/((sqrt(132)*1*2)\/(sqrt(176)*4)).\nAnswer: -8*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 8*a - 1. Let w(t) = -t + 1. What is -2*l(c) - 14*w(c)?\nAnswer: -2*c - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - m**2 + 2*m + 2. Let v(a) = -266*a**3 - a**2 + 2*a + 109. Let o(r) = u(r) - v(r). Differentiate o(b) wrt b.\nAnswer: 795*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w + 34. Let x(d) = d**2 + 9*d + 34. Determine 3*a(o) - 2*x(o).\nAnswer: -2*o**2 + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48 or -2683\/56?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10625, 10594, 10563, 10532, 10501?\nAnswer: 10470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -0*f + 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**5\/30 + q**3\/6 - 11*q**2. Let p be u(1). Let b = 11 + p. Solve -2*f - 5*x = 24, b*f + 14 = 5*f - x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7\/(49\/(-7)))\/(-1))\/(67\/(-335))*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -1\/4 (c) -0.3 (d) 5528\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -244 + -15631400?\nAnswer: -15631644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + sqrt(28)))**2 - (sqrt(1008) + -2 + (5 + sqrt(21)\/sqrt(3))**2).\nAnswer: 10*sqrt(7) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*3\/12)\/((-1480)\/80).\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 460*s - 10580.\nAnswer: -5*(s + 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 2a588388?\nAnswer: -2a588391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1\/7))\/h*h**(-2\/5))**23 assuming h is positive.\nAnswer: h**(-207\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1155)\/(-462))\/((2\/(-16))\/(5 + -7))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from oogglfllcglcog.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 53*i + 28. Determine d(-6).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -606.2 - -606. Let w = 53\/39 + -9\/13. Put 27, -1\/2, w, u in descending order.\nAnswer: 27, w, u, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*s = 0. Suppose s = 5*a - 3*a - 70. What is the remainder when a is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine halves of a decade?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 3)*(75*n + 17*n + 50*n) - 4*n - 2*n + 4*n in the form q + g*n and give g.\nAnswer: 708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, r: 1, q: 2, e: 6, w: 1}. What is prob of picking 1 s and 1 e?\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 + 561\/8. Let u = 51\/130 - 5\/26. Sort u, -3, n in increasing order.\nAnswer: -3, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 17*r - 6*r**2 + 0 + 0*r**3 + 17\/12*r**4. Find the first derivative of b(n) wrt n.\nAnswer: 34*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 3*u**2 - 4*u + 14. Let d be m(3). Let l be (d - (30 - 6)\/(-6)) + 0. Let z(c) = c**2 + 2*c + 7. What is z(l)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2225208 rounded to the nearest 1000?\nAnswer: 2225000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -18.7*0.01\nAnswer: -0.187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 316 - 272. Calculate the highest common factor of y and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 11:20 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -4915587 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 8:37 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*m - 47, -4*r - 3*m + 6*m = -93. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + t - 3 + (3*t + 0*t + 9*t)*(-2 + 4 + 0) as a*t + g and give a.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-12 - (-5 - 3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 2. Let l(p) = p**2 - 4*p + 6. Let m be l(4). Let x be f(m). Let u = 11 + x. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 1416.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 6, -4*v = -8*y + 5*y - 28359818. Let s = v - 2113887. Suppose 0 = 9*w - s - 1791931. Round w to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + c**2 + 2*c**2)*(-3*c**3 + 0*c**3 + 2*c**3) + 2*c**5 + 2*c**5 - 3*c**5 + (7*c**3 - 22*c**3 - 8*c**3)*(0*c**2 - 3*c**2 + 4*c**2).\nAnswer: -24*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.358554 - 15.36. What is h rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2736)*1 + -3)**2.\nAnswer: -72*sqrt(19) + 2745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*f - 2 - 8, -2*f + 2*k = -6. Suppose -3*n + 8 = -2*o, 3*n - n - 16 = -4*o. Let q be -1 + ((-104)\/(-30))\/n. Is q at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 5*p - 2*t, -2*t - 8 + 0 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 25, -5*r - 1 = i - 6. Solve 2 - 4*h**2 + 3*h**2 + h**2 + h - h**r = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.18 and 6.54759?\nAnswer: -7.7261562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 11. Let a(t) = 158*t - 31. Calculate -a(b) - 5*r(b).\nAnswer: -153*b - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -18*b**2 - 1656*b - 101. Is 7 a factor of k(-57)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 20*r**2 + 73*r - 1466. Give d(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-9 - -1) - (-22)\/4. Suppose -2*m - s*q - 145 = -4*m, 2*m + 4*q = 118. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 8*o + 10. Let w be t(7). Let q = -2 + w. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from yjyeyyxewxylwljwjel?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/7)\/((-39)\/26)*(50456\/16)\/17.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 43. Suppose 5*a - 38 = 2*n, -4*n = 5*a - 3*n - u. List the prime factors of a*2 - (3 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 9*g = -10*g + 2, -g = -l - 4. Let x(k) = k - 2. Let o be x(l). Which is the smallest value? (a) o (b) 1\/4 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 54 = -0*i. Is (-48)\/(-10) - i\/(-90) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/281 or -1304\/5?\nAnswer: 2\/281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53137 to the power of 1\/2, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 193364543639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 119 - 122 + 3*k + 21*k. Let y = 78 - 39. What is the remainder when y is divided by s(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 5, -3, -2, 3, -27 in increasing order.\nAnswer: -27, -3, -2, 3, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985.08 less than -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**7\/840 - g**4\/12 - 13*g**3\/6 - 25*g. Let r(k) be the third derivative of o(k). Let w(s) = 3*s. Calculate w(r(q)).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1512 = -4*o + 4204 + 1988. Calculate the least common multiple of 234 and o.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 121*y + 102. Let o(q) = -81*q - 68. Let m be 24\/(-108) + (-148)\/(-18). Let u(v) = m*o(v) + 5*l(v). Find the first derivative of u(w) wrt w.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 400 by 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 15*d - 16. Let a be l(-16). Solve 2*t + 5 - 1 = a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 185 and 210272110.\nAnswer: 210272110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*g - 18*g**2 + 53*g - 180*g - 27 + 54*g in the form t*g**2 + f*g + v and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -3\/5, -1\/11, 2, -4, 1\/6?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 581.39 + -585.39. Let q = -13.8 - -2.8. Which is the third biggest value? (a) j (b) q (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -61, -1083, -3933, -9523, -18765, -32571, -51853?\n\"Answer: -152*u**3 - 2*u**2 + 48*u + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 n, and 1 e when three letters picked without replacement from ccnennl?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 131 - -179. Let z = 2487\/8 - t. Calculate the common denominator of z and 1\/176*-274 - 2\/(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 2. Determine k(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 67 = 81. Suppose 0 = -g*d - 34 + 20. Sort -5, -4, -2, d.\nAnswer: -5, -4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6465690?\nAnswer: 2, 3, 5, 7, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 o when three letters picked without replacement from {b: 2, a: 6, o: 5}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + 0 + -1 + (-1*sqrt(120))\/sqrt(10).\nAnswer: -1 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2788239, 2788243, 2788249, 2788257, 2788267, 2788279?\nAnswer: 2788293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153275.\nAnswer: 5, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 + 0.2. Let h = 16.07 + -16. Let y = -0.93 - h. Which is the closest to -0.1? (a) p (b) y (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72805409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112 by -1.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 246 and 656?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.29 + -0.11. Let c = -0.4 + a. Let g = -0.7999976 - c. Round g to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -210 + -1?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 40 + 96 - 137*n**4 + n**3 - 42 to k + c*n + f*n**2 + m*n**3 + t*n**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -10. Suppose r*z = 2*z + 6. Solve z*s + 9 = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-3 - 2)\/(-35)). Let f(d) = -5*d + 0 + 2 - 4*d - b*d**2 - d**3 + 4*d. Let u = -10 + 4. Determine f(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -288 divided by 193997\nAnswer: -288\/193997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**3 + s**2 + 11*s - 6. Let b be j(-6). What is b rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37\/4? (a) 0.4 (b) 0.2 (c) -4 (d) 0.079\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/1862 and -111\/532?\nAnswer: 3724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, r: 5, l: 4, h: 3}. What is prob of picking 1 l, 2 h, and 1 k?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 8, -15, -52, -109, -192, -307, -460?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2885 + 3090. Calculate the remainder when 733 is divided by z.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129345067 is divided by 1757?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4602 + 3112. Round k to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2. Let q(y) = -3*y**2 + 12*y + 9. Let v(d) = 6*d**2 - 21*d - 18. Let a(m) = -7*q(m) - 4*v(m). Give s(a(g)).\nAnswer: 9*g**4 - 54*g**2 + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 88*v**4 - 7*v**3 + 14*v**2 + 7*v - 365. Let l(y) = 29*y**4 - 2*y**3 + 4*y**2 + 2*y - 122. Let j(h) = -7*l(h) + 2*w(h). Differentiate j(f) wrt f.\nAnswer: -108*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -21*a**2 + 6*a + 44. Determine w(-6).\nAnswer: -748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -163, -235, -303, -367?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 17*r. Let c(d) = 225222*d. Calculate c(s(u)).\nAnswer: 3828774*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**5 + 0*v**5 + 2*v**5)*(2 - 3 + 3) + (-3*v**4 + 3*v**4 - v**4)*(-11 + 11 - 6*v) - 2*v**5 + 3*v**2 - 3*v**2.\nAnswer: 6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 304 = 288 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42966 by 6.\nAnswer: -7161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 2*x + 4617 - 4509 = 0, 72 = 4*c - 3*x - x for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 526884 + 7385?\nAnswer: 535380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1223890, -2447774, -3671654, -4895530, -6119402?\n\"Answer: 2*w**2 - 1223890*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-19 + -4 + 16 - -13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 3*k**2 + 2*k - 4. Does 2 divide q(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 32186264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 - 69.9. Let u = 107 - 106.5. Which is the smallest value? (a) u (b) 2 (c) s (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7234103 years in decades?\nAnswer: 0.07234103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5509 and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 174*q - 5200 = 156*q for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n - 5. Let b be l(-5). Solve -8 - 12 = -b*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -0.12, -6\/23, -1.\nAnswer: -1, -6\/23, -0.12, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**(2\/61))\/n)\/(n**(15\/8)*n))**(1\/24))**(1\/8) assuming n is positive.\nAnswer: n**(-473\/31232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1827\/4 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 83086, 83107, 83152, 83233, 83362, 83551?\n\"Answer: 2*t**3 + 7*t + 83077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3 + 6*y**2 + 2*y - 6 = 0. What is y?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.12, 0.3, 1.1 in ascending order.\nAnswer: -0.12, 0.3, 1.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**5\/20 + h**4\/2 - h**3\/6 - 2*h**2 - 6*h. Let a be v(-6). Let i(j) = j**3 - j**2 - 2*j - 1. Give i(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5447 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: Which is the smallest value? (a) -102 (b) -0.7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1896349, -0.1, 0, 4, -0.3, -2 in decreasing order.\nAnswer: 1896349, 4, 0, -0.1, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8640.0005967 - -8640. Round g to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-42)\/420*-1*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -165, -33, 187, 495?\n\"Answer: 44*h**2 - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0*2216\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5129863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 2239*p**4\/12 - 1069*p**3\/3 - 2*p - 51. Find the second derivative of v(k) wrt k.\nAnswer: 4478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 5*u**8\/336 - u**7\/14 - 3*u**6\/8 + 9*u**5\/4 - 20*u**2 + 1. Suppose l(g) = 0. What is g?\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35913961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 40*j**2 + 114*j - 69. Give z(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 12:47 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -67850625844228 - 8\nAnswer: -67850625844236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 23*j - 114, -2*k + 2*j + 248 + 248 = 482 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 908 divided by 4\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bozjoozxooz. What is prob of picking 1 j, 1 z, and 1 o?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(72\/9))\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -80*(41772\/295)\/118?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241*m - 5934*m**3 + 241*m.\nAnswer: -5934*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 694 + -673. Calculate the remainder when 564 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 + 48*v**2 - 5*v + 116. What is r(-24)?\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 - 50*b - 4*b**3 - 8*b.\nAnswer: -2*b**3 - 58*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4f14 - 1?\nAnswer: 4f13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2. Let r(x) be the third derivative of x**6\/360 + x**4\/12 - 6*x**2. Let k(q) be the second derivative of r(q). Give o(k(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001507 to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 448 + -452.87. Let z = p + -0.13. What is the nearest to 0.2 in 4, -0.2, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 955\/(-70)*(-86)\/(-1505) + (-4)\/(-5)\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 4*s**2 + 10. Give o(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -75*t - 1. What is the remainder when o(-1) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n - 72. Let p be j(25). Let c(l) be the third derivative of 1\/150*l**5 + 0*l + 1\/60*l**4 + 2*l**2 + 0 - 1\/150*l**6 + 0*l**p. Factor c(a).\nAnswer: -2*a*(a - 1)*(2*a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, k: 2, j: 2, p: 3, c: 3, a: 1}. Give prob of picking 1 j, 1 a, and 1 k.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 181\/5. Let i = 35 - 106\/3. Sort i, o, 2\/21 in descending order.\nAnswer: o, 2\/21, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -720, -2879, -6478, -11517, -17996, -25915?\n\"Answer: -720*c**2 + c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**2 - 11. Let d(m) = 3*m**2 - 6. What is 11*d(o) - 6*z(o)?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1290 - -1316. What is the second smallest value in -1\/6, 4, 5, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 76825.94 and -0.5.\nAnswer: 76825.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3091 divided by 340743.\nAnswer: 3091\/340743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -17*f - 1. Let y(b) = -6*b - 155. Let l(m) = 21*m + 558. Let v(t) = -5*l(t) - 18*y(t). Determine z(v(q)).\nAnswer: -51*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23976209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10091 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/372855757 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0*p*p)**(-4)*(p*p\/(p**(-2\/9)*p))\/p*p**0\/p*p assuming p is positive.\nAnswer: p**(-70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 11*t - 11. What is the remainder when 42 is divided by w(-13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**3 + w + 1. Let v be n(-1). Let l = 1702\/3 - 934. Let k = 366 + l. Which is the third smallest value? (a) -11 (b) v (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 24 (b) 2\/23 (c) 29 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 791\/18 - 175\/9. Let s be (-21 + -16)*(-1 + 0). Suppose s = 2*v - 3. Calculate the common denominator of b and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 + 1. Suppose 0*z + 2*z = 10. Let h be ((-4)\/z)\/(4\/(-10)). Which is smaller: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2702 is divided by 46?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 150238.1 weeks?\nAnswer: 1051666.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 7 = -p - l, 2*p = 5*l + 1. Suppose -b + 2*u = -1 - 7, -2*b + p*u = -13. Solve w - 1 = b*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4205*v + 223. What is the hundreds digit of p(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p - 5. Let i be o(-1). Let s = 0.006 - 2.006. What is the nearest to i in 0.3, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**21*c*c*c)\/c*c*c)**(1\/5) assuming c is positive.\nAnswer: c**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44190 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -1253*v - 1292. Calculate r(-1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y - 6*y - 2*y + 3*y - 6*y - 6*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 12*p + 21. Let g be h(6). Suppose 0 = -4*v + v + g. What are the prime factors of v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 70033888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1881517?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 128665, 257337, 386007, 514675, 643341, 772005, 900667?\n\"Answer: -x**2 + 128675*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*g + 183*g + 15 = 0. Suppose 4*q + 150 = 3*k, -33 = -g*k - 3*q + 138. Calculate the highest common divisor of 30 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**0)\/v)\/v*v**(-13))**(6\/13) assuming v is positive.\nAnswer: v**(-84\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 0, 104, -4, 0.11.\nAnswer: -4, 0, 0.11, 44, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*b**6 - 2706*b**3*h - 2810*b**2 - 3*b*h wrt b?\nAnswer: -600*b**3 - 16236*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 5*j + 4*j + 32, 0 = 2*r + 3*j - 19. Suppose 0 = -2*f - 5*n + r + 12, 2*f - 3*n - 31 = 0. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1919 divided by -69232.\nAnswer: 1919\/69232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 23. Let q = 15 - 10. Let t = z - q. Which is smaller: t or -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 33*a + 44. What is o(4)?\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 32 = -5*s, -4*s + 42 = -15*y + 20*y. Let b(u) be the first derivative of 37 + 31*u + 9\/2*u**y. What is the first derivative of b(p) wrt p?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2387, 1, 5, 3, 8, 0, -5 in increasing order.\nAnswer: -5, 0, 1, 3, 5, 8, 2387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 1, 4, -110357, -3, -10 in ascending order.\nAnswer: -110357, -10, -4, -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*y = -70*y + 55*y. Let z(r) be the second derivative of 0 + 0*r**2 + y*r**3 + 2\/115*r**5 - 30*r - 1\/46*r**4 - 1\/345*r**6. Find b, given that z(b) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 - -0.3. Let b = -0.7 + w. Put b, 4\/7, -1\/3 in ascending order.\nAnswer: -1\/3, b, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 1. Let l(i) = -1 + 5 - 2 - 5 + i. Let k be l(6). Let x(h) = 1. Determine k*x(g) - z(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 67 (base 14) to base 5\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2.47 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 21031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408*w = -407*w - 6. Solve 0 = -s - w + 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*f - 323246 = -322707 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2, -3, -14, -37, -78, -143?\n\"Answer: -w**3 + 3*w**2 - 7*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64461 and 2712.\nAnswer: 58272744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**4 + 118*i**2 + 72*i?\nAnswer: -12*i**2 + 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 5*u**2 + u + 4. Suppose 0 = -5*p + 4*s - 20, -p = -0*p + 2*s - 10. Suppose p = 9*t - 4*t + 30. Let x be 6\/12 + 33\/t. What is a(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 405 and 1025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -413*a - 9914. Calculate x(-24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -159*z**3 - 23*z - 29. What are the prime factors of t(-6)?\nAnswer: 131, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + 125. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -130 + 176. What is the highest common factor of l and 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -221*z + 737. Determine t(3).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -33*m - 16. Let z be t(-5). Suppose -3*k + 635 = -2*x, -3*x - 65 = -k + z. What are the prime factors of k?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -36, -0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 338005.\nAnswer: 1690025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 874895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(1\/(-3)*42\/28). Suppose h*w - 11 = 31. Find the third derivative of -w*j**5 - 4*j**2 - 4*j**2 - 7*j**5 wrt j.\nAnswer: -840*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 c when two letters picked without replacement from {f: 4, b: 4, a: 3, h: 4, c: 2, k: 3}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15563176*n**2 + 17358205*n wrt n.\nAnswer: -31126352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 39 - 255. Suppose 98 = -2*n - z, -4*n + 6*z - 196 = z. Let h = d + n. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 1)\/(0 - -1). Suppose r = 4*v + 1 - 9. Is v greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8\/9 (b) -4 (c) -2\/9 (d) -174\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 364.8 - 364.799964016. Round i to 6 decimal places.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 25 = a, 0 = 5*a - 0*w + 5*w - 50. Let d be (0 + -3 + 4)*a. Let j(c) = -c**3 + 3*c**2 + c. Let x be j(3). Solve 1 = -x*q - d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 + 1391445 - 1391445.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-45))\/((-182)\/(-117))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**4\/7 + 4763*j**3\/7 - 501622*j**2\/7 - 2063612*j\/7 - 2082648\/7 = 0.\nAnswer: -4866, -2, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -14*s + 948. Does 6 divide x(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*h - 5*a + 17, -3*a + 26 = -4*h. Let z be (28\/h)\/((-616)\/140). Is z at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*sqrt(88))\/sqrt(2) + sqrt(2816)*1)\/(sqrt(24)\/(1*sqrt(864))).\nAnswer: -420*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14946\/11 + -1357. Let h = u - 65\/44. What is the nearest to -15 in 0.1, 2\/23, h?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 + h**3 + h**3 + 20.\nAnswer: 2*h**3 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -m - 3, 4*c + 0*c = 3*m - 12. Suppose 0 = -m*f - 5*f + 15. Let j(z) = 23*z - 1. Let g be j(1). Solve 5*k + r = -r - g, 0 = -4*k + f*r - 13 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**4 - 23529*b**3 + b**2 + 53285 with respect to b.\nAnswer: 8*b**3 - 70587*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -1b?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 803 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 8 - 5)*(3*b**2 - 120*b**4 - 3*b**2 + 133*b**4) in the form n*b**2 + x + u*b**3 + j*b + w*b**4 and give w.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 722661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, -53, 2\/5, 6, -6\/7, -0.4?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 47*f**3 - 43*f**3 + 93*f**3 + (-2*f**2 + 2*f**2 - 2*f**2)*(-f + 3*f - f) + 3*f**3 - 2*f**3 - 2*f**3 + f**3 + 0*f**3 - 2*f**3.\nAnswer: -f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 + (52 - 95 - -71).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Let y be (-3)\/(-9) + x\/3. Let k = 15 + -11. Which is the smallest value? (a) k (b) y (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/10 + (-53050)\/(-125)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-40)\/60)\/((-6)\/33). Which is smaller: r or 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d - 4 - 88*d + 51*d + 33.\nAnswer: -48*d + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 584 + 38 = -4*r, -2*d = 4*r - 540. What is the remainder when 366 is divided by r?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 422*t**3 - t**2 - 12*t + 1. Let g be y(3). Let n = 19539 - g. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1508, 1359, 1212, 1067, 924, 783?\n\"Answer: l**2 - 152*l + 1659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*u**4 + 69*u**4 + 84*u**4)*(u + 7 - 7).\nAnswer: 214*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 74?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 1 + 58 + -42\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 26 = 2*n, -2*n - 2*n = 4*k - 60. What is the highest common divisor of n and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 4*l + 65 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/2)\/((-361)\/722)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 j when four letters picked without replacement from {i: 3, j: 5, a: 5, u: 2}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 108 + 41a8?\nAnswer: 42b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5211*b**3*v**3 - 6*b**2*v**3 + b*v**2 - 18*v**3 + 4*v wrt b?\nAnswer: 31266*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 times -2.865?\nAnswer: 246.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 424 by -1.\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3694384 centuries in months?\nAnswer: 443.32608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -15*g**2 + 5*g - 5. Let h = 179 + -173. Let k(v) = -16*v**2 + 6*v - 6. Give h*o(a) - 5*k(a).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3133786 to the power of 1\/2, to the nearest integer?\nAnswer: 1770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -47, 344, 1409, 3484, 6905, 12008, 19129, 28604?\n\"Answer: 56*x**3 + x**2 - 4*x - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(112) + sqrt(7)*2 + -1.\nAnswer: -6*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -721, -1434, -2137, -2830, -3513?\nAnswer: -4186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1) + 2 + 1 + (70 + 63 - 144)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 7 - 10310*l**3 - 15 + 10261*l**3 - 3 as i + a*l**3 + c*l + f*l**2 and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 9:04 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - 22 = 20 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.06 + -1.56. What is the second smallest value in 5, -1\/9, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/((o**(-6)*o)\/o))**(-1\/26)\/(o**19\/(((o\/(o**(2\/15)\/o))\/o)\/o)))**(9\/2) assuming o is positive.\nAnswer: o**(-11373\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 914515951 or 914515952?\nAnswer: 914515951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634065333.\nAnswer: 3, 11, 19214101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 720 and 11536992?\nAnswer: 57684960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(704)*1 - sqrt(704) - -2*sqrt(44)\/sqrt(4) - -4*(-1 + sqrt(44)))**2.\nAnswer: -240*sqrt(11) + 3348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1177090 is divided by 6689?\nAnswer: 6515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -84565, 1, 6 in ascending order.\nAnswer: -84565, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*l - 122*l = -2*v + 1024, -3*l + 498 = v. Calculate the remainder when v is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 - 14*u + 23. Let t be c(5). Solve -t*d = -19 + 7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3146793 and 1694427.\nAnswer: 22027551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - 3*(-2)\/6. Let z be 7\/5 + (-2)\/h. Solve -2*u = 2*b, 17 = -5*b + 4*u - z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.03754\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -34*k - 187. Determine v(-7).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) - sqrt(36)*-4)\/sqrt(12) + (sqrt(3) - (sqrt(60)\/sqrt(4) - sqrt(15))\/sqrt(5)) + sqrt(3).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from anxxkxakxakaxamnnn. What is prob of sequence xnkm?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1288*c + 7238*c - 298716 = -3686*c for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 119 + -79 + -74 - (-6 + 9 + 0 + 9).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -504*d + 2*d**3 - d**3 + 501*d to l + r*d**2 + u*d**3 + z*d and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 7*x**3\/6 - 6*x**2 + 2*x. Let i be r(12). What is the highest common factor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - r + 22 = -3*g + g, -3*g + 2305 - 2316 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3492211 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v + 6*v**2 + 3*v**2 + 3*v + 2*v**2. Let r be n(1). Find the second derivative of -18*u**2 + 10*u**2 + u + r*u**2 wrt u.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -20. Suppose 0 = 2*u + u - r. Let o(s) = s**2 - s - 4. Let l be o(u). Round l to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 856 and 1492?\nAnswer: 319288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*m - 12*m + a, -4*a = 3*m - 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1133 - -1132. Suppose -2 + 18 = -4*j. Put l, j, -5, -3 in decreasing order.\nAnswer: l, -3, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8414545?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdixdup. What is prob of sequence udx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 2 + (-1 - 1). Let p be (-9)\/((-36)\/148) - (n - 0). Suppose -5*m - a = -m - 146, -m + p = -2*a. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - f)*(-2*f - f + 2*f) + 27*f**2 + 16 - 17 - 7*f**2.\nAnswer: 21*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489006 is divided by 30551.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -101601303?\nAnswer: -101601312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23393 and 9685?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3500) + sqrt(3500)*-1)\/sqrt(5) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2016 and 5243706.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9663 - 0.2.\nAnswer: 9662.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/4800 and 3\/1972000.\nAnswer: 11832000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 15046?\nAnswer: -15046.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1008 = 283*d - 277*d. Let l = d - 164. Solve 3*r - 13 = -2*u, 0 = l*u - r - 4*r - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/(-140))\/(-5*(-9)\/(-24))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(27) + -1 - (-1*(sqrt(27) - (0 + sqrt(27))) - sqrt(27))) + (sqrt(108)\/sqrt(4))**2*-6 + -1 + -1.\nAnswer: -160 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 equal to 4694\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 0 + 0*y**4 + 0*y + 2*y**2 + 1\/120*y**6 + 31\/6*y**3 + 1\/60*y**5. Is s(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q - 32*q + 169 = -2 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-60)\/(-6))\/240)\/(2\/40).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -170\/11, 3.5, 2\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 8:08 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2064*w**3*x**2 - 2*w**3*x + 789*w**3 + w**2*x**2 wrt x?\nAnswer: 4128*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -482610 divided by 32174.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3616536 divided by -54796\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 636 = 22*g - 19*g. Let y = 471 + g. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107352107 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -4) + 5 + -1 + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 5*q + 22. Let a be (11 - 0)*(1 + -2). Is 8 a factor of d(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0.1. Let v = 154754 + -154731. What is the third smallest value in -2, v, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 3:13 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y - 8*y**2 - 5*y + 15*y + 5 - 1. Let c be l(-4). Let n be 4\/22 - c\/77. Solve 12 = -x + n*j - 1, 3*j = -3*x + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2889 + 2945. Solve l*k = 9*k - 188 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 130876408746.\nAnswer: 130876408745.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -922\/7 + 132. Let l = -0.1 - -3.1. Which is the biggest value? (a) h (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13\/5, 11, 0.7, 0?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 451 + -449. Let -3\/4*t**3 + 3\/4*t + 1\/2 - 1\/2*t**o = 0. What is t?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -0.4 (c) 76\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 11*w**5\/20 - 3*w**2. Let a(k) be the first derivative of -3*k**2 - 2891. Give a(t(d)).\nAnswer: -198*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14002299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -36, -54, -70, -84?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**5\/4 - 6*x**4 + 93*x**2\/2 - 291*x\/4 + 63\/2 = 0. What is x?\nAnswer: -3, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-16452)\/(-324) + ((-40)\/(-18) - 2) is divided by (-9)\/(-2)*(1 - -5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-71*b + 422*b + 403*b - 1802*b - 3065*b)*((4 - 2*b - 4)*(-4*b - 16 + 16) - b**2 + 5*b**2 - 2*b**2) to the form v*b + o*b**3 + l*b**2 + k and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 352899?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + -2 + (31 - 43) + 127?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5246 = -5*p - 2*d, -3*p - 4*d + 3144 = -d. Suppose 5*z = -3*v + 1048, -z - 5*v = 4*z - p. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 9983?\nAnswer: -9978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4700 = 299*m + 35*m + 552*m + 54*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -851*d**2 - 87*d - 73. What is t(-1)?\nAnswer: -837","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 50 + 58 = 0. Suppose 2*j = -x + 2 + 1, 0 = 4*j - 5*x - t. Suppose j = u, k + 105 = 3*k + u. What is the remainder when k is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 4*p**2 + 2*p - 4. Suppose 11 = 5*b - 9. Let h be m(b). Suppose -5*q + 0 = -2*s - 8, -16 = 2*q + 4*s. Solve -d + q*d + h = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15124 + 7561 + 7563 - 12197*b**2.\nAnswer: -12197*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7149979, 14299938, 21449897, 28599856, 35749815, 42899774?\n\"Answer: 7149959*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 0*h**3 - 3473 + 55*h + 3454 + h**3 + 26*h**2. What is the units digit of s(-23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 129, 257, 437, 669, 953?\nAnswer: 1289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -139*n**2*z**3 + 80*n**2*z**2 - 4*n*z**5 - 23*z**2 wrt z.\nAnswer: -834*n**2 - 240*n*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/21)\/(12\/(-21))*-46814 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 2*d - 3*d**3 + d**3 + 2*d**3 - d**3 - 3*d**3 + 3*d**3 + d**3 + (2*d**2 + 2*d**2 - 2*d**2)*(-3*d + 0*d + d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 34?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7167 is divided by 76.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5543 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 4:02 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 smaller than 926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from hyhyhhyyznhkznhz?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4033 a factor of 56416971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 8) in base 4?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 479 * 188.\nAnswer: 90052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -93*h**2 + 37665*h - 8. Determine g(405).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*y. Suppose -16 = -2*x - y*x. Suppose -5*p = -p - 160. What is the greatest common divisor of p and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**5\/4 + 68687*t**4\/4 - 1179579019*t**3\/4 + 3538324945*t**2\/4 - 884546894*t + 294843241 = 0 for t.\nAnswer: 1, 34342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(425) + (sqrt(425) - (sqrt(425) + 0)))**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - 56.1980419451.\nAnswer: -73.1980419451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 645.0953 millennia?\nAnswer: 7741143.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 7:58 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91202 is divided by 151?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*r + 4*x, -199*r + 2*x + 1253 + 349 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -211c?\nAnswer: -2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.09+-2133043.871\nAnswer: -2133043.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3033.993614 - 3034. Round y to 4 dps.\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**3 + 5350*g**2 + 103005*g + 490050 = 0.\nAnswer: -10, -9, 1089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/10 and 47\/10664.\nAnswer: 53320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10) + 16\/(-10) - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -266 and 6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2822 - -0.7178. Let o be 2\/(-7) - 52\/14. What is the smallest value in o, 4\/7, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.45 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/10*55 - 4)*192. What is the greatest common factor of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -322.237 times 6?\nAnswer: -1933.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 - 3*p**3 + 2*p**3)*(-52*p - 514 + 514).\nAnswer: -52*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 4*x**2 - 5*x. Let q be u(-5). Let l = 6 - q. Find the third derivative of 12*a**2 + a**2 - 8*a**2 + 2*a**l wrt a.\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -5*i**4\/8 - 5*i**3\/3 + 5*i**2\/4 + 5*i + 17. Solve w(d) = 0 for d.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 2:35 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 2. Let o be d(2). Let g(y) = y + o + 0*y - 3. What is g(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + -8 - (0 - -1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 19829.088 months?\nAnswer: 1.652424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/2)\/u**(1\/3))\/((u**0\/u)\/(u**3*u)))\/((u*(u**(-4)\/u)\/u)\/((u*u**1*u*u)\/u))**14 assuming u is positive.\nAnswer: u**(703\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -44. Let p = -112 - -74. Let v = p - b. Put v, -0.15, 0.1 in descending order.\nAnswer: 0.1, -0.15, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*n + 5. Suppose b = 24*b + 55*b + 390. Put -1, n, b, 2 in ascending order.\nAnswer: b, -1, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2705236?\nAnswer: 2, 29, 23321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 15 + 7 = 0. Let l = 46 - 36. Let r = -14 + 18. Solve 0*n - b*n = 5*g + l, g - 20 = r*n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 66447.95nm?\nAnswer: 0.00006644795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -429 + 903. Suppose 0*j = 6*j - q. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39 - -2055661?\nAnswer: 2055623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -14*r. Let a(j) = -42*j**2. Calculate a(w(g)).\nAnswer: -8232*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2110 - 1313?\nAnswer: -10023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**8\/672 + 29*p**7\/840 + 11*p**6\/48 + p**5\/12 - 7*p**4\/6 - 49*p**3\/24 - 38*p**2. Solve t(l) = 0.\nAnswer: -7, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 153264*m**2 - 618*m + 1854. Let x(d) = 1241*d**2 - 5*d + 15. What is -5*h(s) + 618*x(s)?\nAnswer: 618*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 10*y - 10. Let o be z(-13). What is the common denominator of (-2)\/6 - o\/2 and (2 - 1) + 33\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*(8 - 2). Suppose 2*y = 3*y - 1. Let m = y - v. Which is the nearest to 2? (a) m (b) 0.4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**4\/5 + 276*k**3\/5 - 52063*k**2\/5 + 1172118*k\/5 - 611064 = 0.\nAnswer: -410, 3, 23, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/570 and -149\/1068.\nAnswer: 101460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**1)\/m*m*m**2*m)\/(m**(1\/4))**(8\/5))**(-10\/9) assuming m is positive.\nAnswer: m**(-26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1697 less than -1776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + o + 7. Let l be h(0). Suppose 3*q = l*q - 36. What is the remainder when 1\/(-2) + 102\/4 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(17) - sqrt(153)) - (sqrt(1377) - (sqrt(1377) + -2)**2).\nAnswer: -51*sqrt(17) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4207\/8 (b) -4 (c) -5 (d) 2 (e) 2.9 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -60, -222, -18 in descending order.\nAnswer: -18, -51, -60, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 1632?\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1. Let i(f) = 3*f + 12. Let p be (0 - -2) + (2 - 3). Let q(r) = -r - 2. Let t(a) = p*i(a) + 4*q(a). What is -6*l(n) - t(n)?\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -3)*2*(-5)\/4. Suppose 0 = -5*z + u + 39, -3*z + 23 + s = -3*u. Let m = 0 + 2. Solve -m*k + 2*p + 2 = 0, k + 3*p + z = -0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/6))**(-15)*(s**(9\/4)*s*s)\/(s\/(s**(-2\/45)\/s)))**(1\/29) assuming s is positive.\nAnswer: s**(847\/5220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 0) + (0 - 3) - 6522. Let l = 352099\/54 + z. Find the common denominator of 91\/6 and l.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrprrrrrrrpprprrrr. Give prob of picking 3 p and 1 r.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*n**5 + 217552*n**4 - 422330524*n**3 - 966121784*n**2 - 664381648*n - 120807968 = 0. What is n?\nAnswer: -1, -2\/7, 3886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2317154952.\nAnswer: 2, 3, 7, 307, 44927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q**3 - 7*q + 7*q - 28*q**3 - 13*q**2.\nAnswer: -q**3 - 13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 7:20 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1842 + 3?\nAnswer: 1845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 267 + -1339\/5. Let z = 7 - 3. Sort z, 3, u in decreasing order.\nAnswer: z, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7882403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75636432 is divided by 94?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 10*n**2 + 4*n + 2. Let c be s(10). Is 46 a factor of (46\/2)\/(21\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 0 - 0 - (-5 + 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00079123 rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u + 18 = -28*u. List the prime factors of (2\/u)\/(-2*(-3)\/(-144)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10880)\/1360 - -4*(-8)\/(-6).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 3*a = 0. Let v = -66 + 71. Suppose k = 3*j - 7, 23 = v*j - k + 5*k. Solve a = -j*f - 4*q + 8, q = -4*f - 9 - 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4616*h**3*n + h**2*n - 2*h*n + 1353*n wrt h?\nAnswer: -27696*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {n: 8, s: 5, u: 5}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 k when four letters picked without replacement from nkkkkkkkknnk.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31523078 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + 6424?\nAnswer: 6433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1\/3, -2, 3 in decreasing order.\nAnswer: 3, 1\/3, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 146 and 1387?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 e, and 1 o when three letters picked without replacement from {x: 1, e: 1, c: 1, o: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, j: 17}. What is prob of picking 4 j?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 * 12.2471.\nAnswer: -526.6253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/(-576))\/((-1)\/(-2))*-6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5752 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/8028 and 101\/14272.\nAnswer: 128448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/3604034 and -3\/34.\nAnswer: 3604034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + ((sqrt(1584) - (2*sqrt(1584) + sqrt(1584) + 2)) + (1 + sqrt(1584) + 2 - sqrt(1584)))**2).\nAnswer: -192*sqrt(11) + 25368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*y - 9032 = -v, -3*y = -4*v + 18064. List the prime factors of v.\nAnswer: 2, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 17*j = -5*n + 50, 5*j = -4*n + 6*n - 118 + 120 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/49 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 z when three letters picked without replacement from {j: 1, l: 2, o: 1, z: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/5 of a litre in millilitres?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Work out -4.0907 - 4681.5231.\nAnswer: -4685.6138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5005, 10034, 15095, 20194, 25337, 30530, 35779?\n\"Answer: n**3 + 10*n**2 + 4992*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20 and -3.540816?\nAnswer: 70.81632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4 - 6*u + 4*u + 5*u. Let m(l) = -5. Let p(i) = -2. Let a(x) = m(x) - 3*p(x). Give -2*a(o) - f(o).\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4568.5672 rounded to 0 decimal places?\nAnswer: -4569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.18924ng to kilograms.\nAnswer: 0.00000000008818924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1575, 1526, 1477, 1428, 1379?\n\"Answer: -49*j + 1624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, 3, -8.2?\nAnswer: -8.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(114) - (sqrt(114) - sqrt(114)*-2)) - -2*(sqrt(114) - sqrt(114)*-1))*-1)\/(2*sqrt(600) + -2*sqrt(150)).\nAnswer: -3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/3)\/(d**(-27)\/d))\/(d\/((d\/(d**(-19)\/d))\/d)*d*d**(-2\/11)) assuming d is positive.\nAnswer: d**(1513\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002487229003 to 5 dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 267 + -262. Suppose 5*z + x*z = 3860. Is z a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 5*j**2 - 2*j + 3. Let d(g) = g**3 - g**2 - 1. Let m(k) = 3*d(k) + n(k). Let p = 338 - 339. Let q(y) = y**3 + y**2 - y. Give p*m(w) + 2*q(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2 - 7*a - 7. Let f(b) = 10*b**2 - 22*b - 22. Let i(o) = -7*d(o) + 2*f(o). Suppose 2*m + 12 = -0*m. Let l be 5\/2*m\/(-3). Give i(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y**3 + 0*y**3 + 0*y**3)*(20*y - 13*y + 13*y) to the form d*y**4 + b*y**3 + q*y**2 + o*y + f and give d.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -200*t - 7833. Give a(-36).\nAnswer: -633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = y + 5*g - 7, -2*g - 4 = -2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (2 + -15) - (0 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1*sqrt(117))**2 + 3)*-6.\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cni when three letters picked without replacement from {c: 2, n: 1, q: 1, i: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 92, 94, 96, 98, 100?\n\"Answer: 2*s + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 24. Which is greater: h or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 8*v**2 - v - 11. Let s be o(-8). Put s, 4, -5 in increasing order.\nAnswer: -5, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 11, v: 1, q: 2, i: 2}. What is prob of picking 1 v, 1 q, and 1 i?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1699644525 is divided by 5990.\nAnswer: 5985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*n = -0*n + 74, 50 = -3*q + n. Let r = q - -22. Let o(i) = i**3 - 6*i**2 + 5*i + 4. Is o(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -12. Suppose k*h + 5*f - f - 210 = 0, -3*h - f = -119. Suppose 5*j = -19 + 69. What is the remainder when h is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1914 + -1923. Which is the third biggest value? (a) -0.2 (b) o (c) 7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**2 + 2678796*x - 5357604 = 0.\nAnswer: -892934, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10194*f*w**2*y**2 + 109*f*w**2*y - w**2 + 72692*w*y + y**2 - 2 wrt f.\nAnswer: -10194*w**2*y**2 + 109*w**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.06, -5, -1.51, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3128\/9 + 4\/9*j**2 + 1556\/9*j = 0.\nAnswer: -391, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5049 divided by -1\nAnswer: 5049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -12*w - 3. Let d(a) = -15*a - 4. Let l be d(-3). Suppose m + 5*b = l, 0*b = 2*b + 8. Calculate the remainder when m is divided by i(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2164 - 2166. Sort v, 73, 2 in ascending order.\nAnswer: v, 2, 73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**2 + 16*l**2 + 6*l**2. Is h(1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/4*17\/(1020\/1512). Find the first derivative of 16 + 12860*m + s - 12920*m wrt m.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-8)*(-13430)\/(-1855). Let k = f + 67\/53. Find the common denominator of 81\/20 and k.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 406 and 1102?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 - 12*d + 79. List the prime factors of z(-14).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*f*n**2 - 2384721*f - 1541*n**3 + 2*n**2 + 4*n wrt n?\nAnswer: 6*f*n - 4623*n**2 + 4*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 9 - 78 = 0, 4*y + 228*r - 226*r + 62 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/211296 and 97\/7810?\nAnswer: 11621280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02668 - 15.02668. Sort -0.4, 3\/11, -5, d, 0.1 in descending order.\nAnswer: 3\/11, 0.1, -0.4, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 4*r**3 + 58*r**2 - 2*r - 1014. Determine l(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 3 - (0 + -6). Let v be ((-2)\/(-21))\/(o\/27). Find n such that v*n - 4\/7 - 2\/7*n**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 163.22322 to two decimal places.\nAnswer: 163.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8634765557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 34362 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2433.6315 months to millennia.\nAnswer: 0.202802625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/(-210)*(-12)\/(-10)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1190*i + 269833. Let l be t(-227). Let d be -1 - -1 - (297 - -1). Is d >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1 - c**3 + 3 - 4*c + 5 - 1 + 10*c**2. Is v(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 8*g**2 + 12*g + 7. Let k be r(-6). Sort 0, -1, 2, k in decreasing order.\nAnswer: k, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -9*x**2 + 2*x + 12. Let r(p) = -3*p**2 + 2*p + 6. Determine 5*r(q) - 3*t(q).\nAnswer: 12*q**2 + 4*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 563473 = -4*s, -665843 = -5*w - 2*s + 273270. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 2*q + 1\/6*q**3 + 11\/84*q**4 - 10*q**2 + 1\/1470*q**7 + 2\/35*q**5 + 1\/84*q**6 + 0. Determine v so that f(v) = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -5*k - 4*p, -4*k + 2*p + 3*p = 0. Suppose -7*n + 37 = -k. Put -2, n, -7 in decreasing order.\nAnswer: n, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1234 - -1236. What is the closest to m in 5, -0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqaceeeeaaaaaceerqe. What is prob of sequence qqa?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 6*c - 2*a + 8, -2 = -c - a. Let u(f) = 93*f + 4. Let x be u(-1). Let g = x + 90. Solve -g = c*v - 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + j - 6 - 2*j)*(-38 - 32*j**2 + 38).\nAnswer: 32*j**3 + 64*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -1 - 2 - 23*z + 21*z + 14. Is v(-7) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55540330 to the power of 1\/2, to the nearest integer?\nAnswer: 7453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 2:14 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 715579, 715565, 715551, 715537, 715523, 715509?\n\"Answer: -14*z + 715593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-3)*15\/10)\/(29\/58)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101111 - -10?\nAnswer: 110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*b**2 - 1017*b**2 + 271*b**2 to the form k*b + n + j*b**2 and give j.\nAnswer: -694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*d**2\/9 + 482936*d\/9 + 79160\/3 = 0. What is d?\nAnswer: -3958, -30\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -657 + 579. Let p be m\/(-5) - (-75)\/(-125). Solve 14*k - 11*k + p = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 - -16737?\nAnswer: 16827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 252, 569, 1002, 1545, 2192, 2937, 3774?\nAnswer: 4697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 3. Let o be s(3). Suppose o*b - 42 = -3*b + 2*c, 0 = -5*c + 15. What is the highest common divisor of 112 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91 - 97. Let v be -30003 - 0 - g\/2. Round v to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 < 1700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (-1 - (-4)\/4). What is the derivative of -7 - 7*v**3 + 1 + 2*v**r wrt v?\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 265 (b) 8 (c) -2\/5 (d) 0.3 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 5:11 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -1546 and 25223 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3702.957 millennia in decades?\nAnswer: 370295.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 274*v + 88*v + v**2 + 790*v + 0*v**2 - 6234*v**3 - 40*v wrt v.\nAnswer: -37404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1053)\/2808 + 3*((-294)\/720 + (-4)\/30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 12 + -13 - -16.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 3*m - m)*(-2658 + 2658 - 177*m).\nAnswer: -354*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 + p**2 - 2*p**2)*(9*p - 5*p + 5*p)*(0*p**2 - 5*p**2 + 3*p**2).\nAnswer: -54*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000049958631 to 7 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 163 and 47107.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -31. Suppose 4*r = -2*x + h + 25, 5*r = -x + 35. Let v(c) = 3*c - 5. Is v(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26524883 divided by 1.\nAnswer: -26524883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 671 - 0?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/q**(2\/9))\/q))\/((q\/(q\/((q\/q**(3\/2)*q)\/q*q)))\/q)*q\/(q*q*q\/(q**6*q*q))*q*q*q**(5\/3))\/((q**(-3))**(-2\/63))**(1\/4) assuming q is positive.\nAnswer: q**(716\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2057849 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1023798)\/(-14) - (4\/1 + (-500)\/140).\nAnswer: 2, 3, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/9, -4, -1, -2, -3 in increasing order.\nAnswer: -4, -3, -2, -1, 7\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005130539 rounded to 6 decimal places?\nAnswer: 0.005131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/9 (b) 0.4 (c) -4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 26718?\nAnswer: 26718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 - 229*j**2 - 117*j - 359. Determine c(-114).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10 - (120\/55 - 12). What is the second smallest value in -0.4, o, 1, 1\/6, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*j**2 - 3*j**2 + 2*j**2)*(-1 - 6 + 4) - 3*j**2 + 4*j**2 + 3*j**2)*((-1 + 1 - 2*j)*(-1 + 4 - 5) + 2*j + j + 0*j).\nAnswer: 91*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -331.7 + 332. Sort -5, 19, c in increasing order.\nAnswer: -5, c, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63289036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 27\/6*24\/(-18). Let h be -4 - -2*(-111)\/t. Suppose -c + 4*g - h = -98, -2*c + 169 = 5*g. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i + 2*i + 0 + 7. Suppose 1 = -4*f - 3*k - 3, f - 5*k + 1 = 0. Let y be (0\/1)\/(f*1). Give v(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*s + 6 = 0. Let a = 7 - s. What is the remainder when 15 is divided by 3\/6*2*a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-26)\/(m**(1\/24)*m) assuming m is positive.\nAnswer: m**(-649\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.2 less than 1370?\nAnswer: 1363.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -592*d - 308 = 2060 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 15*r + 28. What is h(-16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 205668.52 - 3771.52. Let f = -201636.314 + z. Let o = f + -261. What is o rounded to 2 dps?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 649862 to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5d32 (base 16) in base 2?\nAnswer: -101110100110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/705393 or 0?\nAnswer: -8\/705393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2 - 2552076*n - 5104148 = 0. What is n?\nAnswer: -2552074, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2823449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 3*f + 57, -2*b - 19 - 6 = f - 6 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-4) - (18\/(-8))\/(-1). What is the third smallest value in 1.1, 4, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27498296 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 65*k**3 - 454*k**2 - 52*k + 343. Give l(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((42\/(-224))\/(((-207)\/12)\/1))\/((-25)\/(-300)).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 4. Let j be w\/(-2 + (-22)\/(-10)). Calculate the greatest common divisor of 50 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37838, 152239, 343196, 610703, 954754, 1375343, 1872464?\nAnswer: 2446111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 53330606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 3:42 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 17*y + 2. Let c(s) = 3*s. What is h(c(i))?\nAnswer: 51*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 71 + 33. Suppose 3*f - d = 2*f. Suppose -4*k = -124 - 32. What is the greatest common divisor of f and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 6 = j. Sort 1\/36, j, -5, 0.2 in decreasing order.\nAnswer: 0.2, 1\/36, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11919 - 26549 = -4*d + 22970. List the prime factors of d.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, c: 1, v: 2, s: 1}. What is prob of picking 2 v and 1 c?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69\/(-46))\/(1\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 10 = -2*t, -11*f = t - 6*f - 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**4\/4 + 5*k**3\/6 - k. Let x(t) = -2*t**2 - 3*t. Suppose 15 = 8*l - 5*l. Give l*x(a) + 3*y(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 15 - 18. Let c = 44 - l. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3358175)\/15111585 + (-1 - 33\/(-27)). Let r = m - 254882030\/12425081. Let y = r + 11813\/740. Calculate the common denominator of 95\/6 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 6*v - 46. Let j(o) = o - 181. Give c(j(k)).\nAnswer: 6*k - 1132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2082.9 to the nearest ten.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, k: 4, i: 8}. What is prob of sequence knk?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15023 - 15029.9255. Round j to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281375267651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -0.2. Let w = 215726 + -215731. What is the nearest to v in 0, 0.7, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11834?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - v + 1. Let r be k(0). What are the prime factors of (-5)\/((r - 3)\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1870, 47, 2, -1 in descending order.\nAnswer: 47, 2, -1, -1870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 9. Let t be 24 + (-20)\/(-15)*j. Let c = t - 27. Which is bigger: c or -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16042 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5629639116 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d + 2*d - 3*d**4 - 3*d**3 - 48*d**2 + 51*d**2 - 3*d.\nAnswer: -3*d*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f - 2. Let u(y) = -y**2 + 17*y - 60. Let x be u(5). Suppose 3*b + 4*h - 37 = x, 4*b + f*h - 3*h - 43 = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -80843*b**2 - 10608?\nAnswer: -161686*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004109 rounded to 5 decimal places?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7296076923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 30. Suppose t*f - 12*f + 6 = 0. Suppose 0 + 12 = f*w. What is the greatest common factor of w and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 104 + 119*d**3 - 1664*d - 1544*d**2 - 18*d**4 - 431*d**3 - 616.\nAnswer: -2*(d + 8)**2*(3*d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 67 - -1375?\nAnswer: 140c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(2*m - 5*m + m)*(1 - 5 + 5)*(-m + m - 2*m).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24377524 divided by 716986?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 15526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 6902, 2, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/1 - (1 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*f = 5*b - 37*f - 9697, 7751 = 4*b - 5*f. What are the prime factors of b?\nAnswer: 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000099041166 to seven decimal places.\nAnswer: 0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -7*z + 3. Let v = -2 + -5. Suppose 20 = 4*r + r. Let d(n) = 3*n - r + 3*n + 4*n. What is v*k(p) - 5*d(p)?\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-211)\/85 + (-296)\/2516?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 + -1 + (25 - (-12 + 52) - 4).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605 is divided by 61?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/17 + 2\/85. Let d = -0.269 + 2.469. Sort d, c, 3, 4 in descending order.\nAnswer: 4, 3, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*v**2 - 27*v**2 - 1242*v**2 + 1270*v**2.\nAnswer: -26*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*g + 14 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 - 2*a**3 - 2*a**3 - 4*a**2 + 3 + 5*a**2 - 2*a. Determine p(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(28)*3.\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 218*i - 2 + 229*i - 3. Give v(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4949783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 9:39 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 50 = -5*c, 2*c + 3*x - 46 = 7*c. Let y be c\/4*(0 + -2). Let q = y - -8. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 278*n**3\/3 - 999*n**2 + 602. Find the second derivative of s(a) wrt a.\nAnswer: 556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-104)\/3*27\/(-6). Round j to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63855.\nAnswer: 3, 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9392 + 9407. What is the lowest common multiple of y and 1355?\nAnswer: 4065","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 9. Let n = 33 + -32. Sort n, 5, m.\nAnswer: n, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -13*i - 9. Calculate f(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 < -0.0454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*-2)\/((-11)\/11*-14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 173.8523 and -2\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 76154 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*i - 4*b, 0 = 3*i - 8*i + 5*b + 30. Suppose 0 = -v + i*v - 6. Differentiate 6 - 2*n**2 + v*n**2 - 4 wrt n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 4 - 8 = -4*w, 0 = -5*t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 380 and 6581125.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1267783 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/((s\/((s\/(s**(-11)*s))\/s))\/s*s)))\/s**(-1)*((s\/(((s**10\/s)\/s)\/s))\/s)\/s**2)**(40\/9) assuming s is positive.\nAnswer: s**(-680\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/805 + -159\/805. Sort n, 1, 2\/9 in ascending order.\nAnswer: n, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 38. Let m = v + 21. Let o = m - -14.1. What is the second biggest value in 3, o, -1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4070, 5, 7, 48 in ascending order.\nAnswer: -4070, 2, 5, 7, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 0 + 1\/5*o**5 + 11\/6*o**3 - 3*o + 0*o**4 + 0*o**2. Find the second derivative of z(g) wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76 - 382\/5. Suppose 12*r = 7*r - 75. Let u be ((-6)\/r)\/(14\/(-10)). Which is the nearest to u? (a) -5 (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101101011100 + 0?\nAnswer: 110101101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1134)\/28 - 68839\/(-1606)?\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2049426 milligrams to kilograms.\nAnswer: 0.0000002049426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62491 by 209.\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 + 87 - 87 - h**4 + h**4 - h**4 + h**4 - 4*h**4 + h**4 + h**4 + (2*h + h - 2*h)*(-3*h**3 + 2*h**3 - h**3) + 0*h**4 + h**4 + h**4.\nAnswer: -2*h**4 + h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/5)*g)**(-4\/13)\/((g*g**(-5\/2)*g)\/g*g)**(-8\/5) assuming g is positive.\nAnswer: g**(-68\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y + 2*y - 4 + 3*y + 0*y to the form p + s*y and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 448602 and 2310?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2050, -2045, -2040, -2035, -2030, -2025?\n\"Answer: 5*v - 2055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 636654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -1\/7 (c) -0.1 (d) 7 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 122533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 405, 408, 413, 420?\n\"Answer: w**2 + 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 4*y = 20, 2*y - 10 = -147*s + 152*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 161 = 12*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 3:52 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/17, 78\/67, 1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -69*n - 3378. Give h(-49).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -81474 - -116596. Is d a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = z - 1055. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 2, -7, 3 in descending order.\nAnswer: 3, 2, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -77281266538?\nAnswer: 77281266538.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + sqrt(500)))**2.\nAnswer: -40*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*i - 4*t, 0 = -0*t - 3*t. Find the first derivative of 1 + 1 + i*k**2 + 0*k**2 wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 4*t. Let a = 7 + -7. Let w(p) = a*p + 4*p**2 - 3*p**2 + 5*p. Let k(g) = 3*v(g) + 2*w(g). What is the second derivative of k(s) wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -3 - -1 - 0. Let z = 43 - 43. Which is the nearest to r? (a) -3 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c + 11. Suppose 0 = 3*d + 12, -4*d + 2*d = -j + 19. Let m(v) = v + 2. Let h(r) = -r**2 + 15*r - 16. Let g be h(14). Calculate g*f(x) + j*m(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6*t - 40. Let j(o) = o + 1. Let y(w) = -d(w) - 5*j(w). Let u be y(3). Solve -u*i - 1 + 5 = m, 0 = -5*m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3*(-342)\/(-6). Suppose -4*q + 13 = -43. Suppose 2*c + q = d. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122010010121 + 0?\nAnswer: 122010010121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 33, -2, 3, 24 in increasing order.\nAnswer: -36, -2, 3, 24, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3.065 times 0.1\nAnswer: 0.3065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, k: 3, u: 5}. What is prob of picking 2 t?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**2 + 222*n + 219 = 0?\nAnswer: -73, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3*(sqrt(153) + 0))**2 - (sqrt(153) + 0 + -1)**2) + 0.\nAnswer: 12*sqrt(17) + 2446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*j**4*o**3 - 283*j**4*o**2 + 6*j**2*o**3 + 65*o**3 wrt j.\nAnswer: 528*j*o**3 - 6792*j*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (15 - (27 + 1)) + 18?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 113613 at most 113636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 4. Let w(f) = -f**2 + 5. Let s(z) = -5*v(z) - 4*w(z). Let c(l) = 5*l - 35. Let k be c(8). Let g(q) = -16*q + 8*q + k*q + 6*q. Give g(s(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -20, 1, 732, 0, 7 in decreasing order.\nAnswer: 732, 7, 2, 1, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -1\/3, -2\/7, -2\/173 in increasing order.\nAnswer: -1\/3, -2\/7, -2\/173, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 7:51 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 2. Let t be 1 - (x\/(-2) + 1). Let o be (t\/3)\/(8\/(-36)). Solve -z = 3*i + 20 - o, 0 = -2*z - 3*i - 22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-28))\/((-3)\/(-14))*-1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.03883+554357\nAnswer: 554354.96117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/179032 and -43\/402822?\nAnswer: 1611288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11401 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1405, 2808, 4211, 5614, 7017?\nAnswer: 8420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 3*h - 27, 3*h - 4 = -4*l + 17. Suppose -18 = -w + 7*w. Sort w, l, -1 in descending order.\nAnswer: l, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 2*u**2 + u - 2. Let c be j(-3). Suppose -3*z = -32 - c. Solve -z = -5*d + d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11163 + 16825. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from pppkkpppp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1530, -2615, -3714, -4833, -5978, -7155, -8370, -9629?\nAnswer: -10938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 - 49. Suppose -5*x - t = 459, 4*x - 2*t = -0*t - 356. Let h = x + 163. What is the remainder when h is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -830\/9 (c) 1\/10 (d) 2\/13 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y**2 + 2809*y - 347410. Determine t(542).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (6 + -3 - 1) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 28 = 2*k, 0 = -6*k - 3*k + 10*k + 4 - 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l + 86. Let m be p(12). What is the greatest common factor of 42 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*x + x + 4*v, 2*x - 1 = 3*v. Let h = 11 + -8. Find p such that 4 - p**2 - p**x - 4 + p**4 - 2*p**h + 3*p**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.40087551 to three dps.\nAnswer: -6.401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4778 - -4787. Solve -4*n + 16 = 4*i, 0 = b*i - 7*i + 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 912375.\nAnswer: 3, 5, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b + 2 = 122 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 9*z + 3. Suppose 4*h = -5*y - 12, 5*h - 22 = -29*y + 32*y. Put z, -11, 1, h in increasing order.\nAnswer: -11, z, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -95 (b) -0.2 (c) 0.5 (d) -1\/2 (e) -2\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4180 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 752054 and 1886?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 46*v - 10. Let i be t(3). Suppose -5*y - 4*l = -i, 0*y - 3*l = -3*y + 66. Let z = y + 7. Calculate the remainder when 92 is divided by z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1326.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q - 196 + 1764. Let d = -95 + q. List the prime factors of d.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -7. What is the biggest value in 3, x, -4, -2.8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 94152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-2 - (-4 + (3 - -4)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a + 4. Let d be 1\/5 + (-78)\/15. Let j(f) = 5*f - 5. Calculate d*j(k) - 6*q(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -1. Let q(l) = l + 4. Let s(d) = 11*h(d) + 2*q(d). Let a(o) = 5*o**3 + o. Let u be a(1). Give s(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1)*(-34 + 34).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203991819?\nAnswer: 3, 521, 130513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-165)\/(-30)*6\/22*(-2204)\/87.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45188 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 434, 437, 452, 485, 542, 629?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 241785 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**3\/2 + w**2 - 3*w - 2. Let q(j) be the first derivative of c(j). Differentiate q(v) with respect to v.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 + -61. Let d(a) = -a**2 + 21*a + 13. Let x be d(h). Let m = x - 11. Solve -4 = m*s - 4*n, -2*n - 5 - 13 = 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -1908*u + 1907*u + 5*x, 0 = -3*u - 5*x - 60 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 425883145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**6\/900 - r**5\/150 + r**3\/6 + 3*r**2. Let v(j) be the first derivative of d(j). Solve v(u) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1520957, 3041887, 4562817, 6083747, 7604677?\n\"Answer: 1520930*s + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**3 + 4*p - 5. Let f be x(2). Let m = f - -25. Suppose -5*o + 41 = -w + 2*w, 3*w - m*o = 28. What is the greatest common factor of w and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2125, -4140, -6159, -8182?\n\"Answer: -2*h**2 - 2009*h - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 145524603 to the power of 1\/2, to the nearest integer?\nAnswer: 12063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (15 + (4 - 16) + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 587079*f + 7044959. Determine n(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 8*i**2 - i - 1. Let q be k(-8). Suppose 9*w = q*w + 70. Let o = -12 + w. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - -9. Let p be (-104)\/1872*-2*2. Which is the closest to -0.1? (a) -3 (b) w (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12649 and 1693993?\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 1004.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -3 + -121 + 107.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 - 18*b + 2. What is the least common multiple of g(-7) and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6*c + 444 = 5*n, 454 = 5*n - 2*c. What is the greatest common divisor of n and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 30*k**3 + 6*k**2 - 4*k - 5. Let g(q) = 20*q**3 + 4*q**2 - 3*q - 2. Calculate -5*f(c) + 7*g(c).\nAnswer: -10*c**3 - 2*c**2 - c + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 66737*w - 200352. Give h(3).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5 + 20 = 0. Let z be ((-2)\/((-4)\/14))\/(-8 - (2 - 11)). Sort z, p, 1.\nAnswer: p, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.60734 - -0.39266. Let a be 5 + 0 + (-2 - -4). Let t(p) = p**2 - 5*p - 6. Let r be t(a). Sort u, r, -4.\nAnswer: -4, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**7\/98 + o**6\/35 - 3*o**5\/70 - 2*o**4\/7 - o**3\/2 - 3*o**2\/7 + 53*o. Find l, given that p(l) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(180\/(-105))*(-3)\/(-28)*2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(833)))**2 + (sqrt(17) - (sqrt(272) + -3)**2) + -4.\nAnswer: -31*sqrt(17) + 3051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + v + 9, -3*v - 6 = -v. Suppose z + 4*z = -5*u + 70, y*u - 56 = 5*z. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 10324?\nAnswer: 10323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, p: 4}. Give prob of sequence fp.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9073 and 2795.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8290931 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 9:07 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 44.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, g: 2}. What is prob of picking 2 k and 2 g?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281461?\nAnswer: 149, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/13226 and 25\/14?\nAnswer: 92582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 421 - 94. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-4))\/((-3)\/(-12)). Suppose -2*m = s*m - 325. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k + 8*k - 7*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20123, 20155, 20187?\nAnswer: 20219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7783 + 1519 = -144*b - 204*b for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/13 (b) -3\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(-2)\/21*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 10 = 0, 2*m + 3*t - 7*t = -12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.048 - -21.048. Let d = h + -20.7. Which is the third biggest value? (a) 5 (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + (-24 - -13) - -33.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 10*h**3 - 3*h**2 - h - 5. Let d(r) = 3*r**3 - r**2 - 1. What is -12*d(s) + 3*w(s)?\nAnswer: -6*s**3 + 3*s**2 - 3*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9183 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012093538 rounded to 4 dps?\nAnswer: -0.0121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -767870 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/((-2)\/(54488\/(-21))). Let t = 9405 - k. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-17))**(6\/13) assuming b is positive.\nAnswer: b**(-102\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {b: 2, s: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + o**3 - o**3)*(-o - 3*o + 2*o + 2*o**2 + 0*o**2 + 3*o**2 - 5*o**2 + (4*o + o - 3*o)*(-o + 1 - 1)).\nAnswer: 6*o**5 + 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1730 + 185 = -3*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**2. Let p(r) be the second derivative of 0*r**3 + 1\/12*r**4 + 0*r**2 + 0 + 52*r. Determine s(p(q)).\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.2 - -0.2. Let k = -72995 + 656038\/9. Let t = k + 102. Put t, -2\/7, l in ascending order.\nAnswer: l, -2\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (32\/60 - (-20)\/150). Which is the closest to 0? (a) 0.3 (b) k (c) 10 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 14*g - 21. Determine h(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 49*p**5\/10 + p**3\/6 - 10*p**2. Let x be m(-1). Suppose -o = 4*o - x. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 27 = 4*z + 24, 30 = -2*z - 4*a. Let p(x) be the third derivative of x**5\/60 + x**4\/3 + x**3\/3 + x**2. What is the units digit of p(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-20\/7)\/a**(-1)*a**(-28)*a**(-6\/7) assuming a is positive.\nAnswer: a**(-215\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -24*w**2 + 3. Let o(v) = -1. Let b(p) = -n(p) - 3*o(p). Let r(t) = 2*t. Calculate b(r(x)).\nAnswer: 96*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30596795743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i + 16. Let y(l) = 371259*l**2. Give x(y(z)).\nAnswer: 1485036*z**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -122100?\nAnswer: 122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4977*n + 8156*n - 304 + 301.\nAnswer: 13133*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -881*v**2. Let w(i) = 7*i**2. What is w(o(b))?\nAnswer: 5433127*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/65)\/((-74)\/(-481)*(-10)\/(-4))?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 63317599, 126635203, 189952807, 253270411?\n\"Answer: 63317604*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dwdddddd?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1*-1*100\/(-25).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -0.9. Let s = -39520 - -39532. Which is the second smallest value? (a) 1 (b) -2 (c) y (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.18 and -401948?\nAnswer: -72350.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = 23*g - 20230. Is -2*g\/(-40)*(28 + 4) a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3990 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 20*d**2 + 12*d - 13. Let z(n) = 19*n**2 + 13*n - 14. Let a(j) = 3*b(j) - 2*z(j). Let s be a(-8). Let u = s - 578. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39402249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 + -257. Let y = o - -206. Let h = 5\/28 + 3\/28. Put y, 1\/6, 0.1, h in increasing order.\nAnswer: 0.1, 1\/6, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*j - 4*y, -j = y - 0*y + 2. What is the remainder when 62 is divided by 18 + 4*j\/6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 17*y**2 - 21*y + 109. Determine j(-18).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*h + 16, -2*b + 2*h = -0*b. Suppose b*u - u = -2*o + 50, -16 = -4*o. What is the remainder when 54 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-7) - 0 - (-3)\/(-7)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a**2 + 25. Let z(w) = w**2. Calculate y(z(f)).\nAnswer: -6*f**4 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -149*h + 145*h + 24, 0 = 4*h - 2*o + 12. Let b = -5079944\/623 - -8154. Is b <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from {s: 2, g: 2, n: 2, p: 2, o: 3, a: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -279, -10, 5, 0, 10, -1 in ascending order.\nAnswer: -279, -10, -1, 0, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + 9.9. Let d = l - 9.6. Let v = 10 - 5. Which is the second biggest value? (a) d (b) v (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95051580 a multiple of 1860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -118. Let o = 2549 + -2511. What is the highest common factor of d and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*0\/14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -549760 * 5.8\nAnswer: -3188608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -183201*f**3 + 145434*f?\nAnswer: -1099206*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 342310 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 j when four letters picked without replacement from mrijelmmrjj?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**2 - 16*i + 2. What is the remainder when s(5) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*y + 4*s, 1 = -4*s - 3. Let o be -7*(1 - y) - 2. Let l(u) = -u**3. Let c(a) = -3*a**3 + a**2 - 1. Calculate o*l(v) - c(v).\nAnswer: -2*v**3 - v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v + 5. Let i be k(-5). Let g be 18\/i*(-10)\/3. Suppose g*y - 11 = -n + 3*y, n = -2*y + 12. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/9 (b) -71 (c) 0.5 (d) 2\/97\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -526*x - 2421*x + 163 - 163.\nAnswer: -2947*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2427280 and 3398192.\nAnswer: 16990960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2. Let w be (-8)\/(-2 - (0 - 0)). Let s(d) = -10*d - 13*d + 16*d - w*d. Give m(s(t)).\nAnswer: -121*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 28*s - 10. Let m be q(3). Suppose 2*j = 5*j + b - m, 4*j + 4*b = 88. Calculate the highest common divisor of 130 and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (-31 - -7) + (-15)\/3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -156*z**2 + 2*z + 4. Let w be d(2). Let s be (w\/70)\/((-4)\/10). Solve 50 = s*k - 12*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16254 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 6 + (57 - 84 - -15) + (-2 - -5) + -64?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -127, 0.5, 2, 10, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 75*n**2 + 561*n + 1060. Calculate z(82).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/394 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - -1) + 3 + -5. Suppose -4*h + 2*h + r = 0. Is 2 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - s + 1. Let b(l) = -3*l + 3. Let j(z) = -b(z) + 3*u(z). Let x(k) = 0*k - k - 12*k + 0*k + 2*k. Give j(x(a)).\nAnswer: -363*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24\/203 - -15919\/2436. Suppose -6*b = -33*b + 28458. Let r = -11584\/11 + b. Calculate the common denominator of r and a.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmyyyuuutt. Give prob of sequence yuu.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 130*m + 132*m + 8 = 0, 0 = 18*g - m - 140 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 + 85*m**2 - 100*m - 180.\nAnswer: 5*(m - 2)*(m + 1)*(m + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28*f**4*w + 2*f**2*w - f + 28*w + 1 wrt f.\nAnswer: 112*f**3*w + 4*f*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 + 182*f**3 + 184*f**2 - 182*f - 183.\nAnswer: -(f - 183)*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2\/13, 5, 2, -8?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22.927 + -21.927. Which is smaller: f or 85\/257?\nAnswer: 85\/257","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/3)\/((-70)\/(-195)) + (-2)\/(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91)\/546*(-3192)\/(-380).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43673 - 19183 + 4512 = -1496*s for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**5 + 18*m**4 - 3*m**3 - 18*m**2.\nAnswer: 3*m**2*(m - 1)*(m + 1)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - (2 + 0))*85\/1. What is the greatest common divisor of 20 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.14 (b) -1\/4 (c) 2\/13 (d) -0.1 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13871\/117 + (0 - -1) - 3. Let s = a + -1766\/15. What is the common denominator of 41\/45 and s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 779?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjkkbfjkjffbnaabbn. What is prob of picking 1 k and 2 b?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 + 14*l**3 + 3*l - 2 + 13*l**2 - 12*l**2. Calculate q(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 2:24 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*i - 1849 = -8449. Calculate the highest common divisor of 930 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68062.3398 nanoseconds to weeks.\nAnswer: 0.0000000001125369375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290639.\nAnswer: 509, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2 + 11 = 0. Let f = u - -9. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, h: 2, k: 5, j: 4, m: 2}. Give prob of sequence mkk.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -w**2*x**2 + w**2*x - 28*w*x - 3*w - x**3 + 8*x**2 wrt x.\nAnswer: -2*w**2 - 6*x + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-140)\/6*(-21)\/14. Suppose 5*y = 10 + o. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**3\/6 - c**2\/2 - 4856*c. Let g = -2 - 5. Let v = -12 - g. Give a(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7 (b) 274 (c) 654\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**2 - 2. Let q be f(-2). Suppose -2*d + 4*s = -q, 5*d - d + 2*s = 78. Calculate the remainder when 30 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2 + 2 + 9*x - 10*x. Suppose 2*i + 23 = 3. Let q be (-18)\/24 + i\/8. Let r(p) = 3*p + 1. Give q*h(k) - r(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -9*t - 2*o - 37, 111*t = 110*t + 9*o - 7 - 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 5*x - 135, -2*t + 5*t = -2*x + 76. Let l = 53\/2 - t. Let j = -1 - -2. Which is the second biggest value? (a) -1\/5 (b) j (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137399 + 37541 = 10*c. List the prime factors of c.\nAnswer: 2, 8747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**6\/40 - q**5\/20 - q**4\/6 - q**3\/2 - 615*q**2. Give w(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16? (a) -1\/4 (b) 4 (c) -4\/3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 109383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62058 + 62058 - 270*x + 3*x**3.\nAnswer: 3*x**3 - 270*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-1)))\/(k\/(k**5*k)*k))\/(k**(-2\/17)\/k**(-1\/6)) assuming k is positive.\nAnswer: k**(505\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**3 - 112*c**2 - 40*c + 110. Let o be i(-22). Solve 6 = -4*p + 2*j, 23*p - 3*j - 6 = o*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*r + 215 = s, -5*s = -3*r + 285. Let y be 1\/5 + 36\/s. What is the third biggest value in y, 1\/2, 3\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -115\nAnswer: -24\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/11 + 6*f**2\/11 + 120*f\/11 + 200\/11.\nAnswer: -2*(f - 10)*(f + 2)*(f + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.12831s in microseconds?\nAnswer: 86128310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4))**(-7)*(x*x**(1\/6))\/(x**(1\/3)*x))\/(x**0*x*x\/(x*x\/((x*x\/(x**(2\/3)\/x*x))\/x)*x*x)*(x\/(x*x**(2\/3)))**(-42)) assuming x is positive.\nAnswer: x**(-113\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66209, 66141, 66073, 66005?\nAnswer: 65937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7978 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78243 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/10*6\/(-51).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79675 is divided by 13216?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18b + 644?\nAnswer: 7d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 8:25 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 4:56 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/19 - 18674*z + 51844308\/19.\nAnswer: -2*(z - 146)*(z + 177549)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95 + 122. Suppose -5*j - 1 = 2*z - 4*j, 5*j = z - q. Solve 5*d - z*a - 2 = 0, -2*a + 5 - 1 = -2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32124629 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -102245 * -0.2\nAnswer: 20449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 6*d + 4. Let m be t(5). Let b = 1 + m. Suppose -3*p + 2*r + 0*r + b = 0, -r = 2*p - 9. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/3 - 52124*u\/3 - 339613922\/3 = 0.\nAnswer: -13031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -236.\nAnswer: 1\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, n: 3, b: 1, m: 3}. Give prob of picking 1 n and 1 b.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**3 - 312*g**2 + 982*g + 12. Give u(-107).\nAnswer: -2021","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*u - 212 = 0, -5*u + 10 - 20 = 0. Find the second derivative of -254*x**5 + 128*x**5 + 1 - 14*x + 1 + t*x**5 wrt x.\nAnswer: -360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**3*y**3 - 7*s**3*y**2 - 6*s**3*y - 819550*s**2*y**3 - 2*s*y**2 - s - 201*y wrt y?\nAnswer: -6*s**3 - 4917300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -28. Let f(a) = -2*a + 2. Let d be f(p). Let l = -4 - -8. Solve 2*v = -b - 2, 4*v - d = -3*b + l*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3203723 is divided by 4035.\nAnswer: 3968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in ninety-one halves of a litre?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**5\/60 - 13*v**4\/24 + 7*v**3\/6 - v**2. Let m be z(6). Suppose 60 = -2*y + 2*w, -y - 25*w - 38 = -24*w. Is m greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4646 divided by -101?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkfkkgfbgg. What is prob of sequence gbk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/5292 and 11\/8820?\nAnswer: 26460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -2 (c) -21 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 4\/35279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 + x**2 + 5*x + 7. Let k be z(6). Suppose -2*v + 7*v - k = 0. Let j = 709\/7 - v. Which is greater: j or -1\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 272*n**2 + 4291*n - 4018.\nAnswer: -(n - 14)*(n - 1)*(n + 287)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 366 and 364 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 591662237 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: 0 * -906\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-11)\/(m**(-3)*m))**(3\/7) assuming m is positive.\nAnswer: m**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 3*q = -13, 4*u = -u - 2*q + 17 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/15 - (-12)\/(-30). Let x = 8 + -2. Solve -3*q - 3*l - x = g, 2*q + 0*q + 6 = -l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 640 and (-14)\/(-4)*144\/(-189)*-24.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*22\/(-77) + (-24)\/54*-15 + -1\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - sqrt(76)*-2) + -1 - (0 + 2 + sqrt(76)) - (sqrt(152)\/(sqrt(64)\/sqrt(128)) - (sqrt(931) + 1*sqrt(931) + 4*sqrt(57)\/sqrt(3)))**2.\nAnswer: -3727 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3186797498.\nAnswer: 2, 1593398749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 1\/4, -4\/17, 0.1, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -376, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 80?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -31074 divided by 456\nAnswer: -5179\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20496 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 18*g + 176. Give q(25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5*g - 20, -g - 2*f - 12 = -4*g. Suppose 5*q - 2*q - 35 = 4*m, 5 = -3*q - g*m. Suppose -q*p + 11 = -9. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**0*q*q\/q**(-1\/5)*q**(1\/5)*q**(-6)*((q**(2\/3)*q)**(-10\/13))**(3\/2) assuming q is positive.\nAnswer: q**(-359\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b*b\/b**(-9))\/(b\/b**(-3)*b))**(-35)\/((b**(1\/3))**(-8\/19))**(-30) assuming b is positive.\nAnswer: b**(-6065\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 69*d + 17. What is the units digit of w(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 506 or 1514\/3?\nAnswer: 506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 3225487\nAnswer: -9676461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l - 33*l**3 + 14*l**2 - l + 31*l**3 - 3. What is the remainder when 54 is divided by p(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-9))\/((-8)\/(-12)). Let m(b) = 2*b - 10. Let h(f) = -1. Calculate a*m(o) + 8*h(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 40?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.7394, -0.1, 3.7?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 200466 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 18 + 21. Suppose 4*a + 2*d = 2*a - 4, 4*a + x = d. What are the prime factors of ((-22)\/4)\/(a\/6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*i**3 - 20*i + 89*i**3 - 60 - 55*i**3 + 35*i**2 = 0.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 159766 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99)\/(-4)*6748\/(-5061)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20212\/9? (a) 0.5 (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -222991887, -445983774, -668975661?\n\"Answer: -222991887*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06855604 rounded to 5 dps?\nAnswer: 0.06856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-2))\/l)\/l**(1\/5))\/(l**(-1\/2)*l\/(l*l**(-5\/6))) assuming l is positive.\nAnswer: l**(22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 + 0.1. Let a = 0.2 + -5.2. Let l = a - -10. What is the nearest to f in -2\/3, l, -1\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616391?\nAnswer: 616391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -23*x + 965. Let s(d) = -10*d + 483. Calculate -3*q(o) + 7*s(o).\nAnswer: -o + 486","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 - 33681 + 16841 + 16840 - 3*m**2.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30044 and 444.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2060072*u - u**4 + 3*u**3 - 2060342*u - u**3)*(0 - 3 + 1) as b*u**4 + g + i*u + c*u**2 + j*u**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 9:51 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/551793 and 6\/37?\nAnswer: 20416341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17984771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, -1, 3990 in ascending order.\nAnswer: -76, -1, 3990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - l + 1. Let c be r(2). Let u(p) = -4*p + 2 + p + c*p + p. Give u(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609 a factor of 462458094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4.5105?\nAnswer: -4.5105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 3. Suppose f*v - 899 = -2*v + l, -2*l = -2*v + 454. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x = 12*x - 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s**2 - 17*s - 7. Let a be y(-2). Solve -671 = -a*v - 692 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0 = 8. Suppose q*r + 5*f = 61, -2*r + 4*f = r - 126. Suppose 0 = 2*h - 5*s - 47, -3*h + 0*s + r = -s. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 4*i - 5*b, 0 = -2*i - b - 3*b + 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 12:09 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**3*y**2 - 102*t**3 + t**2*y + 3*t*y**5 + 2*y wrt y?\nAnswer: 2*t**3 + 60*t*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 - -1. Let g be ((-15)\/(-6) - 1)\/(1\/2). What is the second smallest value in -5, a, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 12 = -4*v. Let c(u) = u**3 + 7*u**2 + 4*u - 6. Let b be c(v). Solve 0 = 6*i - 3*i + 5*z + b, -4*i + 3*z + 21 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-304)\/(-19)*(10 - 3). What is the greatest common factor of 80 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c83 (base 15) to base 5\nAnswer: -42243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3621 is divided by 240.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 24*q**2 - 6*q - 14. Let k(s) = s**2 - s + 1. Let a(p) = b(p) - 6*k(p). Differentiate a(f) wrt f.\nAnswer: 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 969*m - 1042*m - 6524 for m.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -565 + 1696\/3. Let n be (-5)\/(-52) + 2\/(-8). What is the nearest to n in z, -5, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 - (22 + (-24 - 9)) - 17?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -254\/5 + 51. Let c(d) be the second derivative of -1\/3*d**3 + d**2 - 1\/21*d**7 + 1\/15*d**6 + d + 0 - 1\/3*d**4 + y*d**5. Factor c(p).\nAnswer: -2*(p - 1)**3*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 7*n - 3. Let j be -5 - (2 - 2)\/(-2). What is the units digit of b(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20.4 + 20. Suppose 3*l = 2*o - 13, -l + 6 = 5*o - 1. Which is the second biggest value? (a) t (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 113cd2967 - -3?\nAnswer: 113cd296a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 1\/210*w**5 + 18 + 1\/42*w**4 + 1\/21*w**3 - 14*w + 1\/21*w**2. Let l(y) be the first derivative of s(y). Factor l(t).\nAnswer: 2*(t + 1)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4150 is divided by 58?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 34412.\nAnswer: 17206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(-80) - 0)\/((-1)\/(-2)). Let u = -0.01 - 0.09. Which is the second biggest value? (a) u (b) j (c) -1 (d) 0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/3216 and -115\/578058.\nAnswer: 309839088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7 (b) 5 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 = 45. Let w = k + -44. Suppose 5*i - 40 + 5 = w. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*t = 76, 4*t = 2*x - 4*x + 40. Suppose 0 = 2*s - 2*n - x, -2*s + 16 = -n + 3*n. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (4 - 8) + (-11 - -4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 14 = -3*c, -c - 4 = 42*l - 43*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25\/7882 (b) -2 (c) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -2*k**7\/175 - k**6\/200 + 3*k**5\/25 - k**4\/8 - k**3\/5 + 77*k**2. Solve q(b) = 0 for b.\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 2. Give g(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19661 = 3*s + 15*q - 11*q, -5*s + 32760 = 5*q. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2198*(6\/(-8))\/(-1)*218\/(-327). What is the highest common factor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*658.6.\nAnswer: -3293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -17 (b) 3 (c) -9 (d) 4 (e) -0.05 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10358 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108525\/(-2715) + 18 - -22)\/(1 + (-6)\/(-4))?\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in 0.324, -2\/9, -17, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 14*o**3 + 71*o**2 - 166*o + 63. Let f(t) = 3*t**3 + 18*t**2 - 41*t + 16. Let a(h) = -18*f(h) + 4*v(h). Factor a(d).\nAnswer: 2*(d - 18)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-4*b + 49*b + 10*b) + 4*b + 2*b - 4*b + (-2 - 1 + 4)*(-3*b + 6*b - 2*b) + 2*b + 2*b - 3*b.\nAnswer: -51*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, k: 2, y: 7}. Give prob of picking 1 k and 1 g.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1697442 divided by -2.\nAnswer: -848721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t - 2238 = -2334. Let m(y) = 12*y + 1. What is m(t)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, 2, -56\/9, 0.2 in decreasing order.\nAnswer: 2, 0.2, -5\/3, -56\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(1*-10))\/(((-4655)\/105)\/(-133)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f**2 - 24*f + 10. Give j(-10).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*c**3 - 34*c**3 - 69 + 2*c - 46 wrt c?\nAnswer: -117*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -12*m + 0*m**2 + 0*m**4 + m**3 + 0*m**6 + 0 - 1\/14*m**7 + 0*m**5. What is the second derivative of i(s) wrt s?\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.7353 + 2.1353. Which is the smallest value? (a) r (b) -0.1 (c) -0.124 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 862950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42685 and 848?\nAnswer: 36196880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-265)\/(-20))\/((-3)\/(-48))?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 v when three letters picked without replacement from {v: 1, e: 10, i: 4, f: 2}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.037 * 58.74\nAnswer: -2.17338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -5*y**3\/3 + 3*y**2\/2 + 2*y + 29. Factor b(i).\nAnswer: -(i - 1)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/84)\/((-2)\/28). Let u(s) = s**3 - 7*s**2 + 10*s + 4. Let c be u(x). Let z be 2*(c + 4 - -1). Solve -16 = 3*q + 2*l, z*q = 3*q - 3*l - 13 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-7) - (-1095)\/(-35)) + -3. Let q = r - -38. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**3 - 2*p**4 - p**4 + p**4)*((-4*p + 0*p + 2*p)*(-1 + 3 - 3) + 0*p - 3*p - p).\nAnswer: 4*p**5 + 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -698815028*a**2 + 363346975*a wrt a?\nAnswer: -1397630056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/5 - 6*j**2 - 96*j\/5 + 128\/5.\nAnswer: -2*(j - 1)*(j + 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 29, 6 in decreasing order.\nAnswer: 29, 6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(273\/56)*1\/28\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b - 52. What is s(16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-182)*3*(-182)\/(-104)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and 2203\/312 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/324 and 1\/594.\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + 4. Suppose 4*h = -7*h - o. Let i be h + 3 + 10\/(-2). Sort i, -3, 6.\nAnswer: i, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -2 + 2*a**3 - 17*a**2 - 7\/40*a**6 - 1\/14*a**7 + 0*a + 1\/20*a**5 - 1\/112*a**8 + a**4. Let v(f) = 0. What is f?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 8:15 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/3117712 and 41\/6954896.\nAnswer: 90413648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 10*u - 173. What is m(15)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -21*v**3 + 13*v**2 + 25*v - 1. Let n(g) = -11*g**3 + 7*g**2 + 13*g - 1. Let k(y) = 3*f(y) - 5*n(y). What is the tens digit of k(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170.047 weeks in minutes?\nAnswer: 11794073.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1127\/(-75) + (-236)\/(-8850)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = -7*r + 203. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 156*w + 7. Calculate the remainder when a(3) is divided by (-1 - 160 - -2)\/(-3).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -x - 2*s + 1, -23 = -2*x + 3*s. Calculate the least common multiple of x and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -566886, -566856, -566804, -566730, -566634, -566516?\n\"Answer: 11*j**2 - 3*j - 566894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.2735668 months to millennia.\nAnswer: 0.0001894639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -10139\nAnswer: -10139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*m = 30, -r - m = -3 + 1. Suppose 12 = 4*k - 2*i, 0 - 25 = -r*k + 5*i. Calculate the smallest common multiple of (4\/(-10))\/(1\/(-10)) and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -114 - -72. Let i = -7 - t. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330415?\nAnswer: 5, 66083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(42)\/(sqrt(6) + sqrt(24)\/sqrt(4)*-4 + sqrt(6) + sqrt(6)) + -4) + 1.\nAnswer: -3 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 1\/6*o**3 - 1\/4*o**5 + 5*o**2 + 0 + 0*o**4 + 0*o. Let g be u(1). Which is bigger: -15 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32463?\nAnswer: 3, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 34480 to the nearest 1000.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -657, -1926, -4329, -8244, -14049, -22122, -32841?\nAnswer: -46584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -332 + 320 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10370, -10379, -10400, -10439, -10502, -10595, -10724, -10895?\nAnswer: -11114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -33*q + 168. Let c be l(5). Solve -5*x - 3*f = 0, c*x - 11 = -3*f - f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/384 and -15\/896.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)\/(-3*sqrt(5)) - (sqrt(56)\/sqrt(7))**2) + (sqrt(54)\/sqrt(3)*3)\/((-1*sqrt(54))\/sqrt(6)))*1.\nAnswer: -8 - 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m + 3. Let i be u(4). Solve 4*z = 31 - i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/2)*c*c**25)\/(c**(-8))**(-32) assuming c is positive.\nAnswer: c**(-461\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17, 20, 21, 20, 17, 12, 5?\n\"Answer: -s**2 + 6*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 654117 = -5*x, -4*m = -4*x - 901239 + 247127. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4 + -14)*14\/88 and 1 - (-3 - (-220)\/32)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 11:59 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z. Let a(g) = -8*g**2 + 24*g. Let d(s) = -s. Let c(m) = -a(m) - 24*d(m). Give c(b(f)).\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 589 (base 13) to base 10.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -350 + 519. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r - 7*r + 3*r)*(3 - 3 - 2*r) + 2*r**2 - 2*r**2 - r**2 in the form m*r + k + d*r**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14160 - 14159.8. Which is the biggest value? (a) -23.4 (b) 1 (c) x (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476503375?\nAnswer: 5, 19, 313, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152293.\nAnswer: 152293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 15 = -a, 0 + 10 = -5*m. Let u(x) = 4*x - 3*x - 1 - a*x - 2*x**2 + 4*x**2. Let f be ((-3)\/(-2))\/(2\/4). Calculate u(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 0*b**3 - 1\/660*b**6 + 0*b - 1\/132*b**4 - 1\/165*b**5 + 0 - 3*b**2. Find g, given that m(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0876 + -442.0876. Let h = j - -441.7. What is the nearest to -2\/7 in -4, h, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00773 to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 3*u + 5)*(-3*u**2 + 3*u**2 + u**2) + u**3 - 2*u**3 - 2*u**3)*(3 - 4 + 3)*(28*u + 191*u + 82*u).\nAnswer: -3612*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49826.\nAnswer: 2, 7, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*o - 9*o - 2*b + 38 = -66*o, -5*b = 5*o + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 166 = 89. Let n be (2*1)\/(13\/(-117)). Let a = 35 + n. Calculate the highest common factor of y and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(68))\/sqrt(4) + ((sqrt(119)*1)\/sqrt(7))**2 + sqrt(17).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from aaacwawccaw?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 49, -8.95, -4\/7, 283, 0.5, -3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 390065 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182 and 2165527.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111110 (base 2) in base 9?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 7*m**2 + 15*m - 1. Let f be x(-2). Let h = 30 - 25. Solve y + f = h*g + 4, y + 4*g - 8 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2654*i**5 - i**2 + 305*i wrt i?\nAnswer: 159240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + u - 39 = -37, 0 = -3*z + 4*u - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, f: 3, i: 2, m: 7, b: 3, a: 1}. What is prob of picking 1 x and 1 f?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 27*m**3 - 82*m**2 - m + 5. Calculate o(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83373572?\nAnswer: 2, 20843393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 93*q**4\/4 + 4364*q**3 - 5265*q**2\/4 - 47*q = 0.\nAnswer: -188, -1\/31, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 124295 - 124295 + 2*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187208924 divided by 6686033.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-712)\/(-17) - (-20)\/170. Suppose -2*d - 40 + m = 0. Let p be (1 + -2)*-6 - 0. Sort d, -2, p, 5 in ascending order.\nAnswer: -2, d, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*v + v**2 - 32*v - 16 - 2*v**2.\nAnswer: -(v - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48498.3859708 + 48498.3. Let p = 444 - 444.086. Let m = f - p. Round m to six decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 29172?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert b16 (base 15) to base 8.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**8\/168 - l**7\/35 + 2*l**5\/15 + 24*l**2. Find a such that f(a) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10615115.\nAnswer: 5, 7, 37, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Let s(l) be the second derivative of -5*l**3\/6 - 15*l**2\/2 - 7*l. Let c be s(-7). Solve -2*q = u*q - c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -6*f - 5*w + 19, -5*f + 5*w = 10. What is the smallest common multiple of 63 and f?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8118 divided by 8118?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - h = 0. Suppose h = -4*n + 10143 - 1819. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000407948 to 7 decimal places.\nAnswer: -0.0000408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3043, 3084, 3165, 3304, 3519, 3828?\n\"Answer: 3*x**3 + 2*x**2 + 14*x + 3024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b**(-33)\/b)*b*b**(-1\/35)\/b*b)\/(b**3*b*b**(-32)*b) assuming b is positive.\nAnswer: b**(2239\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 - n**4 + 0*n**4 - 2*n**4 - 4*n**3 + 4*n**3 + (-3 + 2*n + 3)*(-4*n**3 + 3*n**3 + 0*n**3) + n**4 - 2*n**4 - n**4 - 65*n**3 + 41*n**4 + 65*n**3.\nAnswer: 33*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 8*b + 17. Let l be u(6). Let r = l + -60. Calculate the highest common divisor of r and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -727\/2 + 13793\/38. Which is the second smallest value? (a) -2 (b) -0.01 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/204985 or 0?\nAnswer: -8\/204985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*k + 48*k - 30*k)*(1 + k**2 - 1) + (2*k + 3*k - 3*k)*(3*k**2 - 5*k**2 + 3*k**2) - k**3 - 6*k + 6*k.\nAnswer: 79*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -46*o + 3. Let z(p) = 137*p - 8. Let a(y) = -7*d(y) - 2*z(y). Let l(j) = 4*j**2 + 2*j + 2. Let s be l(-1). Is a(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17804800 to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 312661 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g - 12. Let j(d) = 3*d - 18. Let v(n) = 7*a(n) - 5*j(n). What is v(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 85, 81, 59, 13, -63, -175?\n\"Answer: -d**3 - 3*d**2 + 12*d + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -z + 1. Suppose -f - z + 17 = 0. Is 14 a factor of f\/(-2)*108\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = y - 3, 0 = 5*h - 0*y - y - 5. Let b(p) = 2*p**2 - 4*p + 2. Let n be b(0). Solve 0 = q + m + h, -q + n = m + m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3885056 divided by 128.\nAnswer: -30352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*3\/570*(-10)\/2.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 + 18 + 14*j + j**4 + 2*j**2 - 245*j + 88*j - 16 to the form k*j + x*j**4 + v*j**3 + a*j**2 + n and give k.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25155, -50283, -75411, -100539, -125667?\nAnswer: -150795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1\/3 (c) 2 (d) -0.3 (e) -0.59 (f) 0.5 (g) -0.01845\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 140.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -217164, -217156, -217136, -217098, -217036, -216944, -216816?\n\"Answer: b**3 + b - 217166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g**2 + 25*g - 4. Let f(z) = -2*z**2 + 6*z - 1. Give -9*f(y) + 2*l(y).\nAnswer: 2*y**2 - 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -3. Let v be (1\/(-2))\/(q\/(-52)). Solve -2*y + k + 3*k + v = 0, -3*y + 29 = -4*k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -ca8?\nAnswer: ca4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -217028 + 332275. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -5*d**8\/336 + d**5\/30 - d**2\/2 - 3. Let v(g) be the second derivative of k(g). What is the third derivative of v(l) wrt l?\nAnswer: -300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d + 3*d + d**3 + (-d**2 + 4*d - 4*d)*(2 - 2 + 2*d) + 143*d**3 + 125*d**3 - 362*d**3 as k*d**2 + y*d + m*d**3 + t and give m.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(117)*-5 - -2*-2*sqrt(117))\/(sqrt(180)\/sqrt(5) + (sqrt(324) + sqrt(324)*-2 - sqrt(324)) + sqrt(9)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4331\/380 - -227\/19. Calculate the common denominator of s and -37\/1236.\nAnswer: 6180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 0.3, 83, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millisecond in microseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12322311113230 - 12?\nAnswer: -12322311113302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 - 141*w - 124. Let h be k(48). What is the highest common factor of 10690 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 5:00 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-81)\/(-15) + 3\/5. Solve 10 = -3*y - a, -5*y = -a + v*a + 30 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1))\/g)**(-4\/5)\/(g\/(g*g*g**(2\/23))*g**(-1)) assuming g is positive.\nAnswer: g**(148\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/((-222015)\/(-5814))*19.\nAnswer: 102\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 18*k**2 - 11*k + 51. Let c(p) = -5*p**2 + 4*p - 17. Let z(m) = -17*c(m) - 6*o(m). What is the second derivative of z(g) wrt g?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -7*u - 26. Suppose -z + 9 = -2*z. Is z less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25086994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 - (36 + -30)) + -37?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x + 1. Let r(l) = 44*l**2 - 9. Calculate r(u(k)).\nAnswer: 704*k**2 - 352*k + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -18*r - 10. Calculate the remainder when f(-5) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1086541, -1086609, -1086677, -1086745, -1086813?\n\"Answer: -68*q - 1086473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*sqrt(3) - (sqrt(3) + 2)*4.\nAnswer: -6*sqrt(3) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 53 * 633\nAnswer: 33549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 2819.2 (c) -2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -49, 156, -6 in decreasing order.\nAnswer: 156, 5, -3, -6, -49","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 21919007 to the power of 1\/2, to the nearest integer?\nAnswer: 4682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 9) + 9 + -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 142\/17, -2\/9, -0.3, 5\/3 in decreasing order.\nAnswer: 142\/17, 5\/3, -2\/9, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12002200201 (base 3) to base 16\nAnswer: -1881a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 35*m + 719. What is d(-34)?\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 - 0 - (-16)\/((-768)\/504).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -199 - -197. Is a\/25*-10 + 63482\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8385287?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {l: 4, h: 1, r: 1, a: 1, k: 2, f: 6}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/35)\/o)\/(o**11\/o) assuming o is positive.\nAnswer: o**(-386\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4668*i**3 + 1930*i**2 + 60*i + 1774196.\nAnswer: 28008*i + 3860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**4\/6 + 20*c**3\/3 + c. Let k(j) = j**3 - 49*j**2 - 101*j - 40. Let i be k(51). Let m(x) = 18*x - i*x - 6*x. Give m(n(r)).\nAnswer: 2*r**2 + 40*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 461 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-100)\/7)\/((-12)\/42). Suppose 53*q = v*q + 12. Let u be 2\/(-4)*4\/6. Which is the closest to -2\/3? (a) u (b) q (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 125182074*r**2 + 4191542*r.\nAnswer: 250364148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1\/4))**3)**48 assuming t is positive.\nAnswer: t**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r - 11. Let x(a) = 2*a - 7. Let s(j) = -5*l(j) + 7*x(j). Suppose 115*t + 274 = -761. Let c be s(t). Solve 3*n + c = 0, 3*u + 13 = -4*n - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -6) + 2\/(30\/47)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - c - 4078 = 0, 0 = -3*p + 7*c - 2*c + 2438. Let h = 539 + -204. Let i = p + h. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 27*p. Is 1\/317 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -190286.6 to the nearest one hundred.\nAnswer: -190300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 239*d**6\/6 - d**3\/3 - 329*d**2 - 45*d. What is the second derivative of n(h) wrt h?\nAnswer: 14340*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 5*z + 4*b + 45, -2*b = 0. Let m(s) = s**3 + 9*s**2 - 11*s - 48. Let w be m(z). What is the greatest common divisor of 85 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 11:10 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793.\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*d**4 - 2*d**3 - d**2 + 28*d**4 - 78*d**4 + 22*d**4 + 46 to k*d**2 + i*d + o*d**4 + m + w*d**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15860, -15802, -15646, -15344, -14848, -14110?\n\"Answer: 8*t**3 + t**2 - t - 15868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2320 + -133?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10301527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 465869 equal to 2329348\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/(-44)*4*1. Let s be 3\/((-3)\/37) + a. List the prime factors of (7\/(-21))\/(2\/s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 12:42 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/25, -5585, 0.02, 2\/5, -4\/3 in increasing order.\nAnswer: -5585, -4\/3, 0.02, 2\/25, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 18*x**2 - 4*x - 21. Let a(p) be the second derivative of p**3\/6 + 34*p. Let i(g) = 4*a(g) + y(g). Find the first derivative of i(u) wrt u.\nAnswer: 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*r + 34*r - 109*r + 30*r.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -576 + 184 + 45*b**3 - 34*b**3 + 200 + 192.\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (2 - -3))*2\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340 divided by -20.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (23 - 13)) + (2 - (5 + 2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 70149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 6*x**2 - 6*x - 6. Let t(b) = -11 + 3*b**2 - 14*b**2 - 12*b + 36*b - 3*b**3 - 18*b - 17*b. What is -11*r(h) + 6*t(h)?\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 480 and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1632 - -4?\nAnswer: -1625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**8\/(j**(2\/3)*j))**39)**(20\/3) assuming j is positive.\nAnswer: j**(4940\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/(1450\/(-4)))\/((102\/165)\/17)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-196)*8\/(-1)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnqd when four letters picked without replacement from qhhsdhhhqnhnnhnn.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -0*u + u + 29, 2*u - 2*d = 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21 + 9)*2 + 19. Let x = -3 - -1. What is the second biggest value in x, j, 4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*h, -34 = 4*d + 2*h - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -17*c + 17*c - c**2. Let m(s) = s**2. Let n(y) = y**2. Let q(v) = -2*m(v) + n(v). Give q(d(b)).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((141\/470)\/((-1)\/(-1)))\/(27*(-11)\/(-495))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ig when two letters picked without replacement from gxgigmmmkmmgmg?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88 - -79 - (-10 + (1 - 1))) + 6 + 65?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13319 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v + 17*v + 60*v - 8*v to the form x*v + b and give x.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -378*q + 8047. Determine t(22).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 101011011001000 (base 2) to base 14\nAnswer: 814c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -1121010?\nAnswer: 1121010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1086122262 to the nearest integer?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4556831753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 5, 0.1, -6\/11, 664.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*l - 15, -3*l + l = -2*z - 22. Suppose l = j + j. Suppose 5*i - 5 = 3*w, -5*w + 13 = -j*i - 0*w. Solve i*y - y + 6 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/2, 0.002, 623, -2\/25?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -5) + (19 - 16) + -8 + -11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**6\/900 - a**5\/100 - a**4\/30 + a**3\/2 - a. Let y(n) be the second derivative of v(n). Determine u, given that y(u) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**4\/7 - 127752756*s**3\/7 + 2040096088704938*s**2\/7 - 8160382821786744*s\/7 + 8160382310775752\/7 = 0.\nAnswer: 2, 31938187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 556 = 2*p + 4*i, 5*i + 626 - 115 = 2*p. Differentiate 174 - p + 155 + 24*j**3 wrt j.\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 177, 3, 4\/11997?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 808584 and 197.1117?\nAnswer: 808386.8883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4044, 4045, 4048, 4053, 4060, 4069?\nAnswer: 4080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68050466837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 98 + a699?\nAnswer: a764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 3*c - 12, 0 = -5*g - 0*g + 2*c + 17. Solve 6*a = g*a - 18 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -10799337.\nAnswer: 1\/10799337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 3*x**2 - 5. Let f be (3\/9)\/(1\/(-39)). Let d = f - -9. Does 4 divide j(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0)\/(36\/(-16)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 7:29 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**2 - 15*i + 230. Calculate the remainder when c(14) is divided by 116.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -574106073280*u - 2*u**2 + 574106073280*u.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1 = -3. Let o = 9 - 9. Let r = o - j. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4914, -3, 1, -1, 2 in decreasing order.\nAnswer: 4914, 2, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 891*g + 42711 = 425*g - 1059*g - 332*g for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1271*k - 9799. Let d(v) = -41*v + 316. Let b(s) = -123*d(s) - 4*x(s). Differentiate b(g) with respect to g.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 7*t**2 + 8*t + 16. Let p be h(-6). Suppose -3*y + 4*a = -13, -p*a + 64 = -2*y + 6*y. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 83899*r**2. Let d(p) = 14*p**2. Calculate l(d(m)).\nAnswer: 16444204*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -911 divided by -45?\nAnswer: 911\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112222111200 - 111?\nAnswer: 112222111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 761*l**3 - 761*l**3 - l - l**2 - l - 310 - 4*l**4 in the form d*l**3 + k*l**4 + r + g*l + x*l**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l + 3*l - 3*l)*(-2*l**2 + 3*l**2 - 5*l**2) to the form q*l**2 + w*l**3 + z + f*l and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45990289 is divided by 1318?\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 253092 or -367?\nAnswer: -367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**4 - 107*p**3 + 817*p.\nAnswer: -12*p**2 - 642*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -20.\nAnswer: 19\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*c - 5542 - 3523 = 254*c + 848*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1904.39 + 1904.2. What is the second smallest value in -1\/12, -5\/2, t, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.349 + -219.194976?\nAnswer: -218.845976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*(f*f**(-1\/6)\/f)\/f))*f**8*f)**(-39)\/(f**(-1)\/(f**(-2\/3)\/f))**(-26) assuming f is positive.\nAnswer: f**(-1963\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*o - 29. Suppose f - 2*k - 4 = 0, -4*f + 5 + o = -k. Calculate the greatest common factor of 6 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/187 and -95\/58823128.\nAnswer: 647054408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(28)\/(sqrt(36)\/sqrt(9)) - sqrt(7)) - sqrt(7))*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1800.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2.7 - 0.235836243226\nAnswer: 2.464163756774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15800 divided by -3160.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 5415?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52819 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1176\/(-91) + 13 - ((-21462)\/(-4212) - 5)\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -446 divided by 5\nAnswer: -446\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -7 + 4. Let h be (16 + -7)*(0 + f). Suppose -h*x + 280 = -22*x. Is x a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 29388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.5 + 17.5. Let b = o + -14.68. Let m = b + -0.31926. Round m to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25\/47 + 3\/94. Which is the biggest value? (a) 25 (b) 0 (c) 2\/7 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - 10)*4382\/6. Let j = -3606 - c. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*v + 4, -x + 3*v + 104 = 0. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*s - 4. Suppose 2*p + 5*b + 2 = 0, 0 - 3 = 3*p + 2*b. Let r = p + s. Calculate the highest common factor of r and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59410 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/6831 and -17\/621?\nAnswer: 6831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 - 1.2. Let y = 44 + -42.2. Let i = y - x. What is i rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8602 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3177702751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + y + (-3 + 3 + 2*y)*(-3 + 1 + 1))*(3*y - 3*y - 2*y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 10:25 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 2*c**2 + 1. Suppose -4*s - 2 = 5*u, 5*u = 10*s - 12*s - 6. Let g(w) = -299*w**2 + 598*w**2 - 302*w**s. Give g(a(b)).\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*m**2 + 70*m + 3*m**3 - 5*m**2 - 69*m in the form a + n*m**3 + f*m + h*m**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 2 - 47)*8760\/(-420). Let l = h - 10219\/10. Factor 1\/10*z**3 - l*z**5 + 0*z + 0 - 1\/10*z**4 + 1\/10*z**2.\nAnswer: -z**2*(z - 1)*(z + 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34*(1 - 33\/24)*(-70)\/105?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 19 + 3*m**2 - 11*m**2 + 6.\nAnswer: -8*m**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**3\/11 - 435*t**2\/11 + 157*t - 1293\/11 = 0.\nAnswer: 1, 3, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*v - 566 = -154*v - 16. Solve 2*z - 3*u - 1 = 0, -2*z + v*u = 3*z + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 23*s - 16. Determine t(-22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 228 + -162. Suppose 2*j = -3*p - 14, 2*j = -4*p - 2*j - 20. Let n be p\/(-10) - 56\/(-10). Calculate the highest common divisor of x and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34307.3 to the nearest one hundred.\nAnswer: -34300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 8*c + 11. Let p be a(-1). Let q(j) = -5*j + 0*j - j**3 - 3 - 11*j**2 + 17*j + 5. Let g be q(-12). Put p, -5, g in ascending order.\nAnswer: -5, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9))\/(6\/54)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -53?\nAnswer: -28\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 22\/15, -43?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v - 7*v - 117 + 122. What is b(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -271878, -271879, -271880, -271881?\n\"Answer: -b - 271877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 2*y - 31 + 42 - 17 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, 2, 40, 4, -2, 5 in increasing order.\nAnswer: -79, -2, 2, 4, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 5*n - 11. Give v(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363135?\nAnswer: 3, 5, 43, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16144621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csycscmsmmmsxms. Give prob of sequence sx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-33690)\/(-4))\/(-5)*2. Let z = k + 70799\/21. What is the common denominator of z and -43\/4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/6 + 323*s\/3 - 8060\/3 = 0. What is s?\nAnswer: 26, 620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -281521800 to the nearest one million.\nAnswer: -282000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767302?\nAnswer: 2, 383651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19197811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 2:24 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1651*m**2 - 1650*m**2 + 6581*m**2 + 68*m - 1645*m**2 - 1649*m**2 - 68*m.\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 30 = 7*n. Let v be (-1 - 2) + n + -7. Sort 5, -2, v, 3.\nAnswer: -2, v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1546501*g**2 - 773321*g**2 - 773266*g**2.\nAnswer: -86*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7039?\nAnswer: 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 4*y - 4*y. Let j(r) be the first derivative of -r**3\/3 + 3*r + 4. Let g(u) be the first derivative of j(u). Determine q(g(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-8 - (-6 - -14)) + (0 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0493? (a) 3 (b) 723 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, h: 2, j: 3, m: 6, y: 4}. What is prob of picking 1 x and 2 h?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -51*w**2 - 7*w - 11. Let j be m(-2). Let d be 9\/6 + (-3 - j\/6). Let i = d - -2. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3450*n + 15729 = 1780*n - 36571 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -61*m + 3. What are the prime factors of d(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.033 + 26.033. Let u be (314\/157)\/(21 - -2). Put a, u, 0.5 in decreasing order.\nAnswer: a, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5230*s**2 + 5277*s**2 - 1 + 1 - 15614*s**2 + 5490*s**2.\nAnswer: 383*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-81)\/(-6)*8\/12. Let l be -1*i\/(-2) + -3. What is the nearest to 1\/5 in l, 5, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + 127. Calculate the remainder when b is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12061567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 16 = -2. Let l(a) = 6*a - 1 - f - 6. What is the tens digit of l(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5280, 4316, 1706, -3372, -11740, -24220, -41634, -64804?\nAnswer: -94552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -11. Suppose 4*a - m = -b, -4*m - m = 5*a. Let f(c) = -20*c + 1. What is the units digit of f(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -176*j - 344. Let r be y(-2). Solve r*u + 45 = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 6*m + 2. Let z be v(6). Let q(d) be the first derivative of d**3 - 3*d**z - 3 + d**5 - d**3. Find the second derivative of q(l) wrt l.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/49*7*2\/14?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.806094 decades in millennia?\nAnswer: 0.06806094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -3, -0.03, -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -118*z + 3090. What are the prime factors of y(-23)?\nAnswer: 2, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -12*d**3 - 5*d**2 + 5*d. Let r(i) = i**3 + i**2 - i. Suppose 16 = 499*v - 491*v. Give v*p(j) + 10*r(j).\nAnswer: -14*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*r - 4. Let k(o) = -o**2 + 3*o + 4. Let d be k(r). Let x(a) = -a**2 - a. Let v be x(d). Solve v = 2*c + c + 2*l - 22, -4*c = l - 21 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352103997?\nAnswer: 3, 7, 523, 32059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((3 + sqrt(425) + -1)**2 - ((sqrt(425) + 0)*-6)**2) + -1)*2*2.\nAnswer: -59485 + 80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 468953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 6:41 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(200) - sqrt(200)*5) - (sqrt(20)\/sqrt(1000) + -3).\nAnswer: -401*sqrt(2)\/10 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 65151 to the power of 1\/2, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 70791, 278383, 622789, 1104015, 1722067, 2476951, 3368673?\n\"Answer: f**3 + 68401*f**2 + 2382*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -21*f - 871. Let g be j(-61). Put 3, 2\/15, g in decreasing order.\nAnswer: g, 3, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120840962323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10236797?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/13? (a) 0.5 (b) 1 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25814?\nAnswer: 2, 12907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -12*h - 16. Let o(u) = u + 1. Let a(s) = g(s) + 10*o(s). Let v be a(12). What is the tens digit of ((-6)\/5)\/(2\/v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02635*-131.\nAnswer: -3.45185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -6\/257, -12.1, -0.11?\nAnswer: -12.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28458 - 28456. Solve -4*y + 19 = o*f + 3, -3*f - 4 = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539 + 2772 = -78*m + 470 - 2619 for m.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 69 and 8.8?\nAnswer: 607.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - m = 11, 21 = -3*a - 0*a - 3*m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 454 + -710. Let j = -254 - s. What is the closest to 2 in 1\/3, j, 9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + -311)*506\/44. Let v be -2*(-2)\/(-4) - 1713. Let g = v - z. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 7*y + 2*y - 19, -3*y = 3*h + 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/470 and -1\/639858.\nAnswer: 3199290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/106572 and -131\/53286.\nAnswer: 106572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 20*s**2 - 8*s - 24. Let z(y) = 2*y**2 - y - 3. Let h(m) = -r(m) + 8*z(m). Let g(j) = -10*j**2. Calculate g(h(p)).\nAnswer: -160*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -179.52844 minus 1.1591?\nAnswer: -180.68754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 2*s**2 + 2*s - 1. Let r be g(2). Suppose 0 = -2*t - q - 2*q + 7, -r*t + 9 = 4*q. Let j = t - -6. 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 3 divided by -667.\nAnswer: -3\/667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1219146300 divided by -6.\nAnswer: 203191050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2221\/30 + -74. Let x(b) be the second derivative of 0 + 0*b**5 + t*b**6 + 1\/3*b**4 + 4*b + 0*b**2 + 0*b**3. Find the third derivative of x(c) wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 10*a - 1144. Is c(30) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 14. Let k(j) = j**2 + 12*j + 15. Let o be k(a). Suppose -o*h + 24 = 4*c, 2*h - 4*h + 2*c = -24. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -12*c**3 + 7*c**2 - 12*c + 1. Let o(r) = -7*r**3 + 3*r**2 - 7*r. Let w(x) = 5*o(x) - 3*y(x). Determine w(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 + (-3102)\/(-99))\/(5\/36).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/(sqrt(5)*1) + (sqrt(14) - -1*sqrt(14))*4)\/(-5*1*-2*sqrt(7)*6))**2 + -2.\nAnswer: -391\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 20 = 3*n - b, n - 35 = 2*b. Let j = 30 + -17. Calculate the remainder when n is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -174246 less than -172922?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(28)\/(sqrt(4) + sqrt(16)\/sqrt(4)).\nAnswer: -1 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -243*t + 86. Let d be n(-5). Suppose -10*z + d = -1379. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, 1\/3, -221?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7242 in 2\/18525, 3, 6\/5, 0.5?\nAnswer: 2\/18525","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 48, 64, 80, 96?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.7 + 12. Let n(t) = t**3 - 5*t**2 - t - 1. Let w be n(5). Let q be 1 + (w\/(-14) - 1). Which is the third biggest value? (a) q (b) f (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 351 and 6?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/19 - -24\/133. What is the smallest value in 10\/3, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/600 and 199\/420.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2398205389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1307\/5 - 262. Which is the second biggest value? (a) 0.6 (b) -0.1 (c) t (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10}. Give prob of picking 4 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-136)\/4)\/(-2) + 1. Let b = 29 - v. Suppose 3*z - 4*z - f + 103 = 0, -4*z + f + 392 = 0. Calculate the highest common divisor of z and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 7*j = -606. Let z = -95 - j. Calculate the greatest common divisor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1090110?\nAnswer: 2, 3, 5, 7, 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/15)\/((-4)\/24). Suppose 0 = -5*b - c*h + 16, -b = -0*b + 3*h + 2. Let n(a) be the first derivative of a**2\/2 + a - 2. What is n(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -31083066440 and 0.\nAnswer: -31083066440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0 (b) -0.3 (c) 2\/9 (d) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 2 - 5)*(-4*i**2 - 4*i**3 + 4*i**2)*(-164 - 8 - 47) to h + n*i + u*i**3 + x*i**2 and give u.\nAnswer: 1752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 19025 divided by -2\nAnswer: -19025\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 1890?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -99, -0.05, 1\/83?\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2427, -7330, -14743, -24666, -37099, -52042?\n\"Answer: -1255*a**2 - 1138*a - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 + 2*j**5 + j**2 + (0 + 0 + j**4)*(-2*j + 0*j + j) + j**5 - 2*j**5 + 0*j**5 + (0*j**4 + 3*j**4 - 2*j**4)*(2*j + 2 - 2) + 4*j**5 - 2 + 2.\nAnswer: 6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 663360 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/10 + 48902*x\/5 + 39120.\nAnswer: (x + 4)*(x + 97800)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208840.\nAnswer: 2, 5, 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-11 - -3) + 1177 + -1154?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 2*z**2 - z**2 + (z - 4*z - z)*(-2 + z + 3*z + 0))*(-3*z**2 - 2*z**2 + 3*z**2).\nAnswer: 40*z**4 - 16*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0122 - 0.3878. Which is smaller: z or 64?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 9*a**2 - 4*a - 4. Let k be s(4). Suppose 5*d - 44 = -k. Let f = d - -46. Calculate the highest common divisor of 20 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a + 7 - 19 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2.4*-42779\nAnswer: 102669.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**2 + 3. Let z(o) = -3828*o - 28*o**2 + 3828*o. Give t(z(k)).\nAnswer: -56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 6. Let f = 11 - 5. Let l = f - s. Which is the second smallest value? (a) -2\/3 (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -17. Let h = -17 - -17.5. Let g = 0.2 - h. Which is the second biggest value? (a) 7 (b) g (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 99*t + 574. What is the units digit of d(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 2, 6, -0.5, -3880, 2\/3.\nAnswer: -3880, -2\/3, -0.5, 2\/3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139378?\nAnswer: 2, 227, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*m + 33*m - 279 = 157 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22 + (-1251)\/36 + 13. Let j(q) be the first derivative of -25 + 1\/10*q**2 - 2\/25*q**5 + 0*q + x*q**4 - 4\/15*q**3. Factor j(v).\nAnswer: -v*(v - 1)**2*(2*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274890 take away -0.4?\nAnswer: 274890.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 4*f**4\/3 + 1100*f**3\/3 + 75625*f**2\/2 - 642*f + 3. What is m in p(m) = 0?\nAnswer: -275\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*((-4)\/6 + 55\/60). Let v(p) be the second derivative of j + 1\/2*p**3 + 0*p**2 - 3*p. Let r(o) = 2*o. Determine r(v(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13624\/(-655)*(-5)\/4?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2347267791, 2347267790, 2347267789?\n\"Answer: -o + 2347267792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -577124, -577121, -577116, -577109, -577100, -577089, -577076?\n\"Answer: c**2 - 577125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/3, -34, 6, 0.5, -2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w. Let t(v) = -v - 1. Let o(i) = 60*i + 75. Suppose 13*m - 160 = -2*n + 11*m, -3*n - 5*m = -250. Let l(k) = n*t(k) + o(k). What is l(z(c))?\nAnswer: -30*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 11*f + 4. Let p be d(-6). Let k(c) = -c**2 - 29*c - 20. Suppose 31*b - 33*b = 54. Let n be k(b). Do p and n have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-521)\/9 - (-1)\/(-9). Let l = 62 + f. Let q = l + -4. Which is smaller: q or -1\/42?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**5 - 6402*i**4 + 57429*i**3 - 114750*i**2 = 0.\nAnswer: 0, 3, 6, 2125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, 4\/7, 0, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9540 divided by -5?\nAnswer: 1908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4784331*k**2 + k + 5626247.\nAnswer: -9568662*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1363 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1265.4 + 1265. What is the biggest value in 16, a, -0.1, -1\/6?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2237*q**3 - 16*q - 1134731?\nAnswer: 6711*q**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/50 and ((-321)\/(-900))\/(6 + (-80)\/15).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.411 - 3.469. Let d = l + 5.45. What is d rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -268, -532, -782, -1012, -1216, -1388?\nAnswer: -1522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*s = 24. Let x be (-58)\/(-29) + s\/((-4)\/(-2)). Factor -16\/3*k**2 + 0 - 4*k**x + 0*k + 8*k**3 + 2\/3*k**5.\nAnswer: 2*k**2*(k - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1.1, 3, -1\/2, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**0)**29\/((b*b*b**(3\/25)\/b)\/b)**3 assuming b is positive.\nAnswer: b**(716\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 14*u**2 - 969*u + 4274. Calculate v(37).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 137*p**3 + 85*p**3 - 351*p**3 + 105*p**3 + 134*p**3.\nAnswer: 110*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011110111100 (base 2) in base 9?\nAnswer: -27164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011011 + 110011001010?\nAnswer: 111000100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -11*q - 259. Let n be l(-26). Let j = 2 + 34. Calculate the highest common factor of n and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 3*y = 77, -3*n + 2*y + 26241 = 26167 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 2*t - t)*(43 - 18 + 17) + (-3 - 2 + 3)*(-4*t + 4*t + t).\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 3 (b) -2\/39 (c) 0.1 (d) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 * 258209.\nAnswer: 7488061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 9*v - 5. Suppose 5*f + 48 = p, 5*p = -4*f + p - 48. Let s be x(f). Suppose -w - 5*u + 2 = 0, s*w - u - 4*u = 10. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 10\/11*i**2 - 18\/11*i**3 + 18\/11*i + 4\/11 - 14\/11*i**4 = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112202210000 (base 3) to base 13\nAnswer: a2423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1532.485ml to litres.\nAnswer: 1.532485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2 + 2 + 3 + 14863*n - 14111*n.\nAnswer: 752*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-4 + -3)) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8631773 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.7, -0.07, -1\/1965?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.124 to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-15)\/14)\/(-15))\/((-12)\/16)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + p. Let z(b) = 6*b**3 - 3*b. Let n(g) = 3*d(g) + z(g). Let i be n(2). What is the remainder when 22 is divided by ((-9)\/(-2))\/(9\/i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1080551, -1080591, -1080673, -1080815, -1081035?\nAnswer: -1081351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*i + q, i - 3*q = -3*i - 12. Let j(k) = -k + 2. Let b be j(i). Let f be (-2)\/(-10) + b\/(-10). Solve f = -3*w - 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41184, 41353, 41524, 41697?\nAnswer: 41872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 10 - 2 = 0. Suppose -3*s - 16 = -u*s - 2*y, 4*s + 34 = 2*y. Let i be (6\/(-4))\/((-36)\/s). Which is the closest to 0.3? (a) i (b) 2\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sggssgsaajgsssajg. Give prob of sequence aja.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (52 + -37 - 132) + 87\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7205, 13469, 19733, 25997, 32261?\nAnswer: 38525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 - 3 - (45 - 52).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -24 (b) 17\/16 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**5\/2 + 23*b**4\/2 + 187*b**3\/2 + 633*b**2\/2 + 396*b + 162 = 0.\nAnswer: -9, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -0.04 (c) 0.03 (d) -2\/11 (e) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by 49.\nAnswer: 90\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-2)*1 - 9. Let y be ((-13)\/(-2) - 2)\/g. Which is bigger: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000264 rounded to 7 decimal places?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 bigger than 343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5897*d**2*h + 43*d**2 + 36*d wrt h?\nAnswer: 5897*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -34, -53, -72?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2195*s. Let z(a) = -2*a**2. Determine z(o(t)).\nAnswer: -9636050*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -916 at least -913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 690, 553, 416, 279, 142?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 18*m**2 - 7*m + 11. Give k(2).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482391124 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 4*w + 15 = -9*w, 5*m = -2*w - 20 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-4)\/(-12)) - -5. Suppose n*k = -k - 126. Let l = 3 - k. What is the greatest common factor of 18 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -8*b + 28. Suppose 0 = 4*u - b*u + 45. Solve 9*s - u = 6*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 88?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3*-816.2266\nAnswer: -2448.6798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*s + 160 = 6*h, -2*h + 3*s = -49. Let m = h - 20. Solve 0 = -4*b + 7*b + m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1*-2*sqrt(448))**2)*-5 - (-5 + (-1*-3*(1 + sqrt(448) - sqrt(448)))**2).\nAnswer: -8984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*h - 2. Let s be 16\/(-8)*(-5)\/h. Let z(q) = 5 - 4 + q**2 + 3 + 5*q. What is z(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2761, 2760, 2759, 2758, 2757, 2756?\nAnswer: 2755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 61 + -9 - (-7 + 8).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-70)\/7)\/20)\/(3\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -33*j**2 - 24*j + 4. Let p(s) = 66*s**2 + 43*s - 8. Determine -9*m(z) - 5*p(z).\nAnswer: -33*z**2 + z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/42 - (2 + 4\/(-3))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33440432 (base 5) in base 14?\nAnswer: -7a011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(17)*-2 - sqrt(17))*3.\nAnswer: -54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240\/(-72)*(-3)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-3)*24\/16. Suppose o - 3 = j + 3*i, -2*j = -2*i - 6. What is the common denominator of 73\/12 and (-620)\/(-88) - j*1?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + u + 4. Let t be q(0). Suppose -t*m + 0*m = -s - 40, 0 = -4*m - 5*s + 16. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q + 2*q - 1 + q - 2*q - q + q + (5 + 1 - 4)*(2 - 2 - 2*q) + 2*q + q - 2*q - 3 - q + 3.\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -6628?\nAnswer: 39768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12)\/(-78) - -67*(-2)\/52 and -37\/5.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n. Let m(t) = 2146*t + 178. Give m(v(h)).\nAnswer: -6438*h + 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10)*(-75)\/(-25)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8378080*q**2 + 16756321*q**2 - 8378183*q**2.\nAnswer: 58*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 3*f + 13, -967*d + 968*d + 2*f = -2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76749.\nAnswer: 3, 25583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 10*k**3 - 2*k + 1. Let d be g(1). Suppose 2*j - 1 - d = 0. Suppose j*c = 2*q + 3*c - 1430, -699 = -q + 5*c. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(10\/6) + -1 + 0. Suppose -176 = -p*j + 142. List the prime factors of j.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8265 + 8269. Solve p*d = d - 5*i - 16, 0 = 3*i + 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 572245 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 3:45 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 13 + 14 = 0. Suppose 0 = p + u*p - 230. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*(0 + (5 + 1*sqrt(432)*-2)*-3) + 1)**2.\nAnswer: -9504*sqrt(3) + 63297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38574186 to the power of 1\/2, to the nearest integer?\nAnswer: 6211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -7007.538 to the nearest one hundred.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 - 2*p - 4*p**2 - 104326 + 103770 + 6*p**2 in the form r*p**3 + h*p + y*p**2 + o and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9874 and 8142.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 6 = 8*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 228\/(-315) + (384\/36 - 10). Put g, 3, 0.5 in descending order.\nAnswer: 3, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 2. Let c be z(0). Suppose 5*v = 3*s - 14198936, -c*v = 2*v + 3*s + 11359138. Let q = 5639786 + v. What is q rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/5 - 12703*q\/5 - 28258254\/5.\nAnswer: (q - 14634)*(q + 1931)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2 + 4. Suppose -24 = 4*a + k + 3*k, 5*a + 18 = k. What is the units digit of ((-22)\/4)\/(c\/a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71709 - -71751.519. Let g = s + -6.429. What is g rounded to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 426*b**2 + 45352*b - 1751. Determine s(218).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 240408*u = -4*o + 240413*u - 70, 0 = 2*o + u - 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 + 23*x - 15. Let g be b(11). Let c(s) = -s**2 - 2*s + 8. Let y be c(g). Suppose -3*r = 5*q - 74, y = -q - 3 + 1. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 2. Let u(n) = 7*n - 19. Let d(z) = 2*b(z) + u(z). Does 3 divide d(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 4*w**2 - w + 3. Let f be o(3). Let q = f - -6. Is 11 a factor of 2 + q\/2*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000301 to six dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/72 and (544\/(-864))\/((-93)\/(-18) + -2).\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j - j**4 + 2*j**4 - 3*j + 1 - 2*j**3 to the form y*j + b*j**2 + i*j**4 + n*j**3 + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 73. Let s be ((-5)\/(d\/12))\/2. Let o = -134\/5 - -27. Which is smaller: o or s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 12:35 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*f = 23, -2*f = -4*n - 3*f. Suppose -5*a + 129 = -516. Is (6\/18)\/(n\/a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, c: 1, d: 1}. What is prob of sequence cd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 0 - (-25 + 26). Solve 6*l = -v + 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -c + 3. Let h(s) = -2*s + 0*s + 15 - 10. Determine h(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**4\/4 + 4*o**3\/3 - 5*o**2\/2 - 6*o + 1. Let l(c) = c**2 - 10*c - 4. Let r be l(10). Is b(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -10383117?\nAnswer: 10383124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 378, 716, 1032, 1314, 1550, 1728?\nAnswer: 1836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 8. Suppose 0 = 4*r - 0*r - f. Suppose -4 = -a + h + 3, -4 = r*h. What is the remainder when 11 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 167466 and 8814?\nAnswer: 167466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 3:46 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/9 + (-5556)\/27. Let r = a - -725. Suppose 3*m + r = 5*s, 4*s - 210 - 192 = -2*m. Round s to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1760 - -1743.66. Let h = 1170 - 1169.66. Let q = z + h. Which is greater: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 7497.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2057, 4114, 6171?\n\"Answer: 2057*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**7\/504 - 17*v**6\/720 + 7*v**5\/40 - v**4\/12 - 8*v. Let y(r) be the third derivative of t(r). Is y(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -120, -233, -346, -459?\n\"Answer: -113*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (3 - (4 - 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.688247 decades in centuries?\nAnswer: 0.2688247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -176 + 171. Let s(p) = -p**3 - 3*p**2 + 7*p - 7. Let w be s(t). Solve 3*z = 5*x - w, -z + 4 = x + 4*x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4434 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: Calculate (-56)\/(-42) + (-4)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -1718527189594?\nAnswer: 1718527189593.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1498948 to the power of 1\/2, to the nearest integer?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -471*f. Let p(q) = -q + 62. Determine g(p(k)).\nAnswer: 471*k - 29202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/44 - (-40)\/22. Suppose 8 = v - t - 3*t, -4 = s*v - 3*t. Let f(c) = -c**2 - 7*c + 11. Calculate f(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 17. Determine v(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 + 1.1. Let h = -9 - -7. What is the third biggest value in 0.4, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -74 - 75 - -106 - -31?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27084877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1730*d**3 - 6*d**4 - 249*d**3 + 485*d**3 + 9*d**4.\nAnswer: 3*d**3*(d - 498)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/15 + 0\/(-2). Let l = -0.5 + 4.5. Let p = 6 - l. Which is the biggest value? (a) -4 (b) q (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*t = 109*t - 894 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -s + 0*s + 2*s + (3 - 5 + 4)*(s + 2 - 2) + 2*s - s + s - 2*s - 2*s + 2*s + (-2*s + 3*s + 5*s)*(-1 + 4 - 1) as w + h*s and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - i = 23, 0 = -2*i + 4. Suppose -r*d = 4*w - 91, d - w + 37 = 3*d. Is 19 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 242 + -170. Calculate the common denominator of s\/(-16)*9\/(-30) and -109\/70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 3. Suppose -a*m = -3*u + 3, -u - 17 + 2 = 3*m. Is (m\/(-3))\/(4\/66) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**2*t**2 + 29*b**2*w**3 - 247*b*t**3 + 22*t**3*w**3 + 2*t**3*w - 3*t*w**2 + t*w wrt w.\nAnswer: 174*b**2 + 132*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 - 0.2. Suppose 4*p + 3*h + 15 = 0, -25 = p - 0*p + 5*h. Sort 4, p, a in ascending order.\nAnswer: p, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -212, -0.3, 5, 1, -0.7, 0.3 in descending order.\nAnswer: 5, 1, 0.3, -0.3, -0.7, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 1.1865.\nAnswer: -0.2373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169.06642 rounded to the nearest 10?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*d - 9*d + 18*d**2 + (-2*d - 2 + 2)*(d - 3*d + 4*d).\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9 + 6 + -2 + -1. What is the tens digit of n\/(-4)*(-612)\/(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**2 - 28*z - 5*z**2 - 5*z**3 - 39*z + z**2 wrt z.\nAnswer: -30*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-11)*n*n*n**5*n)**(-7\/10)\/((n**(1\/3)*n\/n**(-3\/5))\/(n**(1\/2)*n)**(-10)) assuming n is positive.\nAnswer: n**(-89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2. Let x(g) = -10515164*g**2. Calculate x(b(v)).\nAnswer: -42060656*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 48573929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hddhssfhhheh. Give prob of picking 1 e and 1 s.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/1 - (-14 - -3). Suppose -3*g - 4*a = 6 - 23, -2*g - 4*a = -l. What is the highest common factor of g and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -448*c**2*x**5 + 638*c**2*x**3 + 11971*c**2*x + c**2 + 10*c - 1 wrt x?\nAnswer: -8960*c**2*x**3 + 3828*c**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 187460 and 133900?\nAnswer: 937300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 8:50 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 445132123 (base 6) to base 8.\nAnswer: 36654263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(98) + 2)*-3 + -4)*1 - 2*(-1 + 5*(sqrt(98) + sqrt(98)*1))) + -2)**2.\nAnswer: 3220*sqrt(2) + 51942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -44 - -56?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3135*b*f + f + 348 wrt b?\nAnswer: -3135*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 481616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1012*f**2 - 8904*f\/5 + 2752\/5.\nAnswer: 4*(5*f - 2)*(253*f - 344)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 15 + 3. Let i be -4*(-3)\/18*s. Suppose -i*p + 74 = -14. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/189)\/((44\/(-55))\/(7\/10))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -169033495*f**5 - 316427*f**2 + 5*f?\nAnswer: -10142009700*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 342 - 3926. Calculate the greatest common divisor of 28 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 413 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2)*f)\/(f\/(f*f**(-6))))\/(f**(-1\/2))**7*(f**(-2\/5))**(2\/53)\/((f\/(f\/f**(-1))*f*f)\/f)**22 assuming f is positive.\nAnswer: f**(-1863\/530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16217.\nAnswer: 16217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*(-7)\/28*-8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -135 - -136. Suppose 2*k = -v + y, 3*k - 7 = 3*v + v. Solve 2*n = 1 + k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -19 + 90 + -46.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -115*i**3\/2 + 62257*i**2\/2 - 4234140*i + 5722650.\nAnswer: -(i - 270)**2*(115*i - 157)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 11*l**4\/2 + l**3\/3 + l**2 - 3*l - 30. Is i(1) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/9016 and -117\/428260?\nAnswer: 856520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 2*u**2 + 3*u - 3. Suppose -2*q - t + 13 = 2*t, -5*q + 37 = 3*t. Let s be (-21)\/(-6)*q\/14. What is the units digit of y(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 48, -27, 5\/4, -8.\nAnswer: -27, -8, 1\/7, 5\/4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2992 by -22.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (324\/84 + -4)*(0 + -2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5 - (2640\/(-1075))\/22. Which is smaller: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*o**2 + 3 - 3)*(0*o + o - 2*o + (-4 + 1 + 1)*(0*o + o + 0*o))*(4*o**2 + 2*o**2 - 2*o**2).\nAnswer: 312*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.183 + 0.383. Which is the nearest to 10? (a) 2\/7 (b) f (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66 + -39. Let t = -82 - n. Let h = t - 22.9999758. Round h to 6 dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1089824020?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45308 and 4794.\nAnswer: 2310708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 609 and 87.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3 - -0.3. Let s = 0.38 + 1.12. Let j = s - 1.7. Which is the third biggest value? (a) i (b) -0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 + 2306*k + 19*k**3 - 2306*k - 78.\nAnswer: 19*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3721 (base 9) in base 10?\nAnswer: -2773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1271 by -7.\nAnswer: 1271\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 2*d + 0 + 1)*(2 - 2 + 1) + 0*d - 3*d + 4*d.\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -26*6\/4*-1. Let q = 128 - x. Calculate the remainder when q is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 36*x - 2. Let p(j) be the second derivative of 5*j**3\/6 - 4*j**2 - 786*j - 1. Determine p(f(r)).\nAnswer: 180*r - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*z + 95 = -38*z. Calculate the remainder when 34 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((1 - 1) + 4)\/(50 + -46). Let l be (-12 + 18)\/(3 + 0\/q). Determine i, given that 16\/17 + 70\/17*i**4 - 140\/17*i**l - 78\/17*i**3 + 24\/17*i = 0.\nAnswer: -1, -2\/7, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 673044720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 + -83.1. Let m = d + 2.6. Let k = m + -12. What is the closest to 0 in k, 1, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/613312 and -53\/8288.\nAnswer: 613312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/90*(10 - 1)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -12, -10, 1, -5\/2, 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -12, 3 in decreasing order.\nAnswer: 3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23349, 23620, 24359, 25800, 28177, 31724, 36675, 43264?\n\"Answer: 39*o**3 - 2*o + 23312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 5100.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**5\/60 - g**3\/3 + 3*g**2. Let a(o) = -o**3 - 8*o**2 + o + 8. Let q be a(-8). Suppose q = l + 4*l + 15. What is f(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73.001644 + 73. What is v rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -871 - -872.6. Sort -0.11, -1\/2, v in descending order.\nAnswer: v, -0.11, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.22973 microseconds in milliseconds?\nAnswer: 0.08722973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 take away 100360?\nAnswer: -100346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 16 - 37 + 3*o + 5*o**2 + 16. Let w(n) = n**3 + n**2 + n - 1. Let j(q) = -g(q) + 2*w(q). Let j(c) = 0. Calculate c.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13596 + -3970. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 46\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 34. Let x = 2154.5 + -2155. What is the fourth smallest value in -4, 0.3, t, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0899670761 to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 51560101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 616 + 614 = 0. Suppose w + 0*w = -4. Let n be (0 - (-2)\/w)*-2. Sort f, -1, n, 23 in increasing order.\nAnswer: -1, n, f, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 + 4*t - 48 - 2*t**3 + 50 + 4*t**4 - 2*t to z*t**3 + f*t**2 + a + l*t + v*t**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 take away 65.58?\nAnswer: -317.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2ffb31 (base 16) to base 14\nAnswer: -5bbd4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6205071624 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5286, 10569, 15852, 21135?\n\"Answer: 5283*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.78307 meters in millimeters?\nAnswer: 72783.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9862.6972 and -1.27?\nAnswer: 9863.9672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {h: 6, d: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70324, 70322, 70322, 70324, 70328?\nAnswer: 70334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4 = -16. Let i(g) = -g**2 - 8*g - 9. Let r be i(-6). Solve r*y + t + 14 = -2*h, 0 = -3*y + 2*h - 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.06 - -0.06. Let q = -0.3 + -0.7. What is the nearest to q in 0.3, s, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11536\/11 or -0.118?\nAnswer: 11536\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -9*y - 110. Give n(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen quarters of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 3*g - 5, 0 = 3*n - 4*g + 3*g + 15 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 145?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nii when three letters picked without replacement from {i: 2, n: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1498 + 1481. Let v(q) = 2*q + 24. What is v(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 0*k + 1\/12*k**4 + 0 + 3\/2*k**3 - 13*k**2. Differentiate o(f) wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 3094047727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -83.84 at most -7.522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0255 - 1345.\nAnswer: -1344.9745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + g - 40. Let c = 18 - g. Suppose -d - c = -3*d. Calculate the highest common divisor of 6 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 + 22*p + 26. Let o be q(-10). Solve -2*g = -5*z - o*g - 5, -5*g - 1 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 0 - -2 - (15\/(-5) + 6 - 321) and 336?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2139.4 times -16?\nAnswer: -34230.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392554 is divided by 196149.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -8927\/707 at least as big as -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5*-2*sqrt(2541) + sqrt(2541))\/(5*4*sqrt(3)*6))**2.\nAnswer: 102487\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**3 + 6*k**2 + 3*k - 40. Let y(u) = 2*u**3 - u**2 + u. Let o(n) = -2*y(n) + 2*z(n). Let o(j) = 0. Calculate j.\nAnswer: -5, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 141, -10, 0.2, 9, 3 in decreasing order.\nAnswer: 141, 9, 3, 0.4, 0.2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2701744022?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*c - 53 - 27 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, i: 2, h: 3, l: 2, z: 4, f: 1}. Give prob of picking 2 i and 2 h.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13b75 - -6a?\nAnswer: 13c01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*h**2*u**2*y**2 - 6*h**2*u*y**2 + 2*h*u**2 + 237*h*y + u*y**2 wrt h.\nAnswer: 86*u**2*y**2 - 12*u*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5454 and 12793266.\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 177*z. Let u(o) = 1483*o**2 + 9. Give u(v(k)).\nAnswer: 46460907*k**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**4\/24 + 10*f**2. Let h(j) be the first derivative of -13*j**3\/3 + j**2 - 2183. Give z(h(b)).\nAnswer: 13*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.14 + 0.16. Let c = -4.37092 + 4.671. Let d = m - c. What is d rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 6:21 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78.41 - 78. Let k = b - -0.09. Let t = 0.05 + 4.95. What is the closest to 2 in -0.2, t, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3612 and 349944?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 2:37 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 189, 5, -4, 38, -7 in descending order.\nAnswer: 189, 38, 5, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 4*n**2 + 2*n + 13. Let g be r(5). What is the smallest common multiple of 44\/33*(-3)\/g and (-24)\/(-20)*160\/12?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21163*8.218\nAnswer: -173917.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -8 + r + 8. Let z(d) = 4*d - 2. Let f(m) = 5*o(m) - z(m). What is f(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 13136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 7*x - 3. Let w be y(-6). Suppose w*m - 2*m = 15. Solve 3 = 3*s + m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -419, -542, -717, -962, -1295, -1734?\n\"Answer: -3*n**3 - 8*n**2 - 78*n - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqqdkqjq. What is prob of sequence dkq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**3 + 19*d**2 - 5*d - 14. Let c be b(6). What is the hundreds digit of (1 - 4)*1192\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-4))\/(5\/20). Let c = 2 + s. Suppose -a - 64 = -c*a. Calculate the greatest common divisor of 16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6908, 7609, 9502, 13181, 19240?\nAnswer: 28273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2*3\/6 - -136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36\/(-28) + 2\/7. Suppose -5*r + 23 - 3 = f, -2*f - 2*r = -8. Suppose f*w - w = 0. Which is smaller: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 + 3*u**2 + 99 - 270 - 38*u**3.\nAnswer: -38*u**3 + 5*u**2 - 171","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -428 divided by -68.\nAnswer: 107\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 1. Let p(k) be the third derivative of k**3 + 0 + 0*k + 3*k**2 + 1\/8*k**4. Calculate 4*o(w) + p(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 - 5)*(q + 2 - 2) - 10*q + 3*q - 5*q)*(-21 - 18 - 114 - 116 + 61).\nAnswer: 4160*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 5:25 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209657016 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.43\nAnswer: -0.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -369 + 368. Which is greater: v or -28.8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 2)\/((-4)\/28). Let x(y) = -y**2 - 8*y - 1. Let z be x(n). Suppose 9 = 3*d - z. Solve d*j = 5*r, 5*r = -2*j - j - 40 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 52 + -4?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 292, 656, 1166, 1822, 2624?\nAnswer: 3572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/9 (b) -3\/7 (c) 1 (d) 5 (e) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1664?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28063 and 35?\nAnswer: 140315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10185074 divided by -2?\nAnswer: -5092537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 44\/7 + 9\/((-189)\/6). Let q be 140\/(-7)*f\/(-15). Suppose -7*z = -q*z + 181. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-3)*r**(-5)*r*r\/r**2*r\/(r*r*r**(-4)*r) assuming r is positive.\nAnswer: r**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.887093505 - 0.8871. Round k to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137010, -137015, -137020, -137025, -137030?\nAnswer: -137035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7835.7 + -0.027276.\nAnswer: -7835.727276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i**5 - 2942188*i**4 + 7649630*i**3\/3 + 4903648*i**2\/3 - 4511339*i\/3 + 784580\/3 = 0. Calculate i.\nAnswer: -4\/5, 1\/3, 1, 196145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 13 - ((-171)\/9 + 21 - 46)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*m + 250 + 504 = 0, 4*h + 3*m - 1015 = 0. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -482169526 + 482169526 + u + 108*u**3.\nAnswer: 108*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36.8606348 + -0.1395502. Let f = -120 - -157. Let n = q + f. What is n rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3000) + -1*sqrt(3000)*-5)*-2)\/(-1*(sqrt(150) + sqrt(150)*1*-3)).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3014*z - 138809. What is f(46)?\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/245 and 139\/1050.\nAnswer: 7350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1470128606197 and -4.\nAnswer: 1470128606193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -197202 divided by 6\nAnswer: -32867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3137\/15 + -628\/3. Let f(r) = 7*r + 1. Let m be f(2). Let s = 8 - m. Which is the third biggest value? (a) 2 (b) s (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 21, 30, 39, 48?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-315)\/(-70)*32\/144 + -21.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/112 and 11\/406?\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-27)\/6 + 2)*32\/(-40). Sort k, 14, -2, -4.\nAnswer: -4, -2, k, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = k - 250. Let n = 1 + 2. Let a(b) = 3*b + 3. Calculate the remainder when k is divided by a(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -6, 620708?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80525747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -18, 55954, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 306539 and -903917.\nAnswer: -597378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -989*v + 62448 - 22888 = 0 for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wlkk when four letters picked without replacement from wwkwlwhwwlwwwwyyy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**9\/126 - l**5\/12 - 6*l**2. Find the third derivative of j(m) wrt m.\nAnswer: -480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 101904 and 9650.\nAnswer: 2547600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 - -55 - 23) + -20?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = b - 74. Suppose 69*q - 36*q - 1023 = 0. Let m = b + q. What are the prime factors of m?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139209.4657 - 139140.46569928. Let c = 69 - v. Round c to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - 1. Let x be ((-32)\/(-40))\/((-2)\/s). Suppose -2*q = -4*o + 22, -o + 0*q = x*q + 17. Calculate the lowest common multiple of 1 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 9. Let a(l) = -1 + 17*l**3 - 4*l**2 - 4*l - 19*l**3 - 2*l. Is a(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*r = -34*r - 5170. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1054 (base 11) to base 4.\nAnswer: -111232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q**2 + 8*q + 101. Let u(n) = -18*n**2 - 30*n - 405. Determine 4*u(r) + 15*v(r).\nAnswer: 3*r**2 - 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 304142 - 504142. Round f to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 752793.1g in milligrams?\nAnswer: 752793100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**3 - 155*h - 209.\nAnswer: 6*h**2 - 155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 6*b. Let r(y) = y**3 + y**2 + 7. Give r(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4619\/3 - 3035\/2. Calculate the common denominator of 11\/7 and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224520 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/1780643?\nAnswer: 1\/1780643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 + 4*m - 3. Suppose -3*c - 15 = -6*c. Suppose 9 = c*o - s, 0 = -o - 7*s + 3*s - 15. Let p be u(o). What is the nearest to 0.2 in 3\/7, p, 1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 5*d**4\/24 - 213*d**2 - 3*d. Let c(u) = -20*u**2. What is h(c(j))?\nAnswer: -100*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -13\/6*x**4 - 1 - 1\/10*x**5 - 14*x + 13*x**2 + 1\/3*x**3. Factor l(n).\nAnswer: -2*(n - 1)*(n + 1)*(n + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - ((-6 - (-32 - -12)) + 8)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3 - -4.2. Let l = 222 - 222.9. Let n = p + l. Which is the second smallest value? (a) -5 (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a year?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 5*l + 40, -3*l - 15 = -3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 214387, 214422, 214457?\n\"Answer: 35*v + 214352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 262*t - 267*t - 1310. Let l = 220 - t. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22011 - 1000?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from ucxuuxvvuvrvx.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c**(2\/25)\/c*c)*c**37*c**(-23)\/c*c\/c**15 assuming c is positive.\nAnswer: c**(23\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168 by 6.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 8 - 8)*(i + 0*i - 3*i)*(-73 - 126 - 146).\nAnswer: -6900*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5587*u**2 - 8003*u - 243591295 wrt u?\nAnswer: -11174*u - 8003","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 139970 + -35512.\nAnswer: 104458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 8*f**2 - f + 12. Let n be j(6). Is 6 a factor of (n + 0)\/((-3 - -7) + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*o = 6*o + 2370. Solve o = -13*q + 7*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31544 divided by 4\nAnswer: 7886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6819548 litres to millilitres.\nAnswer: 681.9548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-92)\/(-32)*4*((-112)\/(-21))\/(-8)\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1535778514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -115, -202, -273, -322, -343, -330?\n\"Answer: v**3 + 2*v**2 - 100*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24 (b) 14 (c) 0.1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3254*j**5 + 16*j**3 + 7*j + 217. Let u(n) = -4*n**3 - n + 1. Let y(p) = 4*u(p) + v(p). What is the second derivative of y(w) wrt w?\nAnswer: -65080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aahghhphgaababppa. Give prob of picking 1 g, 1 b, 1 h, and 1 p.\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 + -16. Suppose 5*q - 6 = -w. What is the units digit of 3\/q*8 + 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/77*4564\/32*4. Let q = y + -89. What is the nearest to -0.029 in 0, -1, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + 4*l**2 + 3*l**3)*(526 - 260 - 266 + 13*l) + 4*l + l**4 - 4*l.\nAnswer: 40*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/18*((-254)\/16 - 2) and -40\/7?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhzhzhhhzh. Give prob of picking 1 z and 1 h.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4, -137*i + 133*i + 3*z + 2190 = 0. What is the remainder when i is divided by 270?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 320 = i - 307, 3*y - 21 = 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15246 and 484.\nAnswer: 30492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 1 - -4*(-2)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l**0)))**(1\/38)*l\/(((l**(1\/28)\/l)\/l)\/l)*l*l**(-6)*l assuming l is positive.\nAnswer: l**(-5\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32593 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-87) - (-32 - (-105823)\/3335). Find b, given that -7*b - h*b**2 + 0 = 0.\nAnswer: -35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tsgggtt. What is prob of picking 1 t, 1 s, and 2 g?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 3570*x**2 + 232848*x.\nAnswer: -2*x*(x - 1848)*(x + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629896 is divided by 8277?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 19*u**2 - 78*u - 732. Let m be j(-17). Solve 0 = -m*n - 20*n - 288 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 46151.01g?\nAnswer: 0.04615101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 10:03 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 472500158 and 596?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 3*b**3 + 24 + 23.\nAnswer: -3*b**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*d)*(0 + 4 - 5)*(4 + 3 - 3 - 3 + 1 + 1 + (6 - 4 + 0)*(1 - 1 + 2) - 2 + 2 - 2).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48004 * -19.\nAnswer: 912076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1140865705*a**3 - 2*a**2 + 28086*a - 1106 wrt a.\nAnswer: -6845194230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**2 + 800 + 201*c - 6*c + 322 + 188 + 300 = 0. Calculate c.\nAnswer: -7, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 10 = -4*w. Let v be 2 + (2 - (2 + 2)). Suppose v = 4*i + 5*l - 38, 4*i - l - 50 = -0*l. Solve 5*s - 3*d - i = 0, 0 = -s + 3*d + w*d + 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 10*u**2 + 10*u - 25. Is y(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 + q - 1. Let s(c) be the second derivative of c**3\/6 + 5*c**2 + c. Let x be s(-12). What is o(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*w + w. Let u be (-3)\/18 - (1 + w). What is the second biggest value in u, -1, 2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 9*y**2 - 3*y - 1. Let x be (-8)\/(-3)*(-2 - (-7)\/2). Let c(r) = 8*r**2 - 2*r - 1. Calculate x*c(k) - 3*v(k).\nAnswer: 5*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -19845*w - 218281. Calculate p(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -8, 3942, 0 in decreasing order.\nAnswer: 3942, 22, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 20 = 20. Let h = 8 + -5. Suppose 39 + 57 = a*x + h*j, -89 = -3*x + 2*j. Calculate the highest common divisor of x and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z - 17. Let m(b) = 3*b + 17. What is -4*k(h) - 3*m(h)?\nAnswer: -h + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2347*b - 75082. Give u(-32).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-14)\/v)\/v**(3\/14)*v**(7\/5)\/v**(-2) assuming v is positive.\nAnswer: v**(-827\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = -2*s + 3*s. Let n be -2 + (-2)\/3*-3. Suppose n*a = a - 2. Sort a, -2, s.\nAnswer: -2, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**3 + 4*w**3 + 10 - 10 + 5*w as p*w**2 + g*w + o*w**3 + m and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**2*w**3 - 29*h**2*w + 1801*h*w**3 - w**3 - 2*w**2 - 84*w wrt w.\nAnswer: -6*h**2 + 10806*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -2220673 in descending order.\nAnswer: 3, -3, -2220673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/26 + 191\/130. Is 1 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1212 (base 3) to base 8.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k**2 - 18*k + 38. Let g(c) = 2*c**2 + 3*c + 1. Let j(p) = 2*g(p) - w(p). Let j(v) = 0. What is v?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = i + 9 - 24, -s + 4*i = -16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 - -0.3. Let y = o - 0.9. Suppose -m + 7 = 3*x, x - 5 = 2*x + 4*m. Sort x, -1\/2, y in ascending order.\nAnswer: -1\/2, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 2*o**2 + o - 17. Determine q(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 9:10 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*d**2*k**3 + 4*d**2*k + 72*d*k**2 - 76*k**4 wrt k?\nAnswer: -120*d**2 - 1824*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3726621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 6. Let i(j) = -j**2 - 3*j. What is the units digit of i(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -1 (b) -2\/11 (c) 3 (d) -420 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8981, -18025, -27075, -36131, -45193?\n\"Answer: -3*o**2 - 9035*o + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8710, -17464, -26216, -34966, -43714, -52460, -61204?\nAnswer: -69946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -331 - 10?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2277 and 1773?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*(sqrt(504) - 2*sqrt(504)*-4 - sqrt(504)))\/(sqrt(512) - sqrt(80)\/(sqrt(10) + sqrt(360))))**2.\nAnswer: 7112448\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 574, -3, 0.26, 0.3?\nAnswer: 574","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7009 and 5805.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + 2. Let w = 13 + f. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 6*v**2 - 7*v - 3. Let j be m(7). Let o(y) = -3*y + 1. Let i = -26 - -21. Let a(k) = -2*k + 1. Let z(g) = i*a(g) + 3*o(g). Determine z(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -418\/455 + 4\/65. Is 0.6 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -3*m - 4*j, m - j - 38 = -2*m. Let h = 126 + 56. Suppose 0*g = 2*g - h. Calculate the greatest common factor of g and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/387 and 85\/1419.\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 6 - (6 - 3). Let t(v) = -3*v + 1. What is t(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 924 - 910.09. Let m = -14 + v. Let r = 0.08 + m. What is the second smallest value in 5, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 9*s**2 + 8*s + 9. Determine k(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 3696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7325699 or 7325700?\nAnswer: 7325699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 189 or -30251?\nAnswer: -30251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(242)*-4 + -5 + (sqrt(242) + (sqrt(242)*1 + 3 - sqrt(242)) - (1*sqrt(242) + -3)))**2.\nAnswer: 264*sqrt(2) + 34849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19989, 40235, 60711, 81417, 102353, 123519, 144915?\nAnswer: 166541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02413803 to three dps.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2366*p. Let t(c) = 45*c. Give t(r(q)).\nAnswer: -106470*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2 - w**2 + 3 + 3 + 243*w - 244*w. Suppose 3*r + 4 = -4*h, 2*r - 3*h = -2*h + 1. Is g(r) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15, -114, -419, -1032, -2055, -3590?\n\"Answer: -17*d**3 - d**2 + 23*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**3 + 29*v**2 - 9*v + 19. Calculate a(-15).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 272*k**2 + 207*k**2 + 2222*k**5 - 211*k**6 - 2221*k**5 wrt k.\nAnswer: -25320*k**3 + 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -71, -142, -213, -284, -355, -426?\n\"Answer: -71*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -2 (c) 2 (d) -2\/473 (e) 141\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 2:06 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Let m be -4 - b\/(-2)*-4. Let n(h) = h**2 + 6*h + 1. Give n(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + -41. Let c = 200 - 199. Sort -5, 5, c, t.\nAnswer: t, -5, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, -0.605, -1\/5, 11.8?\nAnswer: -0.605","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-60))\/((-24)\/36*(-9)\/(-20)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 5*u + m, 2*u + 4*m - 22 = 5*u. Let o be 2*1 - (-7 - u). Let p be (o - 2)\/(1\/200). Round p to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 46*r - 420. Let v be f(9). Suppose 5*y + 5*o = 1285, 0 = -3*y + o - 455 + 1214. Is 9 a factor of (y\/2)\/((-6)\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/29)*c**2*c**8*c*c*c*c**5)**(-2\/11) assuming c is positive.\nAnswer: c**(-1040\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 696 (b) 0 (c) 4 (d) -19 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 18 + 27 = 0. Suppose -2*q + 5*q = -x. Is -8 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -114*v**3 + 2*v**2 - 4*v - 9. Let f be t(-4). Let y = f + -3692. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**6\/120 - g**5\/10 - g**4\/4 + g**3\/6 - 2*g**2. Let y be z(7). Calculate the greatest common divisor of 32 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 13*t**2 - 24*t + 45. Let y(i) = 3*i**2 - 6*i + 11. Let v(k) = -2*r(k) + 9*y(k). Factor v(u).\nAnswer: (u - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 20*o**2 + 84*o + 24. What is f(23)?\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 9604 = 3332. Calculate the greatest common factor of 1029 and t.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from wrkbkbbkbw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from {s: 3, o: 5, f: 1, h: 5, v: 4}?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -213 (base 4) to base 12\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 773*n + 663*n = 128*n + 222*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -727\/47 at most -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 14*w**2 + 5. Give o(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 40. Let x be 6 - b - -1*9. Factor 2 + 16*a**2 + 4*a - x*a**2 - 4*a**2 + 0*a.\nAnswer: 2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2147 divided by 19?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 divided by 193?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 54 = -12. Let z be (-39)\/5 + u\/(-35). Let a be 30\/27 + z\/72. Let l(b) = -10*b**2 + 2*b - 1. What is l(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 19350680?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.046, -4, -11.4?\nAnswer: -11.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -458 = -4*r + 50. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54.6012 + -0.0988. Round x to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4194*h**2 + 1648*h - 10. Let y(l) = -4196*l**2 - 1648*l + 15. Let v(k) = -2*y(k) - 3*z(k). Find the second derivative of v(c) wrt c.\nAnswer: -8380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a minute?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/56 and -61\/84936?\nAnswer: 594552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o - 6. Let n(m) = -11*m - 5. Let u(b) = 14*b + 6. Let v(i) = -5*n(i) - 4*u(i). Let f(q) = 4*q - 3. Let z be f(-2). Calculate z*v(c) - 2*y(c).\nAnswer: 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -388 - -2?\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 388004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 11. Let m = 2 - y. What are the prime factors of 1395\/81 + m\/18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*j = -104*j - 24 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 75?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -82000 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 4 - -7 - (-1 + 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**3 - 3*b**2 - b - 1. Let d be 5 + -17 + 3 + 8\/1. Give q(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 6*i + 25 = 0. Solve 13 = -3*n - i*l, 5 - 4 = 3*n - 2*l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333*o + 370*o - 1289 + 1289 - 748*o.\nAnswer: -45*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 8. Suppose 1747 - 367 = -15*c. Let b = -94 - c. Sort 3, b, l, -4.\nAnswer: -4, b, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*(sqrt(48)*2 + (1*sqrt(3) - sqrt(3))*6).\nAnswer: 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 764*m**5 + 668*m**2?\nAnswer: 45840*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 - 27 = -5*d. Suppose -5*k + 8 = -d. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -51?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -173 + 177. Suppose -o + 1800 = -2*w - 0*w, 0 = -5*o - f*w + 8930. Round o to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -2\/7 (c) -354\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u**3 + 2*u**2 + u + 4. Suppose 5*m + 2 = -13. Is l(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1463.7 + 1464. Which is the third biggest value? (a) 1 (b) 2.1 (c) -1 (d) -4\/7 (e) f\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/(y\/(y*y**(-9\/2)))*y\/(y**(-4\/5)\/y))**11 assuming y is positive.\nAnswer: y**(143\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 82 = 3*q, 5*i = -2 + 7. Let v = q - 11. What is the remainder when v is divided by ((-208)\/32)\/((-1)\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -7 (c) -11428\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/850?\nAnswer: 3\/850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6\/23 (b) -2\/9 (c) -0.3 (d) -2\/29 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1))**12*g\/g**1*g*(g*g*(g**(-1\/7)\/g)\/g)\/g assuming g is positive.\nAnswer: g**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 181184 = 4*o, o + 18*i = 20*i + 45285. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 k when four letters picked without replacement from {f: 4, q: 1, g: 12, k: 2}.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 1. Suppose 0 = -2*a - 3*j + 38, j = -f*a + 43 + 13. Calculate the greatest common factor of a and 130.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 9*p**2 - p - 9. Give z(8).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60891?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = -2*l + 67 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316738 is divided by 105539.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2165*c**5*d**2 - c**3*d**2 + c**2 + 685042*d**2 wrt c?\nAnswer: -129900*c**2*d**2 - 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 0*h**3 + 0 - 7\/24*h**4 + 0*h + 13*h**2. Let b(a) = 5*a**2. Determine b(y(t)).\nAnswer: 245*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmoomo. What is prob of sequence omm?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 6951 = 7*d, -v + 48 = d - 953. Calculate the lowest common multiple of 1278 and d.\nAnswer: 8946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -146 - -148. Solve -v*t = 3*n + n - 18, 0 = 5*n - t - 19 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000092095058 to seven dps.\nAnswer: 0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -9668 (b) 27404 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6301249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.356*-120.794\nAnswer: 43.002664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -866, -3498, -7976, -14372, -22758, -33206?\nAnswer: -45788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -559 and 196.\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2115342 is divided by 1695.\nAnswer: 1677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/5 - 318389920*v + 31678794111752000.\nAnswer: 4*(v - 198993700)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2500\/(-40))\/(3\/(-42))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2156\/13 + 166. Let r = -11 + 16. Suppose -r*y - 17 = -7. Which is the second smallest value? (a) y (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p**2*q + 17*p**2*y - p*q*y - 2*p*q + 12*y wrt p.\nAnswer: -6*q + 34*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 603836328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76688, 76740, 76884, 77168, 77640, 78348?\nAnswer: 79340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2236 is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.3 and -12.8.\nAnswer: -29.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + 0)**2*-2*3 + ((sqrt(847) - (1 + sqrt(847)))*4)**2*-4)*-1.\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(5) + sqrt(20)*2 - sqrt(5)))*6)**2 + -2 - (-2 + sqrt(25)\/sqrt(125)*4*3).\nAnswer: -7212*sqrt(5)\/5 + 3780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 - (-125 + 52 - (-17 + (-6 - -10))).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2 - 0)*(-17)\/(170\/(-64365))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24744997 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -1\/2 (c) 2\/17 (d) 133\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11188 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*z - 252 = -0*z, -5*n - 1216 = -2*z. Let y = -211 - n. What is the lowest common multiple of 12 and y?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13340202*h**3 - 212*h**2 - 4*h + 919.\nAnswer: -80041212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 19*a - 17*a + 5*p, -a - 1 = -p. Suppose 639 = 5*z + 3*m - 101, 5*z + a*m - 740 = 0. What are the prime factors of z?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7564236ns to microseconds.\nAnswer: 0.0007564236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -76, -208, -400?\nAnswer: -652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o**2 + o - 1. Let a be z(1). What is the fourth smallest value in 8.2, a, 0.2, 0.1?\nAnswer: 8.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*f - 515, -4*f + 488 = -4*u - 0*u. Let a = u + 288. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*i = -405, 0*i + 3*i + 75 = t. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -6, -19 = 900*a - 899*a - 5*f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -6 - 1\/3*j**3 - 11\/2*j**2 - j. Is x(-7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cff when three letters picked without replacement from ccfcccf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21571 (base 8) to base 10.\nAnswer: -9081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 2 = 3*o. Let l be ((1860\/8)\/155)\/((-27)\/4). Let h = -12.7 + -3.3. What is the closest to -1 in l, o, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2265*l**3 + 2723*l**3 - 16052*l**3.\nAnswer: -15594*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xoxoxx. What is prob of picking 1 x and 2 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/16 (b) 45 (c) -1\/12 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 11:32 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -516 + 521. Let t(r) = -r - 1. Let k be t(-7). Solve v*p = -1 + k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 924\/(1*5707\/(-572) + 10). Calculate the highest common divisor of 242 and z.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 87, -5, 1\/6, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 3. Give h(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 711858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 12:02 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -45360 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2)*(-2*i + 8*i + 0*i) to the form b*i + g and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 - -34. Let n(c) = c**2 + c + 3. Let u be n(s). Suppose u*q = -3*q + 3684. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(6\/7))**30\/(o**(2\/5)*o*(o**(-2\/27)\/o)\/o*o))**5 assuming o is positive.\nAnswer: o**(23992\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(-28\/9)\/(t**3\/(t\/t**(3\/5)*t))*(t**(3\/2)*t*t**(-1\/4))\/(t*t**(-1\/5)*t*(t*t**(-1\/3))\/t) assuming t is positive.\nAnswer: t**(-707\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/(297\/(-36) - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(2 + 12 - t + 3).\nAnswer: -t + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 3*g**5\/20 + 1001*g**3\/6 - 2345*g**2 + 2379*g. Differentiate q(i) with respect to i.\nAnswer: 9*i**2 + 1001","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/1691357 at most as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -948 = 96*k - 17*k for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -54, 21, 4, -8, -2 in descending order.\nAnswer: 21, 4, 2, -2, -8, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 7:21 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 1964 = -14088. Let w = -395 + h. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l - 46*l + 115 = 0. Let q be 0 + 0 + 0\/(-3). Put q, l, 2 in decreasing order.\nAnswer: l, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1669*c**2 + 3*c**3 + 1669*c**2 - c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295296.\nAnswer: 2, 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**3\/6 - 4*m - 4. Let r(c) be the first derivative of d(c). Let h(f) = 14*f**2. What is r(h(n))?\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 26*k**2 - k. Let r be s(1). Let o = r - -218. Suppose -2*v + 192 = y, 5*y + o = 2*v + 1251. What is the greatest common factor of 20 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5075 is divided by 1691?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3092*m**3 + 23*m**2 + 6*m - 11. Let a(y) = -1016*y**3 + 8*y**2 + 2*y - 4. Give -17*a(l) + 6*o(l).\nAnswer: -1280*l**3 + 2*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 1. Let h be m(3). Let b(v) = 5*v - 1 - 5*v + 2*v + 0*v. What is the remainder when 4 is divided by b(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4317, -4200, -3963, -3546, -2889, -1932, -615?\nAnswer: 1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**5 - 348*k**4 + 6136*k**3 + 68280*k**2 - 153596*k + 79524 = 0. What is k?\nAnswer: -9, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 11. Let p(v) = -v**2 - 3*v + 1. Let f be p(-2). Suppose -s + 2 = 2*x, -3*s + f*x = -s - 11. Solve b - 2*n - n = -8, -5*b + s*n + 4 = w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*c - 21 = 37*c - 3*b, -2*c - 3 = -3*b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 1:34 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 20, -3*m = -5*m + l + 71. Is -2*3\/((-9)\/m) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pozfwop. Give prob of picking 1 f, 1 o, and 1 w.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by 48.\nAnswer: 17\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - (14 + (17 - 56 - -6 - -3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-8 - -14 - 6) - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 251265.\nAnswer: 1005060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.123 - -0.123. Suppose 18 = 2*v + 2*j, 0 = -0*v + v - 3*j + 11. Let i be (-36)\/21 + (-4)\/(-2). What is the nearest to 0.1 in x, i, v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 4*c + 3. Let z be (-4)\/(-2)*-10*-1. Let i be 56\/z + 1\/5. Suppose i*x = 2*x + 3. Give w(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 1. Let t(j) = 6*j**2 - 6*j + 4. Let p(r) = -t(r) + 6*w(r). Let b = 2 - 2. Let d = b + 1. Let o(u) = -u**2. Determine d*p(c) - 4*o(c).\nAnswer: -2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 1)\/((-3)\/((-9)\/(-6))). Which is bigger: -6\/31 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -77\/5. What is the closest to -0.1 in f, 1, -38\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52600 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2706*j + 5222. Let q(n) = -n - 188. Let i(f) = 5*q(f) - z(f). Find the first derivative of i(w) wrt w.\nAnswer: 2701","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 150 + -147. Let g = -43 + 48. Suppose 2*q - 233 = -3*h, -v*h = -g*q - h + 554. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(2\/7)*g))**38\/((g\/(g\/g**(-4)))\/g)**(-10) assuming g is positive.\nAnswer: g**(-692\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a (base 16) to base 7.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16 + -15 + -6 - 3*(-222)\/126. Let b = -0.16 + 0.09. What is the closest to -2\/7 in 0.3, n, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 297287423*q**3 + 46667516*q**2?\nAnswer: 1783724538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/3 (b) -2\/7 (c) -84 (d) -2\/1683\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p + 8 = a, -2*a - 2*p = -16. Let z = a + -5. Let c(g) = -3*g - 5*g + z*g + 4*g. Determine c(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.29 + 1.79. Which is the nearest to -2\/3? (a) v (b) -3\/2 (c) 69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 548 and 136726?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 3*a + 44. Calculate b(0).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 29.\nAnswer: 8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6 - 160\/24. Let g = -7 - m. Solve 0*q - q = g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2072*n + 2146*n - 4025*n in the form p*n + d and give p.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 u, and 2 y when four letters picked without replacement from {y: 4, r: 2, u: 6}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 7*j**2 - 11*j + 3. Let d be g(3). What is the greatest common factor of d and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from eeleleleeeeeleeleeee?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 200\/45 + -4 - (-16330)\/(-13455)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821219 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -518 - -1293. What is the greatest common divisor of 50 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1207, -1200, -1189, -1174, -1155, -1132, -1105?\n\"Answer: 2*q**2 + q - 1210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 0.06, 13\/4, -7403?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -190, -640, -1356, -2338, -3586, -5100, -6880?\n\"Answer: -133*u**2 - 51*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.155 + 9.055. Let h = -11.9 + z. Put 1, h, 9\/5 in increasing order.\nAnswer: h, 1, 9\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003209783 rounded to 7 dps?\nAnswer: 0.0000321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -286, 238, 1568, 3704, 6646, 10394, 14948?\nAnswer: 20308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6392)\/(-272) - (-4)\/(-32)*-4\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -12*r**3 + 10*r**2 - 7*r - 164. Let v(q) = -q**3 - 2*q - 13. Let g(p) = -c(p) + 13*v(p). Give g(-9).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 908326389 to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5 + (sqrt(6)\/sqrt(3))**2 + 5)*-6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/36)\/(2\/4). Let q = -15094 - -45283\/3. What is the fourth biggest value in u, -2, 4, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-171)\/(-297))\/19*1*18?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 118790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9743184\/57 + 89\/(-1691) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-143)\/3)\/((-2)\/18) - 3.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1546448.\nAnswer: 2, 19, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 331868997 less than or equal to 331868998?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4b80 - -2?\nAnswer: -4b7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3 + 6*b - 8*b + 11*b. What is the tens digit of y(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0.4. Which is the nearest to 0? (a) -1 (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, n: 2, o: 2, v: 6}. What is prob of sequence nn?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdffpzzppppfd. What is prob of picking 1 f and 2 d?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 756 + 168 = 0. Suppose 7*p - 11*p + d = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, j: 2, b: 6}. Give prob of sequence bs.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + g. Let k(s) = -4*s**2 - s - 2. Let w(t) = -a(t) + k(t). Calculate w(-3).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**5 - 3*j**3 - 2*j**2. Let l(t) = 5*t**5 + 7*t**3 + 5*t**2. Let z(r) = 14*c(r) + 6*l(r). What is the third derivative of z(b) wrt b?\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 7*u**2 - 13*u + 1. Let g be r(-5). Solve -3*m = 2*y + 12, -2*m + g = -6*m + 3*y for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(114)*-1 + sqrt(114) - sqrt(114) - 1*(sqrt(114) + (sqrt(114) + sqrt(114)*-2 - sqrt(114))))\/(sqrt(72)\/(sqrt(1728)*-1)).\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3570 and 20553.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86710 and 3495908?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -140 - -145. Suppose 0*s = -z*s + 4050. Round s to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4646 is divided by 102.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 11*r**2 - 33*r + 47. Calculate n(13).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -745*o + 1. Let v(b) = 3726*b - 5. What is -11*m(f) - 2*v(f)?\nAnswer: 743*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -169255*(-13)\/65*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x + 2*x)*((4*x**3 - x**3 - x**3)*(-2*x + 2*x - x) + (7*x - 7*x + 5*x**3)*(-4*x + 2*x + x)).\nAnswer: -14*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 3179\/12938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.516 * 484.99.\nAnswer: 250.25484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aippvaimaizpppm. What is prob of sequence mv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 2*q + 3. Let z be w(2). What is the remainder when -1 + z + (-1 - -19) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 13*v + 368. Let k be s(46). Calculate the greatest common factor of k and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 9:26 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 6 = -f, -2 = 3*f - 24*u + 20*u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 1\/20*d**5 + 5*d**2 - 212*d - 5\/6*d**4 + 0 - 1\/6*d**3. Factor c(r).\nAnswer: (r - 10)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-29.8\nAnswer: 8.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i**3*q - 217222*i**3 + 3397*i**2*q + 2217*i*q - 2*q + 8 wrt q.\nAnswer: i**3 + 3397*i**2 + 2217*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**29\/o)\/o*o*o\/(o**8*o*o) assuming o is positive.\nAnswer: o**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {v: 15, d: 5}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113257 - 56776 - 56468 + 2*d.\nAnswer: 2*d + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*c - 508 = 0, -2*i + 4*i + 5*c = -220. Let o be ((-315)\/25)\/(2\/i). Suppose -32*d = -41*d + o. What is the remainder when d is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f - 9. Let o(w) = -4*w + 16. Let c(i) = 4*o(i) + 7*y(i). Let d(j) = -3*j + 2. Calculate 5*c(x) - 4*d(x).\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6075 + 6079. Solve -o + 16*l - 15*l = 4, 0 = f*o + 2*l + 22 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 837, 22, -5 in descending order.\nAnswer: 837, 22, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in six fifths of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 6*y**2 + 10*y - 1. Calculate the remainder when o(4) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 0*d**2 + 0 + 2\/3*d**3 - 1\/4*d**4 + 2*d. What is the second derivative of b(r) wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18319, 18959, 19605, 20251, 20891, 21519, 22129?\nAnswer: 22715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 854*o - 11412 = 43048 - 7490 for o.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14368.7 and 8.\nAnswer: 114949.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1903?\nAnswer: 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8207?\nAnswer: 29, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2634 - 2944 + 1219)*(3*d - 2*d + 5*d).\nAnswer: -26154*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39689, -79137, -118585?\nAnswer: -158033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59768 + 55653 + 15560 + 2*c + 986.\nAnswer: 2*c + 131967","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3704 - 3707. Let u = 3.4 - -0.6. Which is the nearest to -1\/2? (a) s (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*c*f - 934*c + f**2 + 3*f - 58 wrt f.\nAnswer: 40*c + 2*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 - 2 - -20.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.607 + 0.041. Let i = 0.148 - x. Which is the nearest to i? (a) 4 (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -0*o + 3*x + 7, 5*x + 30 = -2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -3*h + 24, -4*h + 3*y + 0 + 28 = 0. Suppose 0 = 4*m, 3*j - h*m = -m + 9. Let i(c) = 6*c**2 - c + 4. Is i(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -5*m + 3, -2*s + 6*m = 2*m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 + 4*q + 7. Let l(c) = 2*c**2 + 4*c + 7. Let y(f) = -4*l(f) + 3*o(f). Let z(u) = 4*u**2 + 7*u + 13. What is -11*y(b) - 6*z(b)?\nAnswer: -2*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -400 divided by 25\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5 = -23. Let k(a) = 2*a - 6. Let n be k(11). Let f = b + n. Solve -f + 2 = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3657 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.219 and -12.5.\nAnswer: -12.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 5*m - 36, -3*r - 15*m + 24 = -16*m for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9644.\nAnswer: 2, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**3 + 14952936*t**2 + 13974393438756*t = 0 for t.\nAnswer: -1869117, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01842643 rounded to 4 decimal places?\nAnswer: 0.0184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/3)\/w)\/w)\/(w*w**(-7\/3)\/w*w))\/((w**(-1\/13)*w*w)\/w*w\/(w**(-11\/3)\/w)) assuming w is positive.\nAnswer: w**(-90\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1360, 2720, 4076, 5428, 6776, 8120?\n\"Answer: -2*f**2 + 1366*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j + 7. Let a(c) = -2*c**3 + 8*c**2 - 8*c + 94. Let q be a(5). Let m(w) = -3*w - 8. Calculate q*m(t) + 5*f(t).\nAnswer: -2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00094127753 rounded to seven dps?\nAnswer: 0.0009413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((26 + -5 + -1)*1)\/(-90 + 91).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67563310 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 365021825?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t - 10. Let x(c) = -c**2 - c + 8. Let z be 4 + 65\/(-20) + (-6)\/8. Let w be x(z). Calculate h(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1)\/y)**(-6\/23)*(y*(y**(-1\/3)\/y*y)\/y*y)\/(((y\/(y\/y**(-6)))\/y)\/y))**(-31))**(-1\/7) assuming y is positive.\nAnswer: y**(19654\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 4:25 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*b**3*i*j*l + 5*b**3*i*l**2 + 2*b**3*i*l - 4*b**2*i*l + 5641*b*i*j*l**2 + 10*b*i wrt l.\nAnswer: 10*b**3*i + 11282*b*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven halves of a litre in millilitres?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-6))\/(24\/(-4104)). Is q < 59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*z - 362*z = -5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r + 4. Let k be n(-14). Let j = -43 + k. Suppose -215 + j = 2*d. Round d to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/27, 3, -21.\nAnswer: -21, 5\/27, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l. Let b be p(2). Suppose b*v = 5*v + 2. Which is smaller: 2\/51 or v?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.7 - 16. Let n = 0.56 - 5.56. What is the second smallest value in 1, y, 0.2, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 6 - -19 - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/18*6\/(-10) + 1600\/(-24000)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 4*l, l + 7 = m + 2*m. Let a(w) = -w**2 - 6*w + 9. Let c be a(-7). Suppose c*z = -3*z - t + 20, m = -z + t. Solve 0 = -5*k + 2 + z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 566 = 8*t + 13*t + 692 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w**(5\/2)\/w)\/w)\/(w\/(w*w**38*w)))\/(w**(-24)*w*w**(-38)\/w*w) assuming w is positive.\nAnswer: w**(203\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -15. What is the smallest value in -2, 1\/5, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-8) + (-48292)\/(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 - -80. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165845.\nAnswer: 5, 41, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-10) - -1 - (7 - 1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1300*r - 3 + 2*r**3 + r**2 + 1300*r to b*r**2 + y + q*r + d*r**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.0101614 to the nearest integer.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -37. Let c(i) = -11*i + 57. Let x be c(8). Which is smaller: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1022 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 + 4 + 7 + 3 + -36.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17a735 (base 14) to base 6\nAnswer: 25524255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*x)*(-20 + 12 - 8 + (-3 + 3 + 1)*(4 - 1 - 4) + 2 + 0 - 1) as c + q*x and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 x when four letters picked without replacement from jjjjjjjjjjjjxjj?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 7:01 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/26 + 205\/1599. What is the second biggest value in 0.5, 3, -1\/28, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 8*i - 77 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-1 - 0) + 4176\/4168). Let j = o - 50. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/7, 95, 0.3, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -3, -5, 4 in descending order.\nAnswer: 30, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 604981.41237107 + -604929.289. Let r = -0.12445507 + l. Let s = 52 - r. What is s rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 376 = 12*r. What is the remainder when r is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d + 21100 = 21220 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7185887 to 2 dps.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**4 + 4*j**3 = 0. Calculate j.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-4)*10\/5. Suppose -2*g = -y - 19. Calculate the greatest common factor of g and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -2, -1\/14, 4?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**32*w*w*w*w*w\/w**(-2)*w*w)\/(w**(-24))**(-27) assuming w is positive.\nAnswer: w**(-606)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 57026*b. Let p(j) = -4*j. Calculate p(x(i)).\nAnswer: -228104*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1825\/9 + -203. Which is the closest to f? (a) -3 (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l**3 + 5*l**2. Let h(y) be the third derivative of -1\/60*y**5 + 1\/120*y**6 + 0 + 0*y**3 + 7*y**2 + 0*y + 0*y**4. Calculate 6*h(r) + x(r).\nAnswer: r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**4 - 2. Let b(q) = 448*q**4 + 82*q + 4. Let c(r) = -2*a(r) - b(r). What is the second derivative of c(y) wrt y?\nAnswer: -5400*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34 and 3.6069?\nAnswer: -122.6346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 - 37*m + 49. What are the prime factors of x(-21)?\nAnswer: 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20902 and 11944?\nAnswer: 83608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22006932*l**4 - 7*l**2 + 829785244 wrt l.\nAnswer: -88027728*l**3 - 14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -463*f**3*w**2 + 2*f**3*w*x + 18*f**2*w**2 - f*w*x + 26*w**2 wrt f.\nAnswer: -2778*w**2 + 12*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -13*h**2 - h - 61. Let f(n) = -2*n**2 - 1. Let k(d) = -3*d - 120. Let w be k(-38). Let v(l) = w*f(l) + m(l). Calculate v(0).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 61, 2, 354.\nAnswer: -3, 2, 4, 61, 354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 12. Suppose 22 = 3*q + 5*c - 1, -5*c = -n*q - 17. Solve 6*w**3 - 8*w**4 - 3*w**5 - 2 - 3*w - q + 5*w**4 + 6*w**2 = 0 for w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**3 - 61174 + 122356 - 61182.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-7 + -18 + 2 - -19).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*k**2 + 4*k**2 + 8*k**2 + (3*k**2 - k**2 + 0*k**2)*(-2 - 1 + 1).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 = -5. Let z(w) = -w**2 - 1 + 5*w - 7*w + 17*w. What is the tens digit of z(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 0.1, -701, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulwwraw. Give prob of sequence wr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -83 or -97?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117469, -234939, -352411, -469891, -587385, -704899?\nAnswer: -822439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/((-2400)\/560)*(-12)\/(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1396058 times 0.19\nAnswer: -265251.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -638\/3 - -133. Let q = k + 80. Let i = -0.3 + 0.38. Which is the nearest to i? (a) q (b) -2\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -1.03\nAnswer: -0.309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.838 to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2 + 6546*r - 349747 = 0. What is r?\nAnswer: -6599, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -330024 or -330262?\nAnswer: -330262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*6*sqrt(192))\/sqrt(8))\/(1*(sqrt(392)*4 + sqrt(392))).\nAnswer: -24*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 15 + 19 = 0. What is the closest to -1\/2 in u, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 6381 - 6285 = 0. Which is the biggest value? (a) -0.2 (b) d (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u + 25*u + 16 = 5*b, 2*b - 4 = u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.9 + -0.9. Suppose -2*i + 2*s + 18 = 0, 3*i = 6*i - s - 17. Let d be (i\/28)\/(2\/(-4)). What is the third smallest value in d, z, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 8, -3*h - 2*h - 32 = -4*o. Let w(f) = -f**3 - 9*f**2 - 6*f + 18. Let v be w(-8). Solve 11 = -5*k + 3*m, -v*m + 23 = -5*k - o*m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 111877, 111938, 112041, 112186?\n\"Answer: 21*k**2 - 2*k + 111858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**3 + 13*n**2 + 24*n - 9. Let k(j) = -13*j**3 - 53*j**2 - 97*j + 35. Let z(a) = -2*k(a) - 9*u(a). Is 33 a factor of z(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 17 + 36*v + 32*v + 39*v + 38*v - 151*v. Determine c(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.6 + -13. What is the closest to -0.02 in -5, g, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -572 divided by 52.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*s = -14, -3 = s - 6. Solve -p*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 5*j - g, 14*j - 2*g + 2 = 12*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/3976 and 5\/83993?\nAnswer: 671944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177981*c = -178277*c - 2368 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25051410.\nAnswer: 2, 3, 5, 31, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.8, 3\/7, 6584, 0, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 8, 3, 7.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 206015 = -4*v + 216833, 0 = -2*v + 2*b + 211404. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. Suppose -c + 5 = f. Solve -f*t + 0*t + 3 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-90)\/(-11) + 1 + -9. Sort b, -11, -4, 3 in decreasing order.\nAnswer: 3, b, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f*f**(-2))\/f)\/((f\/f**(-5))\/f)*(f**(-2\/3))**(3\/11))\/((f\/(f\/f**0)*f)**(-2\/53)\/(f**(2\/5)\/(f\/f**(1\/8)))) assuming f is positive.\nAnswer: f**(-131037\/23320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1699 - 1720 = 21*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5))**17)**(-16)*(n*n*(n*n\/n**(5\/7))\/n*n)\/(n\/(n**(2\/11)*n))*(n**(-1)\/n*n)**(-46) assuming n is positive.\nAnswer: n**(60933\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*g + 2, 4*o + 9 = -3*g - 13. Let u = -3 - g. Suppose 70*x = 165*x. What is the nearest to x in u, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 22 = q, 3*q + 8981 - 9020 = -6*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1953\/(-6076))\/(6\/(-8)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-20)*(-3)\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 896499201.\nAnswer: 3, 13, 1768243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4955\/7 - 712. Let t = 6 - -21. What is the common denominator of (-12)\/t + (3\/1 - 6) and q?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*p + 15*p + 11315. Let w = 361 - p. Let s(r) = r**3 + 5*r**2 + 2. Calculate s(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -20.37. Let i = 0.03 + a. Let k = i - 0.400076. What is k rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 6*f. Let k be q(-6). Let d be (-56)\/12*(-1)\/(3\/18). Solve 2*g - 5*l = d, -5*g = -k*g + 5*l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323 (base 10) in base 6?\nAnswer: 10043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47164 and 1984.\nAnswer: 23393344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -1\/24*m**4 + 0*m**3 + 0*m + 0 + 3*m**2. Let f(g) = -5*g**2 + 0*g**2 + 3*g**2. Calculate x(f(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 - -106. Let x = 33.1 - u. Let b = x - -4. What is the third smallest value in -4, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8839450871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 u, and 1 e when four letters picked without replacement from ekkkeuuu?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2055 and 4110?\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 24.897 and -274901765.\nAnswer: -274901740.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 206874640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*l = -19*l - 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -80402*l + 27899497. Give a(347).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -12, 0.5, 1 in descending order.\nAnswer: 1, 0.5, 0, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 439*t**4 - 4*t**3 + 35*t**2 - 2*t + 213921 with respect to t.\nAnswer: 1756*t**3 - 12*t**2 + 70*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1354652 and 35220952?\nAnswer: 35220952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 420.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -12700\/927 equal to -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/4 + 21\/14. Let b = 329.06 - 329. What is the closest to b in 1, s, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-7)*7*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-54)\/(-36)*(-4)\/927. Let m = v - 301\/1236. Is m at least as big as 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -849*v - 39897. Give y(-47).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*v - 2*v - v**3)*(-2 + 0 + 0) - 3*v**3 + 2*v**3 + 2*v**3 - 3*v**3 - v**3 + 3*v**3)*(-48*v + 32*v - 78*v) - 2*v**4 - v**3 + 6*v**3 + 0*v**4.\nAnswer: -190*v**4 + 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -71*t - 8. Let m be a(-5). Suppose 7*d - 6 = 15. Suppose -y + 74 = -0*y - 4*r, 5*y = -d*r + m. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g - 2*g - 51 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113335 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143326 is divided by 175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 647 or 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.065 + -0.035. Put -6, -1, -4, b in descending order.\nAnswer: b, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245335633?\nAnswer: 83, 2955851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j. Let d(f) = -5*f - 2. Let l(q) = 437*q + 184. Let z(b) = 92*d(b) + l(b). What is -24*x(i) - 3*z(i)?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -2 (c) -0.3 (d) -0.024\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.6 - 14. Let y = f + 5. Which is the second smallest value? (a) y (b) 7\/2 (c) 5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmma when four letters picked without replacement from {a: 6, m: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (74 + 131 + 40 - 43)*(z**2 - z**2 + z**3 + (-2 - 2*z + 2)*(4*z**2 - 2*z**2 - 3*z**2)) to j*z + d + o*z**3 + q*z**2 and give o.\nAnswer: 606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 5) in base 12?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/1026 and (62\/(-744)*28\/9)\/(190\/(-12))?\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1452269235 to the nearest ten thousand.\nAnswer: 1452270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16971076 and 1?\nAnswer: 16971076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4224?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqpqpqpqqppq. Give prob of sequence qq.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 - 2*n**3 + 2*n**3 + 5*n**3 - 5*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (792\/64)\/(-33)*(1408\/99)\/(-8)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 609 + -540. Calculate the remainder when k is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3352 - -3354. Factor -8\/7 + 4*t**f + 20\/7*t.\nAnswer: 4*(t + 1)*(7*t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g + 6 - 3 - 5*g.\nAnswer: -9*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2965 = -5*t - 4*n, -2*t - 3*n + 619 = -567. Suppose 2*m = -j + 295, -2*j + t = -m + 2*m. Calculate the remainder when j is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, v: 2, q: 1, a: 3, x: 2, g: 1}. Give prob of picking 1 a, 1 q, and 1 v.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 4 (c) -17 (d) -3 (e) -189\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12963.21 + -12963. Put 10, v, -1\/12 in descending order.\nAnswer: 10, v, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 4*c + 3 = -2, c + 5 = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 25*r + 6. Is 31 a factor of k(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04075207 times -0.39?\nAnswer: 0.0158933073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 2 - 82*i + 4 - 11.\nAnswer: -82*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 220082\/14511 - -1\/9674. What is the common denominator of 56\/3 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -176991*a + 9. Let s be q(-1). Round s to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*x**2 - 327*x**2 + 721*x**2 to c*x + t*x**2 + u and give t.\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1))**(1\/35)*(u**(-2\/9))**(-1\/17))**7 assuming u is positive.\nAnswer: u**(14\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*u**4 - 2*u**2 - 1056*u + 37628 with respect to u.\nAnswer: 16*u**3 - 4*u - 1056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16 + 17)\/(4\/1896). Let f = u - 468. Solve 0 = f*x + 6*x - 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrarrrrra. Give prob of sequence aa.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1416, 1199, 974, 747, 524, 311, 114?\n\"Answer: k**3 - 10*k**2 - 194*k + 1619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, i: 1, k: 2, w: 2}. What is prob of sequence dww?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -917, -1837, -2757, -3677, -4597, -5517?\nAnswer: -6437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 + 2 = 0. List the prime factors of 18\/v - (0 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-59)\/(2124\/(-1296)) - 31.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 126*h**2 - 28*h - 28. Let a(r) = 26*r**2 - 7*r + 13. Let z(t) = -29*t**2 + 8*t - 17. Let s(w) = -5*a(w) - 4*z(w). Give 28*s(b) + 3*y(b).\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7216)\/(-275))\/((-3)\/(-15)). Let d = n - 14087\/110. Find the common denominator of 167\/42 and d.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1090 - -136?\nAnswer: -d58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553988.\nAnswer: 2, 138497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - t**2 + t - 1. Let v(s) = -s + 1. Let w be v(0). Let h be y(w). Solve h = u + 8 - 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-51)\/(-18))\/((-5)\/(-5970))?\nAnswer: 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(22)\/(sqrt(20)\/(sqrt(160) + sqrt(10) - sqrt(10))) - ((-3*sqrt(132))\/sqrt(12) + (sqrt(11) + (sqrt(99) - sqrt(99)*1))**2).\nAnswer: -12 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -52 - 5?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 19475 = -4*x + 7*d, x - 2*d = 4877. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*198\/(-308)*(-10)\/27.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oozw when four letters picked without replacement from {z: 6, t: 2, w: 2, o: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2129972 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46170 and 8100?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -281*o**3 + 6*o**2 + 10*o - 1. Let g(b) = 4*b**3 - b**2 - 2*b - 1. What is -6*g(u) - k(u)?\nAnswer: 257*u**3 + 2*u + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**24\/t)\/(t\/t**22))\/((t**28\/t)\/(t\/t**(11\/5))) assuming t is positive.\nAnswer: t**(79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k = -8. Let j = k - -4. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (6 - (9 + (11 - 21)))) + 43\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11233 (base 4) in base 3?\nAnswer: -111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*o + 71*o = 6 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 589331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 5, 6, 103857 in decreasing order.\nAnswer: 103857, 30, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4))\/(36\/(-4032)). What is the greatest common factor of 14 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -395*n + 5533. Let g be k(14). Solve -5*w + g = 4*i - 3, 3*i = -3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -656*n + 2624. What is c(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2750 (base 11) in base 7?\nAnswer: 13251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*o**3 - 2*o**2 - o**2 + 3*o**2 + (-3*o**2 + o**2 - o**2)*(5*o + 2*o - 5*o) - 38*o**3 - 65*o**3 - 52*o**3 to n*o**3 + w*o**2 + v*o + l and give n.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 1. Let n(w) = 15 - 26 + 12. Determine -4*d(l) - 4*n(l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 4*j - 2*j**3)*(0*j - 4*j + 5*j) + 4*j - 2*j**3 - 7*j - j**4 + j.\nAnswer: -3*j**4 - 2*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*b*p**3*r**3 + 19*b*r**3 - 4*b*r - 542*p**3*r**3 + r**3 - 2*r**2 wrt b?\nAnswer: 8*p**3*r**3 + 19*r**3 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/8)*(m**(3\/5)*m)\/m)\/(m\/m**(-5)*m*m*m*(m**(-5)\/m*m*m)\/m)*m*m**(-3)*m*m*m**6*(((m\/m**0*m)\/m*m)\/m)**(2\/9) assuming m is positive.\nAnswer: m**(1151\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2547167949.\nAnswer: 3, 19, 37, 402587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 196354*w - 196357*w - 33, 3*c - 3*w + 27 = 0 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**5\/10 - h**4\/24 + h**3\/3 - 2*h**2. Let v(t) = -7*t**2 + t - 2. Suppose 110*a + 13*a + 369 = 0. Give a*v(g) - 4*z(g).\nAnswer: -3*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -8 - (6 + -3 + -9 - -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1456, -1587, -1718, -1849, -1980?\nAnswer: -2111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1359016 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5))**(16\/9)*((u*u**0*u)\/u)\/u**(-2\/3) assuming u is positive.\nAnswer: u**(43\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a860 (base 11) in base 14?\nAnswer: -35cac","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a - 84. Let b be i(28). Let s(h) = 8*h**2 + 3 - 1 - 5*h - 6*h. Let j be s(6). What is the highest common factor of b and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, n: 3, o: 5}. Give prob of sequence ioii.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284460 is divided by 1237.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.3 - 0.3. Let u be 18\/153*34 - (-100)\/(-26). What is the closest to 2 in u, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*d = 8, -d + 16 = 4*m - 2*d. Suppose -3*q + 18*q - 135 = 0. Solve 0 = -m*n - 5*f + 11, -3*f - q = -n + 2*f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16 or -109\/813?\nAnswer: -109\/813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 17 = -24. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozjozrrozpzzarpozzr. What is prob of picking 1 p and 2 r?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 7*w**3 + w**3 - 4*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 + 22*y**2 + 52*y - 8. What is b(13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25629 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: What is (-5*(-1)\/25)\/((-6)\/5)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 4260.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -9. What is the third derivative of -5*l**5 + 5*l**5 - 2*l**5 - 9*l**y - 7*l**5 wrt l?\nAnswer: -540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5063 divide 1743775136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 - 78. Which is the closest to -0.1? (a) -0.1 (b) 3 (c) v (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32.8 - 33. Let f = -1564\/9 + 174. Let y be 7\/12 - (-2)\/(-8). What is the nearest to y in j, 2\/5, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 25. Suppose 3*v + 0*v = 2*z, 0 = -z - p*v. Solve -5*o + 4*f - 2 = z, 5*o + 4*f = -7 + 29 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(5\/3)*z*z))\/z*(z*z\/z**(-1\/29)*z*z)\/z)\/((((z\/(z**(-1\/3)\/z))\/z)\/z)\/z*z**8*z*z*z) assuming z is positive.\nAnswer: z**(-318\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-10))\/(-4 + 2). Let d = -4 - -3.6. Which is the nearest to z? (a) -2\/13 (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1625, 2515, 3405, 4295?\n\"Answer: 890*q + 735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -1) + (-245)\/(-21)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112 - 95) + (1 - 8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17*-1)\/((-370)\/(-370)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2 - -0.8. Let n = v + -2.00000003. What is n rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/18)\/((5\/9)\/((-175)\/105))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7308*3\nAnswer: 21924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212111 (base 3) to base 9.\nAnswer: -774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3\/7 - 85036078*f**2\/7 - 258254817920228*f - 3615567110738888\/7 = 0. What is f?\nAnswer: -42518038, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 309*u + 5625. Determine x(19).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -112 and -3135188?\nAnswer: 3135076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 8*y + 34. Let p(m) = -3*m**2 - 23*m + 102. Let i(j) = 3*p(j) - 8*q(j). Let v be i(-11). Let g = -14 - v. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k = -4*s - 33, 4*k + 5*s - 10 = 0. Suppose n = 6*n - k. Does 12 divide n - ((1 - 1) + -23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbbtbbhhhb. What is prob of sequence bthb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(25\/4)*t)\/t*t*t*t**(-6\/5))**(-20\/9) assuming t is positive.\nAnswer: t**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 28 - 3 = -4*s, 0 = -3*s + 5*s + 3*r + 13 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14300 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: Find c, given that -118*c - 159*c - 4*c**2 + 313*c = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/190*-5*(21 - 40). Solve 2*k + 4 = a*t, 0 = -5*k - 8*t + 7*t - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -284.443 + -0.557. Let f = 368 + b. Do f and 0.5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229054847 smaller than 229054850?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**2 - 441*d - 6630. What is l(-69)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.117 + -0.043. Put 0.1, 1, u in decreasing order.\nAnswer: 1, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92600978.\nAnswer: 2, 6101, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 7 + 4*a)*(-1 + 4 - 5)*((-1 + 2 - 3)*(-1 + 4 - 2) + 1 + 0 + 0) to the form z + y*a and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 83915214 to the nearest 1000000.\nAnswer: 84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - s - 2. Suppose -10 = -5*u, 5*k + 6*u - u - 10 = 0. Suppose k = 100*l - 95*l + 15. Calculate x(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3306013913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 1317*j - 69345. Calculate u(53).\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 11:06 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51821.5 * -0.2.\nAnswer: 10364.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 + 7*o**2 - 8*o - 10. Let k be l(-4). Solve -3*w + 3*y + 0 = -k, 3*w + 4*y - 27 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 12334773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -479579, -2\/9, 0, 5, -3 in ascending order.\nAnswer: -479579, -3, -2\/9, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 1 - 227*h**3 + 231*h**3 + h)*(0*h**2 - 8*h**2 + 3*h**2).\nAnswer: -20*h**5 - 5*h**3 + 45*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 105386 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47 and 0 + 5\/((-25)\/(-10))?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1319112289.9 to the nearest 100000.\nAnswer: 1319100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.548704 milliseconds in nanoseconds?\nAnswer: 548704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -14 - (-11832)\/595 - 18\/3. Let o(u) = -u**3 - 7*u**2 - 6*u - 1. Let w be o(-6). Is g != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -165*(3 + -4)\/(-1). Let b = 160 + p. Sort 3, -15, b in ascending order.\nAnswer: -15, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174.1*47\nAnswer: 8182.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61982517?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145.68*18768.\nAnswer: -2734122.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164 and 574.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*x - 34 = 76 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 904962 or 6\/7?\nAnswer: 904962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 64, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n - 1. Let k = -12 - 2. Let g = -11 - k. Calculate l(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 384*z**2 - 805*z**2 - 10*z + 383*z**2 as o*z + k + r*z**2 and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -176.3461504.\nAnswer: -167.3461504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(245)\/sqrt(5))\/sqrt(7).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 277.99877 + -278. What is x rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4536 divided by 5\nAnswer: 4536\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 784 - 784. Which is the second smallest value? (a) 0.1 (b) -2\/23 (c) 4\/7 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 10. Let l(p) = -2*p + 19. Let o(r) = -2*l(r) + 5*u(r). Let h be o(8). Differentiate 2*d**4 - 3 + 2*d**h - 5*d**4 + 3*d**4 with respect to d.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1295, -2592, -3889, -5186?\nAnswer: -6483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-176)\/(-18) - -5) + 2\/9. Find the third derivative of -l**2 - l**5 - 15*l**3 + 15*l**3 - s*l**2 wrt l.\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-2 - 4))\/((-1)\/38). Suppose 5*w - u = -2*n + 6*n, 4*w = 4*n + 16. List the prime factors of (5\/(-10))\/n*368.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/(-63)*-5)\/(5\/2).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.2 - 6.8. Let j = -7.85 - a. Let i = -0.1528 + j. What is i rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85947391?\nAnswer: 1367, 62873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/72)\/(-3) - 87\/(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 9) to base 3.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**3 - 21*u**2 - 13*u - 46. Is 12 a factor of r(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 4*s + 4. Let g be a(5). Let h = g - -12. Solve -3*u = 4*v - 6*v + h, 5*v + 3*u + 25 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3239979 to the nearest 10000.\nAnswer: 3240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 3)*(8*j - 7*j + 11*j) - 7*j + 24 - 24)*(-2*j + 2 + 0*j - 6).\nAnswer: -10*j**2 - 20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.78510639 rounded to three decimal places?\nAnswer: -3.785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -24. Suppose 3*l - x - 133 = 0, n*l + x - 91 = 4*x. Suppose 2*t = -0*t + l. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -y, 3*b - 21 = -41*y + 43*y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -289 - -302. Solve 5*r - w = -z, 4 = 4*r + 5*z + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 - -111. Solve -13 = -5*u + 5*z - 33, 2*z - d = 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1249766?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483778.\nAnswer: 2, 19, 29, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 + 7*p - 3. Let o be g(-6). What is the highest common factor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + 53. Let d = s + -84.285. Let f = 2.975 - d. What is f rounded to 1 decimal place?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -610 + 624. Suppose 12 = -j*c - 2. Does c = -4\/319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -61*l**4\/8 - 437*l**3\/6 - 4*l**2 - 3. Find the first derivative of t(y) wrt y.\nAnswer: -183","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309201911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8252700 (base 10) in base 4?\nAnswer: -133132310130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwtwwswtsstd. What is prob of picking 1 d, 1 s, and 1 w?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 34, 43, 54, 67, 82?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 622.35 + 55.35. What is v rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115\/8 + -689\/48. Let x(h) be the second derivative of 0*h**2 + q*h**4 + 18*h + 1\/80*h**5 + 0 - 1\/24*h**3 - 1\/120*h**6. Let x(m) = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 + -0.9. Let y be 1 + 3 + 69\/(-18). Sort -1, n, y in descending order.\nAnswer: y, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.61 rounded to 0 dps?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*h - 22, 3*h - 2*k = h - 16. Let p = h - -27. Suppose 0 = -4*t - p, -t + 825 = 5*u + 3*t. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g - 3 + 2*g - 3*g - 3*g. Let v be d(-7). Suppose -5*l - 25 = -3*j - 2*j, v*l + 14 = 2*j. Is l less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b86b (base 15) to base 13\nAnswer: 4bb06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a minute in milliseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 6931*t + 6933*t + 50, 0 = 47*u - 5*t + 589 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*r = 77784 - 77438 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 379.8893 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-6))\/((-2)\/(-12)). Let z be d - 1 - (2 - 5). Let k = -4 - -7. Solve z*s + s = -5*v, -3*s = -k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**5\/2 - 17*b**4\/4 + 51*b**3\/4 - 63*b**2\/4 + 27*b\/4 = 0.\nAnswer: 0, 1, 3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -f882 (base 16) to base 11\nAnswer: -43885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a hour in minutes?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -2, 0.2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h. Let u(f) = -790*f**2. Calculate u(d(s)).\nAnswer: -19750*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*123.6182\nAnswer: -24.72364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 2 = -4*c. Suppose 0*m - 3 = -5*a + 4*m, -c*a + 4*m = 0. What is the units digit of (-1 - -2 - -1) + a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2933 (base 11) to base 3.\nAnswer: -12012021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 - 3989*q**2 + 293304*q - 197. What is o(71)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75822671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-35) - 6\/(-15). Let i = 50.9 - 51. Which is the closest to i? (a) 2\/11 (b) 1\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22321 and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12559532 divided by -738796.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 5*w - 14030, r + 4*w - 420 = 2395. What are the prime factors of r?\nAnswer: 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1745.\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r**2. Let x(k) = -5*k**2. Determine x(o(i)).\nAnswer: -180*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.04, -31, -37, 2?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7882 and 1.\nAnswer: -7882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -492.2619 or -0.6?\nAnswer: -492.2619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*w - 927*w - 288*w - 15168 = 0 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2542 + 2542 - u + 24*u**2 + (-2*u + 0*u + 0*u)*(-1 - u + 1) as d + j*u + n*u**2 and give n.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 0.066?\nAnswer: 0.0396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 13) to base 12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1180*n - 5683 = 4998 + 4659 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 7\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 142 and 0.4.\nAnswer: 142.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 52651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 741, 20730 in decreasing order.\nAnswer: 20730, 741, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5550856 divided by -1387714.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -854730, -854663, -854596, -854529, -854462?\nAnswer: -854395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (48\/(-10))\/((-36)\/90). Solve 4*k = -t, x - k - 1 = -0*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 37*v - 626241 - 571074 = 0. Round v to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17963000 rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00042168 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 64*o + 8570. Let w be t(-133). Put -28, w, -5 in increasing order.\nAnswer: -28, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4341*t - 190842 = 599*t for t.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 25. Suppose u = -4*y - k*u - 32, 4*u + 13 = y. Suppose -3*j + 4 + 1 = -2*s, -4*j + 4*s + 8 = 0. Put j, -2, y in ascending order.\nAnswer: y, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3000 is divided by 811.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(5) + sqrt(45) + -1 + (sqrt(5) - ((0 + sqrt(720))**2 + sqrt(5)))).\nAnswer: -4*sqrt(5) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89829 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15275.\nAnswer: 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -5*u + 21, -3*u + t - 3742 = -3758 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4)*-6 - 0. Let v = -445 - -448. Let l(n) = -8*n + 29. Let p be l(v). Solve -2*f - u*f = -p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -6785.\nAnswer: 8\/6785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46131 + 46131 + 2409*t.\nAnswer: 2409*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 + 0.5. Let u be (-16)\/(-3) - (-4)\/(-12). Suppose u*r = r. What is the nearest to r in -3, 0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 1. Let p(o) = 6*o - 7*o + 15*o + 7*o - 27 - 3*o. What is -27*i(w) - p(w)?\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 24, -3, -376 in decreasing order.\nAnswer: 24, 9, -3, -376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 5) in base 16?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.5 - 0.5. Let x = 7.2 + n. Let q be ((-2)\/3)\/((-4)\/6). Do q and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000561960374 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 497*k**2 + 260*k - 5336. Is n(19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377191343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/11? (a) -2\/17 (b) 3\/4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 3*p**2 - 2*p - 5. Let t be c(4). Suppose 0 = -11*n + 5*n + 150. Let g = 0 + 2. Solve -t*h - g*h = -n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**5\/5 + 1127*n**4\/3 - 4516*n**3\/3 + 7411*n. Factor r(j).\nAnswer: 4*j*(j - 2)*(j + 1129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 15*a**3 + 24*a**3 + a - 41*a**3 as r*a + x + o*a**3 + p*a**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 4) to base 15\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 85804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 397 + -391. What is the units digit of (-104)\/q*1833\/(-52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 3. Let q be p(0). Let g = q + 5. Let l(h) = 8*h**2 - 8*h + 22. Let y(r) = 3*r**2 - 3*r + 8. Let z(f) = 4*l(f) - 11*y(f). What is z(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*i + 1300 = -17246 - 25762. Sort 29, 1, i.\nAnswer: i, 1, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/7 (b) -36 (c) 4 (d) 51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 6\/5, 3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133039 + 91519. Round g to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -797*w + 1523*w - 822*w + 2880 for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396416257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 2*k = -108. Suppose k*z = 1382 - 374. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 3)*(3*t**4 - 4 + 4) + 0*t**4 + 5*t**4 - 3*t**4 - 2*t**3 + t**4 - 3*t**4 + 4*t**3 to c*t**4 + n*t**2 + u*t**3 + x*t + w and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 1. Let q be h(6). Suppose -q*a + 23 - 73 = -2*w, -a - 2*w = 22. Let y be (-3)\/7*(0 + 5 + a). Is 28\/15 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -179*i + 172*i. Suppose -15*c - 5*n = -18*c + 2676, -3*c + 2673 = -i*n. What are the prime factors of c?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -357*c**5 + 0*c**4 + 0*c**4 - 711*c**5 + (-c**4 + c - c)*(c + 4*c - 4*c).\nAnswer: -1069*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4049.\nAnswer: 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95 + -38. Suppose j = 2*j - 1. Let s be (0 - j - 0) + 39. Calculate the greatest common factor of s and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpo when three letters picked without replacement from {o: 4, w: 3, f: 4, p: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -1\/180*b**5 - 4\/9*b**3 + 0 - 19*b**2 + 1\/12*b**4 + 0*b. Suppose z(r) = 0. Calculate r.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -972*s**4 - 247*s**2 wrt s?\nAnswer: -23328*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*z + 126 = 0, 0*z = -4*f + z + 168. Which is greater: 41 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -0.2, 0.1, 1\/140, 2, -3, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121572722 to the nearest integer?\nAnswer: 11026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84956451.\nAnswer: 3, 73, 113, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 19*s + 784. Determine g(-41).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2115, -2\/19, -4.\nAnswer: -4, -0.5, -2\/19, 2115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 251 + -247. Solve -3 = j + 3*m, 3*j + y = 2*m + 17 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 9*d**2 - 8*d + 8. Calculate m(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16488126*r**3 + 607008042?\nAnswer: 49464378*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75562.199996 + -75558. Let u = -4.2 + y. What is u rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 34484534 = 4*d. Let h = d - -4103181. What is h rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 0*f + 0*f + (1 - 5 + 2)*(4*f - 2*f - f) + (5 - 14 - 3)*(0 + f + 0) - 3*f + 2*f + 2*f as h*f + s and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*s = 8059 + 9198, 2*s = d - 3450. Suppose d = 4*y + 960. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -6. Let n be (-2)\/(-4) - g\/10. Suppose n = -5*z + 3*f + 40, 4*z + 2*f + f = 5. What is the remainder when 8 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -1. Suppose -3*c - 5*k = 35 - 12, 5*k = 4*c + 19. Let m(g) = -g**3 - g. Let w(i) = -5*i**3 - 6*i. Give c*m(l) + u*w(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**2 + 175728*t - 3860041248 = 0.\nAnswer: 43932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by 1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 136 - 134. Solve -7*u = -2*u + w*d - 10, -5*u + 4*d = -10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/11, -15, 3, 94, 1\/187, 2\/17?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 513608 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -363 - 0.03.\nAnswer: -363.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -90. Let s be ((-8)\/20)\/(-3 + m\/25). What is the second derivative of -6*t**2 + s*t**2 - 25*t - 4*t**2 - 35*t**5 wrt t?\nAnswer: -700*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 8*h**2 + 21*h - 11. Let p be w(9). Let g = p + 131. What is the greatest common factor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4966221041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154112 by -2408.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9044 minus 23344249?\nAnswer: -23335205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 + -1001010111000000?\nAnswer: -1001010111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 23. Suppose -f = q*f + j - 1, 15 = -3*j. Suppose -4*x - 3*l = -16, 3*l + f*l = 4*x - 16. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 46, 40, 20, -20, -86, -184, -320?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 - -7)*(-1 - 3). Let m = -6 + l. Suppose -4*o = 2*g - 20, o + 1 + 9 = m*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-63 - -58)\/(-2 + 1). Solve 5*q + 5*o = 2*o - 1, h*q - o + 13 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1505*x + 857*x + 990*x = -6498 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -1149 and 4268368.\nAnswer: 4267219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2532*r + 2291*r + 0.\nAnswer: -241*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 45*v - 44*v + 12, 0 = c - v - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 take away -2606036.01?\nAnswer: 2606091.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 155b?\nAnswer: 155e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1531 is divided by 74.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18433215 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 47*o - 270. What is r(52)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -263 and -262 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -256479 - -5.\nAnswer: -256474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*x - 226, 0*x = -2*x + 6. Suppose 0 = -5*y - 7*l + 5*l + 28, 3*y + 8 = 5*l. Suppose 2 = -y*f + s. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 20921, 4, 1, 340 in decreasing order.\nAnswer: 20921, 340, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvvtvtt. Give prob of picking 1 t and 2 v.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 877*b**2 + 8*b - 6*b - 859*b**2 - 2*b.\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 0*f**2 - 22 - f**2 + 110*f - 98*f. Let x be r(9). Solve -5*z - 1 = -3*w - 4, z + x = 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24*4744.7\nAnswer: -113872.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 5*q**2 - 3*q + 2. Let n be v(-5). Suppose -3*d - n = -2*s, 0 = 5*s - 3*s - 4*d - 16. What is the remainder when 38 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/2 + (4 - 4). Let d be 1*3\/(i + -4). Which is greater: d or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1495693 is divided by 1495690.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3753751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*g + 42*g + 154 - 133*g - 154 + 5*g**3 + 46*g.\nAnswer: 5*g**3 + 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(110)*-1)\/sqrt(10))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 48\/5 of a decade?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -16. Suppose -7*t + 10 = -2*t + 5*f, 0 = 3*t - 4*f - 27. Suppose -3*l = t*x, -3 = -3*l - x - 3*x. Solve l = -4*m - b for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3868670 is divided by 524?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-86)\/(-18) - (203\/(-63) + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 42?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -57, 10, -684?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = q - f - 1848, -3*q = -4*f - 5489. What are the prime factors of q?\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105\/17428744 or 0?\nAnswer: -105\/17428744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15 - 124\/12)\/((-2)\/(1 - -2018999)). What is c rounded to the nearest one hundred thousand?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(1573) + (sqrt(1573)*1 - sqrt(1573)))*5*6 - (sqrt(117) - ((sqrt(117) + sqrt(117)*1)*3 + sqrt(117)))\/(sqrt(45)\/sqrt(5)*3))**2.\nAnswer: -79680*sqrt(13) + 1447312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c + 1. Let z be w(2). What is the common denominator of z\/44 - (-79)\/44 and -81\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10876231 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110101111100010 (base 2) to base 3.\nAnswer: 11201210011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**2)\/((h\/(h**(-4)*h)*h)\/h))**(4\/5)*h*h**1*h**2*((h\/h**(-5))\/h)\/h**(-3) assuming h is positive.\nAnswer: h**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((25\/(-15))\/(-5))\/(1\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -149 - -1016. Let s = -797 + x. Calculate the remainder when 75 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**3 - 4 - 6*b**2 - 3*b**3 + 6*b**3. Let m be k(-6). What are the prime factors of (-18)\/m - 5\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 9*y - 18. Let a(n) = 3*n**2 + 26*n + 44. Let j(b) = 2*a(b) + 7*v(b). Calculate j(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - c**2 - 4*c**2)*(c - 9 + 9 - 1293 - 10*c + 1293 + (-2 + 0 + 4)*(-1 + 1 + 2*c)).\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/5)*p)\/p**(2\/3)*(p\/(p*p\/(p\/(p\/p**1))))**(12\/5)*(p**(-6)*p\/p**4*p)**25 assuming p is positive.\nAnswer: p**(-3001\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in grams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152932, 152943, 152954?\nAnswer: 152965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6499 < -6498?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -655, -4320, -7999, -11686, -15375?\nAnswer: -19060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1216 and 558079552?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -13. Let y(z) be the first derivative of z**4\/4 - 5*z**3 + 31*z**2\/2 + 8*z - 82. What is the tens digit of y(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 - (-78)\/16) + 2. Which is the nearest to 0? (a) v (b) 0.06 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1164537 = 14*o - 1165377 for o.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 3:57 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 11*c - 22. Solve 0 = -b - 3*s, 3*s = -c*b - s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 543, 2880, 6767, 12198, 19167?\nAnswer: 27668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88201 - 571321 = -120*p. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7966 divided by 7393\nAnswer: 7966\/7393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -61*w**2 - 6*w - 4. Let k(n) = -2*n**2 + n + 1. Calculate -6*k(v) - x(v).\nAnswer: 73*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -17*u + 60. Let h be f(3). Solve 6*p - h = 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-90)\/14 + (-4 - (-31)\/7). Sort -3, c, -5 in decreasing order.\nAnswer: -3, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/(72\/648).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.14 - 0.04. Let i = -0.08 - w. What is the closest to 0 in 5, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24\/11 - -61\/22. Calculate the common denominator of h and -1 + (-106)\/(-12) - 0.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92 - -139. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -538835 by -5335.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*t - 192 = 148 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1968967 is divided by 69?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1124943 by 374981.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 1. Let k(b) = b - 3. Let m(h) = -3*j(h) - k(h). Let l(q) = -q**2. Calculate l(m(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2478 and 5487.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 41855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42944?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 5*z - 45 = -4*x, -17*x + 20 = 2*z - 16*x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 260 - 204. Suppose -8 = 12*s - l. Solve -3*f = -s*i - 2*f - 17, i - 4 = 3*f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h - 4*o = 31*h - 302, 2*o + 8 = 0. What is the remainder when 164 is divided by h?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 143, 506, 1111, 1958?\n\"Answer: 121*n**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 55 = 4*g. What are the prime factors of (-5 + (-2 - g))*158\/8?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 18. Let f = 10 - d. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**3 - 2*z**2 + 3*z**2 - 2*z + z**2 + (-z**2 - 3 + 3)*(3 - 2*z - 3) - 5*z**3 + 43*z - 43*z.\nAnswer: -8*z**3 + 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-7 - 5) - (-7 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1038, -1042, -1046, -1050, -1054?\n\"Answer: -4*k - 1034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 - 4 + 3 = 2*i - 5*p, 0*i - 80 = 9*i + p for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 + 31 + (33652 - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 8:44 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 497 and 7511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -10*r + 6. Let j(k) = 17*k**3 - 31*k + 3. Let g(m) = 16*m**3 - 31*m + 2. Let x(b) = r*j(b) - 3*g(b). What is the second derivative of x(c) wrt c?\nAnswer: -84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 108 + 1 - 11*1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 6:12 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1057999491?\nAnswer: 3, 117555499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26 + -1dc736?\nAnswer: -1dc710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 11, h: 2}. What is prob of picking 2 e?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/273 and 127\/1374.\nAnswer: 125034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**2 - 17*o**3 + 12*o**2 + 2*o**2 - 3*o**2.\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -116*k + 634. What is the units digit of v(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*h + 57*h = u + 7, 8*h - 24*h - 18 = -2*u for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -23. Suppose 7*r = 4*r + j. Let z = -3 + r. Solve 2*d + 0 - 2 = z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046 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: Rearrange -22 - 70*b + 147*b - 75*b to the form y + g*b and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8940.6655 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z - 4. Let p be k(-8). Let q = p + 34. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 5522, -110?\nAnswer: 5522","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - 42) + 0 + 25 + -4 - (-3 - -78).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 142\/7. Let n = 0.3 - 0.4. What is the nearest to n in j, 2, 3\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 10 = 4*g. Let t = g + 0. Let j(f) = -3 + 5 + 0*f + 4 + f**2 + 6*f. Calculate j(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.094929 + -8104.105071. What is n rounded to the nearest 100?\nAnswer: -8100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j - 26*j**4 - 6*j**2 + 16*j**4 + 15*j**3 - 7 - 13*j**3 + 25 + 9*j**4 to h*j**3 + y*j**4 + p*j**2 + z + q*j and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*g + 213, -g - b + 2*b = -49. Suppose -9*q + 20 = -5*q. Suppose 0 = q*k - 10*k + g. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10177 - 6355. Is m a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7219 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-127)\/(-762))\/(1 - 0 - 0).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 + 10*o - 6. Suppose -42 = 111*r - 118*r. Calculate p(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 134*j - 1550. Let c be q(-11). What is the highest common divisor of c and 240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 minus 97?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 7 - 13 - 35*f + 13*f - 12 as r + z*f and give r.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000022395 rounded to 7 dps?\nAnswer: 0.0000224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**7\/i*i\/i**(-7))**(-4\/7)*(i*(i\/i**(-1))\/i*i)**(-32)*(i*i\/(i\/(i**(-1)*i)))\/(i*i*((i\/i**(-1\/8))\/i)\/i*i) assuming i is positive.\nAnswer: i**(-5919\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-9)\/60*(-12)\/78*-13.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 5 - (-240)\/(-64). Which is the nearest to -2\/5? (a) 0.05 (b) 1\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**6 + 1160*d**4 - d**2 - 3701*d wrt d?\nAnswer: -120*d**3 + 27840*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4292165209 to the nearest integer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 58191583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1796, 1899, 2042, 2225, 2448, 2711, 3014?\n\"Answer: 20*d**2 + 43*d + 1733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 4*k + 2342, -o - 4*o - 4*k = -5813. What is the remainder when o is divided by 1156?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46125947 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: 1*-138756\nAnswer: -138756","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 353553659, 1, -5, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/36 and -63\/64?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -14. Suppose k - 3 = -0. Solve -q = -a - k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + 5*o - 7. Let b(w) = w**2 + 8*w - 5. Suppose 5*a + 4*k = 2, -a = -0*k + k. Suppose -a*n = 4 + 12. Let u be b(n). Determine m(u).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -9, -10, -11?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1388 and 4.\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((1 - -5) + -3)\/(-1). Let a(p) = -p**2 - 3*p + 4. Let j be a(z). What is the units digit of 154\/10 + j\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/50 and -101\/6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 11254*v**3 - 5.\nAnswer: -11254*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(68) - 2*sqrt(68)*-5))\/(((sqrt(100)*-4)\/sqrt(5))\/sqrt(5)).\nAnswer: -11*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 48 = -3*s, 28 = s + 7*h - 3*h. Suppose 0 = 176*t - 288*t + 7728. Calculate the remainder when t is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 5, -135552?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 1, 341?\nAnswer: 341","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4406289144 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2684666269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 8) to base 5.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.172, 0.11, 1\/2, -15, -7\/9 in decreasing order.\nAnswer: 1\/2, 0.11, -0.172, -7\/9, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -244938.8 times -136\nAnswer: 33311676.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2395511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.088*-1.\nAnswer: 1.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1438404032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/8 (b) -8 (c) 2\/5 (d) -0.2 (e) 2\/13 (f) 38568\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -307 + 287.9. Let u = b + 0.1. Let q = -14 + 41\/3. Are q and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0 + 1 + k + (-5*k + 4*k - k)*(-1 - 2 + 5) - 3*k - 2*k + k in the form n*k + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 8*r + 468. Let c be x(-22). Solve 560 + c = 90*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1133 - 4583 = -23*k. Solve 146*i - k*i = -20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ufuuffof. What is prob of sequence uufo?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -17650?\nAnswer: -1\/8825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19\/13 - -191\/104. Let v = 21\/16 + 3\/16. Let z = 0.27 + 0.23. Which is the smallest value? (a) z (b) v (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 6 = -5*q + 1, 0 = -2*w + 5*q - 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/((i\/(i**(-1\/2)*i*i))\/i))**(-8)*(i**(-1))**(-50) assuming i is positive.\nAnswer: i**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -3*z**5 - 345*z**2\/2 + 5677*z - 9105. Differentiate o(b) with respect to b.\nAnswer: -60*b**3 - 345","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 11:12 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 73819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 560 - 695. Let y = t - -811\/6. What is the nearest to -0.03 in 4, -0.3, y, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from {b: 3, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-376574)\/(-4) - 5\/10. Let j = t + -39962. Suppose -156181 = z - j. Round z to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -1525074?\nAnswer: -3\/508358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/8 and (-75)\/8 - -1*4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -322, -479, -636, -793?\nAnswer: -950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 3. Suppose -5*m + 9*m - 16 = 0. Let g = m - 7. List the prime factors of r(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(1960) + 2*sqrt(1960))*-6)\/(sqrt(96)\/(-2*sqrt(1200) - sqrt(1200))))*-6.\nAnswer: -22680*sqrt(5) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8448473 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.3435 + 0.3435. Put c, -0.6, -8 in descending order.\nAnswer: -0.6, c, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = m + 6*u - 4*u - 53, u - 3 = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f**2 + 9*f - 16. Let i(l) = -l**2 - 2*l + 3. Let p(b) = -11*i(b) - 2*z(b). Calculate p(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.5, -159586, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - 30. What is the remainder when 46 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j**2 - 17*j + 11. Let a be b(7). Suppose -7*p = -11*p + a. Calculate the remainder when 64 is divided by p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 + 18 - 14*o**2 + 36*o**2.\nAnswer: 22*o**2 + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168515 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: How many minutes are there between 7:06 AM and 6:26 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(684) + sqrt(684) + sqrt(684))**2 + -3*(2*sqrt(19))**2.\nAnswer: 36*sqrt(19) + 5929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -746.67 + -3.33. Let l = -785.1 - j. Let r = -35 - l. Which is the second smallest value? (a) -5 (b) r (c) -4\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - 13. Let u = i + 65. Let s be (-1)\/(110\/u - 4). What is the highest common factor of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 873 or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641 a factor of 96606120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ja when two letters picked without replacement from {g: 7, a: 1, y: 2, r: 4, j: 4}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 a when three letters picked without replacement from sfcaqccfacffsff.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -7*a + 96. What is the common denominator of -22\/17 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 g when four letters picked without replacement from {g: 10, j: 10}?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011100100110111 (base 2) to base 4.\nAnswer: -203210313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5058.5 - 5059. Let l = 0.19 - 0.29. Which is the fourth biggest value? (a) 0.2 (b) -3 (c) u (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5 = -4*f + 75, f - 3*w - 20 = 0. Solve -2*a - 2*a - f = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w - 9*w + 17 - 18 - 12*w. What is b(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 222185?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 117 - 118. What is the fourth smallest value in 1, b, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3653 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 28, -1027, 1, -5 in decreasing order.\nAnswer: 28, 1, 0.4, -5, -1027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13401715 is divided by 51.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -428*n + 423*n + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 2:25 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 + -0.32588.\nAnswer: -0.40588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5720)\/(-37180) + (-7)\/26*266\/511.\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52 - (21 + -19)) + -50?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(0 + 0 + 2*k**5) + 1891 - 1891 + 1035*k**5.\nAnswer: 1033*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 11:37 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 7*v + 2332. Let r(i) = i + 385. Determine -19*r(k) + 3*z(k).\nAnswer: -3*k**2 + 2*k - 319","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**2 - 5*p + 14. What is c(-16)?\nAnswer: -674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2145 and 3598764?\nAnswer: 197932020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 9) to base 5.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-20 - -9) - (34 + -2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 5*b - 15, -2*b + 6 = 4*d - d. Let w be (-8)\/(-12) + 4\/3. Solve -7 = 5*g + w*j, -2*g - 2*j + 2 = -d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 8*r**2 + 3*r - 3. Let a = 357 - 365. What is z(a)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 31 = 2*s - 51, -4*u + 26 = 3*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 23, -359?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -5) + (-774)\/(-12). Let d = l - 44. Let y = -50614\/8855 + 2\/1265. What is the common denominator of y and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8154 = -k + 6*k + k. List the prime factors of k.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**(-7)\/(c**(-1\/3))**(-26\/3))\/(c**(-8)*c**(-2\/3)*c\/c**(1\/8)*c**6) assuming c is positive.\nAnswer: c**(-583\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - w - 379 + 373, w - 3 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2429 * 104\nAnswer: 252616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/75 of a day?\nAnswer: 2304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -35. Let n = -1251 + 1267. Solve -m = 4*y + n, -m - u*y = 2*y + 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27850447 by -275747.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 224 - 226. Is g less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 plus 2089062581.15?\nAnswer: 2089062680.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*s**3 + 277*s wrt s.\nAnswer: 222*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 9) in base 16?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*(-2 + (-2585)\/15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*k - 8*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 276, 370, 438, 450, 376, 186, -150?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 2, a: 2, n: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 3*b + 3. Give y(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718147?\nAnswer: 337, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 29\/10705609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -111, -215, -319, -423, -527?\n\"Answer: -104*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -3*n - 42*o + 341, -19*n - 3*o = -15*n - 28 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 10, -3\/10, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 84 + 103 - 10*k**3 - 192. Let n(t) = 9*t**3 + 4. Determine 3*l(q) + 4*n(q).\nAnswer: 6*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261*j**2 - 2*j + 0*j + 259*j**2 + 2*j.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000001 - -11001000110001?\nAnswer: 11001100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 934 divide 3041467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 561859 or 561882?\nAnswer: 561882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 55 = -z. Suppose 9 = 5*j - z. Which is the biggest value? (a) -4 (b) 0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 11:24 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (4 - (7 - 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3241454 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-160)*2 + (-12 - (39 + 57025\/(-500)))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**2 + 18 + 20 - 15*u**2 - 40 in the form r + w*u**2 + d*u and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*g**3 - 52*g**3 - 27*g**2 + 86*g**3.\nAnswer: -7*g**3 - 27*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 101102?\nAnswer: -101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 16) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94910 (base 10) to base 8.\nAnswer: -271276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*n)*(-1654 - 1980 + 1237).\nAnswer: 4794*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7768 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*a + 2*a - 6 = 0, 0 = h + a - 6. Suppose q - h = 9. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -507 + 508.31. What is the closest to -1 in -1\/2, u, 2, -0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2572718 to the nearest integer?\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**3 + 2*g**3 - 2*g**3)*(-49 - 45 + 135 + 3080*g - 40) in the form r + y*g + c*g**4 + j*g**2 + t*g**3 and give c.\nAnswer: 3080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1675, 1674, 1673, 1672, 1671, 1670?\nAnswer: 1669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 8:15 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1\/((-1)\/(-5)) + (95 - 98) and 103.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 10. Let t(h) = -2*h + 4. Let w be t(-2). Let b be i(w). Let q(d) = -4 + 10 - 3 - d + b. What is q(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f**2 + 13*f**2 - 2*f + 6*f**2 to h + z*f + p*f**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert e (base 15) to base 5.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28 - 9?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1357 - -1373. What is the highest common factor of 300 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*z + 2 - 2)*(31 - 13*z - 31) + 10 - 10 + 12*z**2 to the form l*z + h + w*z**2 and give w.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d - 114 = 0. Suppose k + 2*k = d. Calculate the remainder when k is divided by -3*(0 - 20\/6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h + 42*h + 29*h + 16*h.\nAnswer: 65*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 74909, 74877, 74843, 74807?\n\"Answer: -o**2 - 29*o + 74939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -12*t - 28. Let b be a(-6). Let i be 1\/(2\/(133 + -1)). Calculate the greatest common factor of b and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -796, -795, -794, -793, -792, -791?\nAnswer: -790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 574 and 410.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 394060819?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*p - 25*p + 46*p + 2*p + 12*p**2.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 6, c: 13}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s = 2. Which is the biggest value? (a) 2\/9 (b) s (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40464616.\nAnswer: 2, 467, 10831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 124 - 116. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/8 + (-16)\/64. Which is the nearest to y? (a) -2 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12029237+0.02360413\nAnswer: 12029237.02360413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 40280057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -193529753\/110 + 1759375. Let a = o - -37\/165. Find the common denominator of a and 1\/(-3) + 195\/99.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -0.057, 0.2?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -846000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 4:45 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 7 = 8. Let f be 18\/(-9)*(3 - 6). Let w be -3 - 6*f\/(-12). Solve -t*j = 2*l - w*j + 3, 9 = -4*l - 3*j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z - 6. Let u = -37 - -47. Let g be (1 + 0)\/(u\/(-70)). What is s(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/24)*l*(l**(2\/3)\/l)\/l)\/((l*l**9)\/(l\/(l*l**(-4\/3))*l)) assuming l is positive.\nAnswer: l**(-193\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100015 - 12?\nAnswer: 100003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3f + 17?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/270*(16\/(-28))\/2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s**2 + 1197*s + 899. Give u(200).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/75 + -1 + 15\/(675\/(-6)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16224*f - 16253*f + 116 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37546, -150216, -338008, -600922, -938958?\nAnswer: -1352116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 811 and -29476.67606.\nAnswer: -28665.67606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**2 + 6*r - 6. Let g be y(-6). Suppose -4*p = -h - 87, 0 = -0*p + 3*p - h - g. Calculate the remainder when 62 is divided by p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13\/6 - 8\/3. What is the third biggest value in p, 2.1, -2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-6)*270\/(-36). Let f(b) = 8*b - 8. Is 6 a factor of f(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250808.\nAnswer: 2, 107, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2. Let z(y) be the third derivative of 0 - y**3 + 1\/24*y**4 + 0*y**5 + 2*y**2 - 1\/120*y**6 + 0*y. What is z(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 0. What is the units digit of (-4)\/j*(-21)\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 11:23 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4265646 divided by 231?\nAnswer: 18466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48.37 - -48. Let j = -5.03 + k. Let p = -5.42 - j. Sort 1, 0.5, p in increasing order.\nAnswer: p, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p + 18*p + 720 = -3*j, -476 = -2*p + 4*j. What is the lowest common multiple of p and 88?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 402 - 418. What is the remainder when 52 is divided by 5\/((4\/k)\/(-1))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29810.\nAnswer: 2, 5, 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 6, 1 in descending order.\nAnswer: 9, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 - (-13 + (-4)\/(12\/(-3)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 15. Let u be (-20)\/(-2) - (-2 + 2). Suppose -2*v - 2 = -u. Sort v, h, 2 in descending order.\nAnswer: v, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.128499061 rounded to three dps?\nAnswer: 0.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 2. Suppose 5*p = -30 - 25. Let i = p + 4. What are the prime factors of d(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54286, -108545, -162776, -216979, -271154?\nAnswer: -325301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 2*q - 7. Suppose 3*s + 25 = -2*s. Let p be t(s). Suppose 0*y + 4 = 4*y - 4*d, -3*y + d = -9. Solve p*c = 4*c + y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.136 + 8.164. Let w = -8 + i. What is the closest to 0.2 in w, 1\/4, 1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 - r**2 + 5*r**2 + (-65 + 65 - 6*r)*(2*r - 3*r - r).\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7583576 is divided by 1011?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 1:27 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 0 - 3\/(6\/4). Let c be (-30)\/9 + (-2)\/3*1. Is (-1569)\/(-2) - m*c\/(-24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37120?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-14))\/(32214\/(-375830))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 291*z + 4. Is f(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2806666?\nAnswer: 2, 17, 82549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13\/2 + 6. Which is the closest to -1? (a) 0.1 (b) -1\/10 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 2. Let x be y(5). Let q = 5 + -10. Let c(r) = r**2 + 6*r + 7. Let u be c(q). Solve 5*n - x*z - 15 = 0, u*n = n - 4*z - 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56\/87537 greater than -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45577952 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9527511 is divided by 6644?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 23*t**2 + 3*t + 7. Let g(x) = -11*x**2 - x - 3. Let u(r) = -5*g(r) - 2*o(r). What is the remainder when u(2) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 9 - 6 - d + 12. Suppose -3*f - f = 2*p - 164, 0 = -2*p - f + 158. Let z = p + -69. Give a(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/6 - 101\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -7\/60*l**5 - 4\/3*l**3 + 1 + 10*l**2 + 0*l - 1\/120*l**6 - 1\/24*l**4. What is y(-6)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llzz when four letters picked without replacement from {l: 10, z: 9}?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 990 and 4950.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011111111001000 - -11?\nAnswer: 111011111111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 12. Let i be y(0). Let m be 2\/12*i\/(-3). Let o(p) = p. Let x be o(5). Which is the third biggest value? (a) m (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142034 is divided by 250?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/15)\/(3\/(-35)). Let h = 9\/2 + r. Let g(v) = 2*v + 49. Let x be g(-24). Which is greater: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-24))\/(12\/(-8))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3566 (base 8) in base 7?\nAnswer: 5366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - sqrt(110)*2*2) + -2*sqrt(110)*-2)\/(sqrt(120)\/sqrt(3)*2).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20831 + 2111 = 480*u for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62412 and 135492.\nAnswer: 100670556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifteen quarters of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10 + (0 - -3294) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02296098431 to three dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125682.\nAnswer: 2, 3, 20947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(3\/8)*p*p**(-3))**9)**(-34) assuming p is positive.\nAnswer: p**(765\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 202250 and 2000.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*m + 1, -2*u - m - 22 - 9 = 0. Let x be 0 + 2 - u\/(-8). Let k = 4\/17 + -25\/34. What is the nearest to x in -1\/7, -1\/3, k?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from ttqoeyyoyooooo.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -623621*-0.3\nAnswer: 187086.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.84830248 - -0.0447571.\nAnswer: -6.80354538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + z**2 + 2*z + 2. Let q(k) = 872*k**3 + 1801*k**2 + 10*k + 10. Let w(d) = 5*p(d) - q(d). Find the third derivative of w(n) wrt n.\nAnswer: -5262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**4*n + 3*d**3*n**2 - 4521*d**3*n - 24*d**2*n + 401*n**2 wrt d?\nAnswer: -48*d*n + 18*n**2 - 27126*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.42943 minutes to milliseconds.\nAnswer: 5665765.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(4*(-9)\/96))\/(29\/29).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16367619?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 19. Let u be 2\/v - 55\/(-4). Calculate the greatest common divisor of u and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (11 + -2 + (-63 - -54))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8*5\/(-200))\/((-2)\/10). Let r be 5 - ((c - 4422\/(-1482)) + 1). Is 0 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6502702949?\nAnswer: 6502702949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 70924 * 3\nAnswer: 212772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8102 - 8047 - (116 + 1)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5*p**4 - 50*p**3 - 105*p**2 + 200*p + 500 = 0.\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/32*(-4)\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 w when three letters picked without replacement from {w: 6, g: 12}.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1252 (base 6) in base 4?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*h = 77 - 9, 36 = 2*r - 2*h. Let d(j) = -r - 12 + 3 + 11*j + 5. Is d(2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-30) + 14\/12. Sort o, 1\/4, -1.\nAnswer: -1, 1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 16*u**2 - 4*u + 7. Let v(i) = -28*i**2 + 7*i - 12. Calculate 5*n(q) + 3*v(q).\nAnswer: -4*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 13, -9 in descending order.\nAnswer: 13, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/61 in -4\/5, 0.3, -0.36?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/190 and 1\/72?\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -0.1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -491 + 988. Suppose 527 = b - g. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28*o**2*v**2 - 2*o*v**3 + 37*o*v + 20524*v**3 wrt o.\nAnswer: 56*o*v**2 - 2*v**3 + 37*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4, 3, -2 in ascending order.\nAnswer: -4, -2, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6785202351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2 - 47*y - 6. Let x be q(-23). Solve -x = -5*m - 2*u, 3*u - 2 + 24 = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7527065951.\nAnswer: 23, 59, 5546843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2564, 0, 13 in ascending order.\nAnswer: 0, 1, 13, 2564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 219731 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 334?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 1 (c) -6.1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6300\/1225)\/((-2)\/(-812)*-3). Which is smaller: x or -697?\nAnswer: -697","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 181947602 and 60.345.\nAnswer: 181947662.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -25, -2, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 1106 = -1084. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -56 + 42. Suppose -u*v = -12 - 44. Which is the second biggest value? (a) v (b) -4 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(95) - (1*sqrt(95) + sqrt(95))*3)\/sqrt(5).\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.306 + 19.806. Let r = 311554823 + -311554804.4999923. Let d = s - r. What is d rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, o: 3, r: 1}. Give prob of sequence roa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 1590\/(-759) + 152\/(-1748). Let i = -0.14 - -10.14. What is the second smallest value in p, -1\/10, i?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, e: 3, u: 3, o: 1, d: 2, g: 5}. Give prob of sequence od.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 4681994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2956157.3270287 - -2956158. Let s = -0.673 + c. Round s to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13476 and 380542026?\nAnswer: 6738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -522 and -509 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**6\/120 - b**4\/24 - b**3\/6 - 2*b**2. Let t = 1 + 0. Let j(q) = 2*q**3 - q - 1. Calculate t*j(v) - p(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**3 - 105076*y**2 - 8067136*y = 0.\nAnswer: -26192, -77, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 12*k - 8. Let p be u(-11). Suppose 5*o - p*x = 0, -7*x = -o - 8*x + 8. Solve 4*q = o*j - 0*j + 11, 10 = -5*q - j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10 + (-44)\/10. Let s be -1 - (2 - 2) - h. Let c be 22\/6 - (-2)\/(-3). Solve -2*y - s*j = -20 + c, 2*y + 4 = 4*j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 3*s + s + 3*s**2)*(-3*s - 11*s**2 + 3*s).\nAnswer: -33*s**4 - 22*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 6755*u**2 - 2243895*u + 25506855.\nAnswer: -5*(u - 11)*(u + 681)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33000 + 3?\nAnswer: 33003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfdg when four letters picked without replacement from vfdgg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 30994720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.13 + 9.57. Let z = 27 + -14. Let c = h - z. Which is smaller: 0.2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 889551.2 milligrams?\nAnswer: 889551200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 460 + 331 + k + 4 + (3 + 2*k - 3)*(3 + 4 - 5) + 0*k - 3*k + k in the form j + o*k and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00026689817 to 6 decimal places.\nAnswer: 0.000267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + m + 0)*(-m + 0*m + 0*m) + (-9*m + 11*m + 27*m)*(12 - 4 - m - 2).\nAnswer: -30*m**2 + 174*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53454669826.17288179 + -53454670374. Let n = z - -1146.82711284. Let s = n - 599. Round s to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 m when three letters picked without replacement from {s: 3, m: 11}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 1\/2*c**4 - 16*c + 1\/2*c**2 - 1\/6*c**3 + 0. What is the smallest common multiple of 20 and h(1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(891)*-3)**2.\nAnswer: 128304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 5*k - s + 41, 0 = 2*k - 5*s + 21. Let o = -28 - -20. Is k <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*k**5 + 2*k**4 + 1082*k**3 - 4*k - 11938 wrt k.\nAnswer: 320*k**3 + 24*k**2 + 6492*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 136*j + 408. Let b be y(-3). Solve -4*m + 16 = 11*h - 7*h, b = m + 4*h - 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 + 4*h - 3. Let s(z) = -z**2 - 2*z + 2. What is 4*b(r) + 7*s(r)?\nAnswer: r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 8. Let i(a) be the first derivative of 0*a**z + a + 1\/2*a**4 + 0*a**2 + 2. What is the first derivative of i(n) wrt n?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + p = 21, -w + 204 = -59*p - 67*p + 56*p for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4 + 19 - 18 - u + 1. Determine a(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 12 = 4*x, 33*x - 15 = 38*x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 16810.\nAnswer: 184910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 44 = -0*r. Let h = -25 + r. Let d be 12\/(-42) + (-46)\/h. Solve -10 = 2*y + d*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1025600 divided by -80\nAnswer: -12820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-139)\/(-176) - (2\/32)\/(502 + -501).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = n + q - 4, -4 = -2*q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 7 - (-1 + -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-252)\/(-48))*(6270\/40)\/(-11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2411\/286 + -96\/13. Let m = 249 + -4525\/18. Find the common denominator of m and o.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d + 24. Is 20 a factor of q(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-742)\/53)\/(3\/(6813\/(-6))) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 845466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6489071 to the power of 1\/2, to the nearest integer?\nAnswer: 2547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34019 is divided by 11328?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - a - 3*t - 30 = 0, t - 30 = 5*a. Let k be (-3)\/a*(-30)\/3. Put 0, k, -2 in ascending order.\nAnswer: k, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8459667 is divided by 148415?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1426885.3278 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3070741824 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 5*b**2 - b. Suppose -12*w + 239 = -1249. Let l = -66 + w. Let d = l - 63. What is t(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 24, 3\/5, 12 in ascending order.\nAnswer: -5, -1, 3\/5, 12, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 584504142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 34*c + 3*r, -254*c + 258*c - r = 18 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbakbbb. What is prob of picking 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -27. Let h be 1*k*-2*(-6)\/8. Calculate the remainder when ((-2)\/(-9) + 1286\/h)*-2 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence doef when four letters picked without replacement from fofecdf.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 9 = -5*i, -3*i - 5*k = -0*i + 13. Let u = -3 - i. Suppose 0 = 2*a + 2 - 0. Put a, u, -4 in decreasing order.\nAnswer: a, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4712 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, -47, 0.14, -3\/8?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**4)*k**(-5\/6)*k)\/(k**(2\/5)\/k*((k**(-2\/15)*k)\/k)\/k)*((k**0)**(-32))**43 assuming k is positive.\nAnswer: k**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3889*o + 3740 with respect to o.\nAnswer: -3889","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10605435.\nAnswer: 3, 5, 707029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/2 - -1*1. Let d(s) be the second derivative of s**3\/6 + s**2\/2 + 15*s. What is the units digit of d(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -81, -107, -133?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 13. Suppose -v + 125 + 181 = w. Suppose 10*b - v = b. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/544374 and -91\/5860026.\nAnswer: 99620442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - c - 13 + 14, -c + 1 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**3 + 3*x**2 + 8*x - 4. Suppose 0 = -4*q + 2267 - 2279. Let m(n) = -2*n**3 - 3*n**2 - 7*n + 4. Let j(l) = q*o(l) - 4*m(l). Calculate j(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from ssynynynyynssnnn.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2207694 to the nearest integer?\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1578 by -6.\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 - 1013772*w**3 + 4*w**2.\nAnswer: -1013772*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.8 + 2.8. What is the third biggest value in 5, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 7*n + 0*n)*(-2*n + 2*n**4 + n**4 - 2*n**4)*(-2 + 1 - 1).\nAnswer: -8*n**5 + 16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-4) - (35\/20)\/7. Suppose -r*w = -33 + 25. Solve 32 = 3*g - w*x, x = 5*g - 2*x - 35 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 z, and 1 c when three letters picked without replacement from {z: 1, k: 2, n: 4, c: 1, i: 4, b: 8}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1001 - 220?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -7*v**3 + 1. Suppose 5*q - 17 = f, -2*f + 2*q + 30 = 3*f. Suppose f = 5*a + 3. Calculate k(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 667 - 175. Suppose y + 163 = t + 83, t - 2*y - n = 0. Let a = 77 + 3. Which is smaller: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-412)\/515)\/((-156)\/(-10))\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/2 and 408 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*5*sqrt(108)\/sqrt(4)*2)\/(5*(sqrt(144)*2 - sqrt(144))*4).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24102 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 153377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 684871 to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 + 5. Let x = -3 + s. What is the closest to 0 in -2\/11, x, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23143841 is divided by 635?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 18 (b) -0.1 (c) -70 (d) 5 (e) -0.6 (f) -0.2 (g) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 27863?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 62, 316, 746, 1358, 2158, 3152, 4346?\n\"Answer: v**3 + 82*v**2 + v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29401328 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**4 + 0*r**4 - 2*r**4)*(-2 + 1 - 6).\nAnswer: 14*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 3*c + 20. Let n be f(-3). Solve 4*w + 4*h + 24 = 0, 0*h = 3*w + n*h + 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/45*-24)\/(24\/108). Solve -5*s - 4*b - 29 = 0, s - r = 4*s - 3*b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*b**2*l - 401*b**2 + 1893*b*l**3 - 26139*l**3 + 385*l**2 with respect to b.\nAnswer: -18*b*l - 802*b + 1893*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 80, 382, 922, 1724, 2812?\n\"Answer: 4*i**3 + 95*i**2 - 11*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 507422.9l to millilitres.\nAnswer: 507422900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 1:16 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 4*o - 2. Suppose 0 = 3*j + o*j - 100. Calculate the remainder when j is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (0 + -2 + 11 - (-164 - -208))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*o + 878 = 2*o, 5*c - 2202 = -3*o. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 608.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 101 + -96 - (12 + 1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-42)\/9 - -4)*78\/(-156). Factor -o*b**2 + 13\/3*b + 0.\nAnswer: -b*(b - 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111110001100 + -100101110?\nAnswer: -100000010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26602 (base 13) to base 3.\nAnswer: -10121211111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1281067\/1677096 - 2\/69879. What is the common denominator of -163\/180 and q?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6\/19 + 31\/38. Let u = 335 + -3683\/11. What is the closest to 0.1 in n, -2\/15, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8866891 kilograms to grams.\nAnswer: 886.6891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 238 - 10. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -r + 8, 53*i = -r + 54*i - 7. Let s(g) = -g**2 + 5*g + 2. Let w(b) = 3*b**2 - 11*b - 5. Calculate r*w(n) - 5*s(n).\nAnswer: -n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - -22.97. Let q = 23.0000051 - d. What is q rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.654 + -38.046. Let x = -38.69999426 - k. What is x rounded to seven decimal places?\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from lrrff?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + -1)*5\/(-4). Let q(u) = u**3 + 5*u**2 - 3*u - 5. What is the units digit of q(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -7 - 8. Let a = -775 - -798. What is the remainder when a is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -893700 and -893704 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -194 + 194. Let h(t) be the third derivative of 0*t**4 + k*t**3 + 11*t**2 + 0 + 0*t + 1\/60*t**5. Let j(n) = 13*n. Give h(j(r)).\nAnswer: 169*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8544.71 micrograms?\nAnswer: 8544710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.4, 5, 3\/2, 7.3, -2\/17?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -187, -325, -353, -205, 185?\n\"Answer: 11*p**3 - 11*p**2 - 182*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -31. Let z(c) = 196*c**2 + 2*c + 1. Let o be z(h). Let u = o + -104. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/5651 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/22 - (-106 + 109) - (-6 + (-26)\/(-4)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*(r\/(r\/r**(-2\/5))*r)\/r))**(10\/11)*r**(-3\/7)\/(r\/(r**(2\/7)\/r*r)))\/((r*r\/(r*r\/r**0))**37)**(-41) assuming r is positive.\nAnswer: r**(-60\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**8\/1176 + h**7\/147 - h**6\/210 - 4*h**5\/105 + 3640*h**2. Let a(l) = 0. Calculate l.\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 + 11.9. Let y = i + -9. Let q = 0.1 - 0.1. Which is greater: y or q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1631 + 1c?\nAnswer: 164d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 7. Suppose -5*d - 5*h = -180, 117 = z*d - 9*h + 4*h. What is the greatest common divisor of 22 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (53 - 80 - (5 + -1 + -5))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqqcqqmiiq. Give prob of sequence iicm.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*4*-2 - (sqrt(117) + -3*sqrt(117) - sqrt(117))*-5)\/(-2*sqrt(288)\/sqrt(2)*6).\nAnswer: 23*sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 1. Suppose -2*o = 4*f + 6, -2*f = 3*o + 2*o + 23. Let g(s) = -4*s + 7. Let m(t) = 5*t - 11. Let p(v) = -3*g(v) - 2*m(v). What is f*p(i) - 2*n(i)?\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 415, 414, 413, 412, 411?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -43*k - 8. Let p(r) = 38*r + 8. Give -6*p(j) - 5*s(j).\nAnswer: -13*j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**4\/12 - b**2\/2 + 1. Let h(l) be the second derivative of g(l). Let q(u) = -5 + 4 + 1 + u. Calculate q(h(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 120785 - 26407 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000110111001111 (base 2) in base 14?\nAnswer: d331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 12*v**3 - 5*v.\nAnswer: -12*v**3 - 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17, -23, -39, -71, -125, -207, -323?\n\"Answer: -j**3 + j**2 - 2*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 275 = 6*x - 5*d, 4*x = 4*d + 364. Let y be x\/(-115)*5\/15. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 599 + -594. Suppose -54 = 3*z - 5*s - 141, 0 = o*s + 15. What is the highest common divisor of z and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.254078181 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 + 14*o - 53. Let y be k(3). Let z(t) = t**2 + 7*t - 9. Let p be z(-7). Let r = 11 + p. Solve 5*g = -r*v + 16, -2*g = v - 5*v - y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*p*s**3 - 2*p*s**2 + 636*p + 187662*s**3 - 2*s**2 wrt p.\nAnswer: 5*s**3 - 2*s**2 + 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -351*p**3 - 14*p**2 - 12*p + 7. Let u be d(11). Round u to the nearest ten thousand.\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwawaawwwwwwwww. What is prob of picking 1 a and 2 w?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + (-2 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1549479 by 15.\nAnswer: 516493\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(405\/(-600)) - -12)\/(8\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*g + 95 = 0. What is the greatest common factor of 38 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 240166*y**3 + 232672*y**2?\nAnswer: 1440996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + -14. Let m = j + 21.9951. Round m to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 342.4 - 343.4. What is the fourth smallest value in f, 4, -3\/4, -1\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -138806062 and 3?\nAnswer: -416418186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 55813*i - 223245. Calculate z(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 38*f**2 + 320*f + 162. Determine k(25).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 5 + (-4 + 5 + 0)*(2 - 4 + 3))*(-2 - 5*t**2 + 12*t**2 - 2*t**3 - 6*t**2) - 2*t**3 - 3*t**3 + 2*t**3.\nAnswer: -7*t**3 + 2*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6820 and 6160?\nAnswer: 190960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -488*u - 5*u + 217*u - 424*u.\nAnswer: -700*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 11:46 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 6 = -2*z, -117*z - 8 = -a - 47*z - 72*z - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-6))\/(28\/(-588)). Is (-2)\/(o\/2) + (-1084)\/(-7) 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 1290145, 1290149, 1290153, 1290157?\nAnswer: 1290161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -401*u - 12. Let p be y(-22). What is p rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -21265970298.6?\nAnswer: 21265970303.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5\/113 - -93\/452. Factor -1\/2*w**2 - 1\/4*w**3 + 0 - a*w.\nAnswer: -w*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 10*c + 20 + 36 - 85. Let y be l(7). Suppose -87 = -3*k + 4*u, -2*k - 2*u + y = u. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((60\/29 - 2) + 376107\/(-2659329))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 5:32 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7013?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-9)*p))**(10\/11) assuming p is positive.\nAnswer: p**(-100\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122303031 (base 5) in base 6?\nAnswer: 130243544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274453482 - -0.12.\nAnswer: -274453481.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 4*i = -55387 + 55368, 15*i = -5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 7:47 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g - 1. Let y be u(-4). Suppose 0 = -q + h + 2, 0 = -q + y*q + h + 2. Suppose q = p - k, -10 = p - 4*p + k. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k + 9. Let t(l) = -16*l + 18. Let w(h) = -11*d(h) + 6*t(h). Let p(v) = v - 1. Let x(i) = 18*p(i) + 2*w(i). Let u(j) = -2*j**2. Determine u(x(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + (-28 - -24) + -3 - -20.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 10:14 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27150 (base 8) to base 3.\nAnswer: -121022000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 595 + -118. Let d = -320 + a. Let y = 155.62 - d. Round y to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven quarters of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 2*v - 16 = -12, -4*v - 8 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 243117 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1142549?\nAnswer: 1142549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3544 <= 3545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 2 (c) -3 (d) -1\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 8*a**2 + 42*a + 1. Is y(-6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7000\/(-2975) - (-12)\/34?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4\/7 + 340*h**3\/7 - 9396*h**2\/7 + 77372*h\/7 + 195112\/7.\nAnswer: -4*(h - 29)**3*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -3.5. Let g = 1.5 - j. Sort -3, 0, g in decreasing order.\nAnswer: g, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*s**2 - 4*s - 1097 + 1097.\nAnswer: -21*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 2*l + l - 3 + (-13 + 3 - 3)*(-1 + 1 + l).\nAnswer: -14*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/10 - 18\/(-10). Suppose 5*j = -3*p + 30, 0 = 2*j + c*p + 7 - 23. What is the second derivative of -2*u**2 + 4*u - j*u + 0*u**2 wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35152322 (base 6) in base 2?\nAnswer: -100001001100110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 926834, 0.5, 3 in increasing order.\nAnswer: 3\/8, 0.5, 3, 926834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.19 + -2.002. Let h = 0.088 - o. What is h rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64617 divided by 3801\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -15. Suppose -2*h + l = 2*f, h + 2*f = -f + 12. Suppose h*d + 15 = 3*d. Let z(p) = p**2 - 6*p + 6. What is z(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/33 and 41\/34107689?\nAnswer: 102323067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/17, -0.4, -39.3, 41?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-3)*10\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -501, -5, -45 in descending order.\nAnswer: -5, -45, -501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25508830, -25508829, -25508828, -25508827, -25508826?\n\"Answer: m - 25508831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127899335?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**4\/12 + 103*g**3\/6 - 105*g**2 + 104*g. Determine u so that x(u) = 0.\nAnswer: -105, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2622 and 433067?\nAnswer: 2598402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 8*r - 2*r. Suppose 20 = -5*a + r. Which is greater: -10\/7 or a?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*u + 23*u - 5*d = -4285, 0 = 4*u - 2*d - 3428. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/587574 and -23\/113724.\nAnswer: 3525444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -1\/2*m**3 + 3*m + 7\/90*m**6 - 1\/3*m**2 + 3\/20*m**5 - 5\/36*m**4 + 0. Suppose k(l) = 0. What is l?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275675097 to the power of 1\/6, 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 2 l when two letters picked without replacement from {l: 2, s: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 4:04 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 253\/1005 + 70\/201. Is 20 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 88*g = 90*g, 3*b = -g. Put -5, 7, b, 2 in increasing order.\nAnswer: -5, b, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 251 - 247. Let i(u) = 2*u + 6. Let f(y) = y. Let s(w) = -6*f(w) + i(w). Determine s(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 227758 divided by -435\nAnswer: -227758\/435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -843242*g + 843242*g + g**3 + 0*g**3 - 1 + 0 - 6*g**3.\nAnswer: -5*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74 - -150. Calculate the highest common factor of 722 and k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -13.21414 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 + 2*a**3 - 4*a**3)*((2*a - 5*a + 0*a)*(-9 + 0 - 3) + 5*a - 4*a + a).\nAnswer: -38*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 126 - 334. What is the lowest common multiple of 81 + -90 - (-60 + -1) and m?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - -2*5\/4. Suppose 0 = -q - 0 - 1. What is the closest to q in x, 2\/15, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 111*n**2 - 1400*n + 645. Determine f(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101101 (base 3) to base 13.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 8:56 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a meter in millimeters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/8126141 or -1?\nAnswer: 12\/8126141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - -1 - 75\/(-10)*-22. Let w = m - -165. Calculate the remainder when w is divided by (-16)\/(-6) - (-2)\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**5 + 12150*n**3*r**2 - 22*n*r**2 + 5*n*r + 124*r**2 wrt n?\nAnswer: 20*n**3 + 72900*n*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 10:26 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22472\/2 + (24 - (-330)\/(-11)). What is b rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 0.3, 0.2, 1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100112 - 1?\nAnswer: 1100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -23391 divided by 69?\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4915712 - i**2 + 0*i**2 - 1048687.\nAnswer: -i**2 - 5964399","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 26*z**2 - 37*z - 27. Let g be f(-27). What is the highest common factor of 27 and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(112))**2 + (6*sqrt(63) - sqrt(7))**2.\nAnswer: 2471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - m**5 + 1 - 10*m**4 - 6*m**5 + 10*m**4 + (-3 + 5 - 1)*(0 + 2*m**5 + 0).\nAnswer: -5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cp when two letters picked without replacement from ckwpcp?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-4)*(-16)\/8. Suppose -b*a + 2*a = 0. Suppose 4*t - 3*j - 21 = a, t + 4*j = -t - 6. Solve -t = 2*g + 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 + 338*q\/3 - 28561\/3.\nAnswer: -(q - 169)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 12. Let y be ((-3)\/(-5))\/((-4)\/5). Suppose -2*q + 2*h - 5*h + 10 = 0, -3*q + 5*h = 4. What is the closest to t in q, y, -1\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -110, -148, -180, -194?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 221297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, u: 3, z: 2}. What is prob of picking 1 z and 3 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*(m\/(m*m\/m**5))\/m*m)\/m*m*m*m**10*(m**(-1))**(-43))**(-23) assuming m is positive.\nAnswer: m**(-1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -4180 in ascending order.\nAnswer: -4180, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 22096.73km?\nAnswer: 22096730000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 82.25028 days?\nAnswer: 7106424.192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/25)\/m)\/(m\/(m\/(m\/((m\/((m\/(m**24\/m))\/m))\/m*m*m))*m))*(m**(-2\/9))**(1\/20) assuming m is positive.\nAnswer: m**(10759\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + 2*sqrt(45)*-3)\/(sqrt(36)\/(-2*sqrt(4) + sqrt(4)))*3)**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suu when three letters picked without replacement from {s: 7, o: 4, u: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -73\/5. Let o be 1\/(-2) + -1 + 1. Which is the nearest to -1\/5? (a) o (b) 0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 23*h - 15. Calculate b(5).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2388 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 62273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 81*u**2 - 712*u - 86. Determine v(10).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37937638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5a27c - 2?\nAnswer: 5a27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59664 or -1\/30?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 73140 divided by -24380\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/353? (a) 22 (b) -2\/3 (c) -309\/11 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 + -36. Suppose h + 0 = 4*i. Solve -i*a - 2 = -18 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 30 - 10 = 0. Let k = -1 - 2. Sort a, -3\/5, k in decreasing order.\nAnswer: -3\/5, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2127818\/13 less than or equal to -163677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 378752942 and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -7*w**5\/20 - w**3\/2 - 10*w. What is the second derivative of j(b) wrt b?\nAnswer: -42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 748296 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3256 and 9636.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 + 4*s. Let o = -53 - -62. Suppose 0*h = -2*p + 5*h - 6, 3*p + h = -o. Let j(f) = -f**3 - 2*f**2 + 3*f. What is p*j(b) + 2*i(b)?\nAnswer: 3*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*y - y - 3*y)*(-2 + 4 - 3)*(-25 + 6 - 3) as k*y + i and give k.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2499\/11 - -227. Let o = -19\/44 - l. Let k = 53\/4 - 269\/20. Which is the third biggest value? (a) 5 (b) o (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 958043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 11875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*c**6 - 76037*c**3 + 1532*c**2 - 454?\nAnswer: -2640*c**3 - 456222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -15\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 0 + 0)*(-46*v**2 + 99*v**2 + 13 - 50*v**2).\nAnswer: 6*v**3 + 26*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3930410675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -480*x + 156. Let c(s) = 28*s - 9. Let n(r) = -104*c(r) - 6*u(r). Let g(d) = -17*d. Calculate n(g(f)).\nAnswer: 544*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2441 - 13?\nAnswer: -2454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24382701 and 567.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-nine quarters of a millennium?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1222818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 58466?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17 - 403.87.\nAnswer: -403.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 v when four letters picked without replacement from vhyyvvhvhvyhh?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*f**4 + 15*f**3*g*y - 296*f**3*g - 2*f**3 + 204*f**2*g*y - 2*f**2*g - 277*f*y + 2*g wrt f.\nAnswer: -600*f + 90*g*y - 1776*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.25 - -0.14. Let x = i - -0.21. What is the third smallest value in 0.3, x, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23436 - 305478\/13. Which is smaller: o or -61?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**2 + 0*i**2 - 2*i**2 + (0 + 0 + 2*i)*(0*i + 2*i - i) - 2*i + i**2 + 2*i - 3*i**2 + 2*i - 2*i + 3*i**2 + 2*i**2 - 2*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.3, 2\/17, 3, -1293, 1.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -33. Calculate the remainder when 81 is divided by 194\/7 + (-10)\/k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1598*s - 70835 = 5869 for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 480\/(-14) + (-2)\/(-7). Let z = i - -39. Suppose -4*p + 275985 = -0*p + z*k, p = -2*k + 68994. Round p to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -229 at most as big as -230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + 4 + (-1 + sqrt(500))**2 + -3 - (-3*3*sqrt(500) + -5 + (sqrt(500) - (sqrt(500) + sqrt(500) + -1 + sqrt(500))))**2).\nAnswer: -60006 - 900*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1034*r**5 - 38*r**5 - 15*r + 1258*r**5 + 128 wrt r.\nAnswer: 45080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59\/((-322966)\/(-184))*2\/((-12)\/21).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -988 = 243*o + 254*o + 12431 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-6) - -2) + (-8)\/3. Calculate the least common multiple of ((-1)\/2)\/((-3)\/54) and -1 - ((-2 - 2) + -14) - d.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 8*v**2 - 11*v - 32. Let k be o(-7). Let t be (-40)\/(k\/(-2388)*3). What is t rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1923, -1961, -2061, -2253, -2567, -3033?\nAnswer: -3681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 46 - 40 - (0 - -13)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.141 times -34131\nAnswer: -4812.471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.29 + 0.79. What is the second biggest value in -4, b, -6, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 - -1. Let z = -1227.1 + 1227. Which is the third biggest value? (a) v (b) 3 (c) z (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -7. Suppose 3*h - 5 = 5*q, 5*h = -q + w + 18. Suppose 0 = 4*p + 2*d - 268, -4*d - 283 = -h*p + 65. Is 34 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1814.18458928609 from -0.3.\nAnswer: 1813.88458928609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.214 - 166351270?\nAnswer: -166351270.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2991)\/13958*14\/(-9). Factor 169*g + 2197\/3 + 13*g**2 + v*g**3.\nAnswer: (g + 13)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 72*f - 703. Suppose 81 = -5*l + 8*l. What is the remainder when n(57) is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 958069 and 582?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*j - 55, 0 = -4*j + 2*x + 56 + 8. Let a(y) = -y**2 + 30*y - 10. Let s be a(j). Suppose -4*t + 8*r + s = 3*r, -2*r = 5*t - 305. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42340 = 3*p - 45395. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486607472 divided by -243303736?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 1230 in descending order.\nAnswer: 1230, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -44100459 and -44100461 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1737 - -1735. Which is the biggest value? (a) 5 (b) s (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - l - 95 = -324, -2*l - 142 = -2*w. Suppose 0 = 3*b - 9 - 6. Suppose -b*v + 2*p = -w, 5*v + 0*p - 60 = -p. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -369\/176 - -35\/16. Let q = 395\/9 - 44. Let j = -113 + 108. Sort j, q, v in descending order.\nAnswer: v, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 206.95?\nAnswer: 197.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 19*p + 318. What is y(-17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -747*u - 1616. List the prime factors of o(-10).\nAnswer: 2, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5363?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*j - 49*j**3 + 36*j + 14*j**2 + 26*j**3 + 26*j - j**4 + 323*j**3 in the form r*j + p + x*j**2 + y*j**3 + s*j**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 10. Let b = 5 + -4.55. Let s = 0.05 + b. What is the biggest value in z, s, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*o**2 - 509*o + 2*o**4 + 0 + 509*o + 4*o**3 as k*o**3 + s + g*o + l*o**4 + m*o**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1539 - 813. What is the remainder when o is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-32))\/(-8*40\/640)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k = -u + 8, -4*u - 3*k = 3 - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 284890 and 81530.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -28 and -5636970?\nAnswer: 5636942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 - 14. List the prime factors of o.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -578007.21 to the nearest one thousand.\nAnswer: -578000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 65\/35*7.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 182 and 78.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/202 and 149\/6.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1961*r + 1946*r = -120 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -28*a. Let f be q(-3). Let s(i) = -4*i. Let k be s(-3). Calculate the greatest common factor of k and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10381 and 62286?\nAnswer: 62286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245158.3us to milliseconds.\nAnswer: 245.1583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15572 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: Let r = -437 - -436. Calculate the smallest common multiple of (-2 + 38)\/4 - (r - 2) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 6 = -6*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 241, 241, 239, 235?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 - 29*u**2 - 15*u - 9. Let c be z(15). Let k(r) = 110*r - 30. Let h be k(c). Round h to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -250, 1, 4, 3\/5, 0.2, 1\/12, -1?\nAnswer: -250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -37, -47, -31, 17, 103, 233, 413?\nAnswer: 649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)*z)**28\/(z*z\/(z*z\/(z*z**(3\/10)\/z)*z)*z**1\/z) assuming z is positive.\nAnswer: z**(-273\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1\/2, 0.3, -74, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/1150 and 181\/60.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -39, -2, 0 in descending order.\nAnswer: 1, 0, -2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-10) - 5\/2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.21 - 0.47. Let b = 0.8 - -2.2. What is the second smallest value in b, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6166.147 tonnes in nanograms?\nAnswer: 6166147000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/12*6\/4. Suppose 3 = 9*p - 6*p. Is p > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 37*f + 336. Let i be l(18). Let r(v) be the second derivative of -v**4\/12 - 5*v**3\/6 + 4*v**2 - v. Give r(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6 = 0, -4*z - m = 2*m - 29. Suppose 0 = l - z*c - 268, -2*l + 6*l = 5*c + 1117. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**8\/60480 - n**7\/3780 - n**6\/720 - n**4 + 11*n. Let x(z) be the third derivative of q(z). Factor x(s).\nAnswer: -s*(s + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 3184111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*l**2*m*r + 8*l**2*m*u + 2*l**2*r*u + 6*l**2*r - 26*l**2 - 4*l*r + 248*m*r*u - 6*r*u wrt m?\nAnswer: 7*l**2*r + 8*l**2*u + 248*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*l + l - 21 = 0, 4*l - 1 = -3*v. Let r(f) = f + 3. Calculate r(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 8) to base 13.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 10*w - 27. Let j be k(6). Sort 4, 5, j in descending order.\nAnswer: 5, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 6155 = 33335. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j**2 + 3*j**2 - 6*j**2)*(4 + 7 - 6)*(-1 - 10 - 9) to the form a*j + w + c*j**2 and give c.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 4*j = 11*j + 77, -5*s + 4*j = -56 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 58?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -482\/4463 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4092942 and 5586.\nAnswer: 28650594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 885*c**2 + 692.\nAnswer: 1770*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 6 - 3)*(2*q - 8*q**2 - 2*q)*(2*q - 3*q + 2*q) + 0*q**2 + 0*q**2 + 2*q**3 in the form d + v*q**3 + x*q + b*q**2 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m. Let v be l(-3). Let s(x) = x + 4*x - 4*x**2 + 0*x**3 + 7 - x**v. Is s(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + 3*-2*((-2 + sqrt(2299) - sqrt(2299)) + 1))*3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*v - 105*v + 58*v - 1 to k*v + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8f896 (base 16) to base 15\nAnswer: -b9301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6308, 6338, 6392, 6476, 6596?\n\"Answer: y**3 + 6*y**2 + 5*y + 6296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 + 19. Let z(b) = -3*b - 87240. What is z(d(h))?\nAnswer: 9*h**2 - 87297","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/30*1 - (-370)\/(-50). Let p(z) = -z**3 - 8*z**2 + 5*z + 8. Determine p(k).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -38) + 0 + 3. Let i = d + -57. Let s = 20 + i. Solve 4*j - 7 = -s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105, 2\/11, -0.8, 745.2.\nAnswer: -105, -0.8, 2\/11, 745.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/3534 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 54?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2. Suppose m - 4 + 2 = 0. Let i(b) = -2*b**m + 7*b**2 - 7*b**2. Determine i(p(u)).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106096 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 826 and 14986.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5523, -18886, -32249, -45612, -58975, -72338?\nAnswer: -85701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, 16, -0.1, 4\/5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18108 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**7\/420 + 3*r**6\/40 + 27*r**5\/40 - 609*r**2. Factor k(h).\nAnswer: h**2*(h + 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*z = -43*z + 6714. Suppose 5*w = 25, 4*w = n + z - 4715. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*n + 32. Let l be (-21)\/(-28) + 2\/n*-1. Which is the second biggest value? (a) -1\/22 (b) l (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4724*l = -4567*l + 5024 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 837 and 16142?\nAnswer: 13510854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144 + -144.656. Let b = g + 0.7. Round b to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 14380528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**3 + g**2. Let m be o(1). Suppose -m*t = -15 + 5. Suppose 280*h + 322*h = 221*h + 3048. Calculate the greatest common factor of h and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 251420 and 410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**5\/20 + f**4\/2 + 5*f**2. Factor i(t).\nAnswer: -3*t*(t - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0 + 2. Let w(q) = q + 3. Let f be w(0). Suppose 6 = -f*k, c - k = -2*c + 5. What is the remainder when c is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -3) + -1 - (9 - (15 - 16))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 3*b = -41, -6765*b - 5 = 10*c - 6760*b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g - 11. Let t be u(-8). Suppose 0 = 2*k + t - 47. Suppose -5*n + k - 1 = 0. Which is the second smallest value? (a) n (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 92*v**3 - 60*v**2 - 368*v + 240.\nAnswer: 4*(v - 2)*(v + 2)*(23*v - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3892 and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406.4 + -3357.35?\nAnswer: -1950.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2*1)\/((-228)\/291). Let p = 847627 + -80525558\/95. Let z = d + p. What is the common denominator of -37\/18 and z?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160082?\nAnswer: 2, 13, 47, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1189254901 = 46*w - 1261165099. Suppose -158*f + w = -165*f. What is f rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 674550 is divided by 224578?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 453003477 - 5.\nAnswer: 453003472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 72. What is the greatest common divisor of 130 and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 110 = 2*b, 3 = 5*b + 8. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/320 and -55\/540808.\nAnswer: 21632320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 340758 to the power of 1\/2, to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81097 + -50611. What are the prime factors of h?\nAnswer: 2, 3, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -327 + 330. Suppose -f = 165*a - 166*a. Solve 13 = a*p - 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 12:01 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 6:37 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 14*r**2 - 9*r - 6. Let b(p) = -15*p**2 + 10*p + 6. Let k(h) = -4*b(h) - 5*f(h). What is the tens digit of k(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199*-3.313.\nAnswer: -659.287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 6*i. Suppose 4*f + i*f = -s + 20, 5 = f + 4*s. Find the second derivative of -3*d**f + 2*d + 2*d**5 + 6*d**5 + 2*d**5 wrt d.\nAnswer: 140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114476887 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + sqrt(304).\nAnswer: -3 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 569 or -1169?\nAnswer: 569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133715, -133720, -133727, -133736, -133747?\nAnswer: -133760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 + 2*q**2 + 34*q**2.\nAnswer: 31*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1684*x - 5577 wrt x?\nAnswer: 1684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/5)\/(13\/(-195)). Suppose 3*x - 3 = w. Suppose -x = m - 3*u + 7, 0 = 2*m - 2*u + 38. Is m != -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 691328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004694 rounded to six dps?\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 15*w**2 + 56*w + 5. Calculate p(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 3. Suppose -3*o + v*o - 21 = 0. Let u = 24 + 1. Calculate the remainder when u is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17*120\/(-304980))\/((-14)\/91)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 * 43583.66\nAnswer: 523003.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 1 + 3. Let r(t) = -7*t**3 - t + 5*t + 1 - 2*t. Give r(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**4\/4 - r**3\/3 - r - 9. Let k(n) = 2*n**3 - n**2 - 1. Determine -2*k(t) + 2*l(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 12397 = 6962. Let t = -64547\/30 + z. What is the common denominator of -7\/22 and t?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-6)*y)\/y)\/y)**(-43)\/(y**(-8)\/(y\/(y*((y*y**(-5)*y*y*y)\/y)\/y)*y)) assuming y is positive.\nAnswer: y**270","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -106\/3. Is z greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(22))\/sqrt(11) - 5*(sqrt(50) + sqrt(2) + sqrt(2)))*3.\nAnswer: -111*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + 0*a**3 + 3*a**3)*(-a**2 + 1 - 1) - 2*a**5 + 0*a**5 + 4*a**5 + 1419*a**5 + 154*a + 170*a - 474*a + 150*a.\nAnswer: 1420*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72*x**5 + 20*x + 3 wrt x.\nAnswer: 1440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 17*c**3 + c - 1. Let n be y(1). Suppose 0 = 3*t - b - 29, n + 11 = 4*t + 4*b. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((4 + sqrt(1331) + 1 - sqrt(1331) - sqrt(1331))*-6)**2 + -5 + -5 + -4.\nAnswer: -3960*sqrt(11) + 48805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4 = 0, -2*t - 82 = 4*r - 18. Let s = -62 - t. Let f = 111 + s. List the prime factors of f.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3426 and 71508614.\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 greater than or equal to 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 153875098 plus -2392?\nAnswer: 153872706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*s - 81*s + 47*s + 66 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 178581 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (37\/5)\/(2\/3) and -2 - ((-17)\/(-3) + 3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 12) to base 15\nAnswer: 5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75946, 151880, 227820, 303766, 379718, 455676, 531640?\nAnswer: 607610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*r - 4 = 8, -2*k + 2*r = 12. Let a(n) = 2*n**3 + 2*n**2 + 2*n + 3. Let s be a(k). Is 2127\/27 - 2\/s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - (-3 + (-45 - -55) - -12).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 - 15*m**2 - 14*m + 13. Give c(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10284 divided by -2571\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -150 or 228?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 200703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 1, 248.\nAnswer: 1, 3, 5, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 6*h**2 + 2*h - 2. What is the remainder when i(4) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yp when two letters picked without replacement from {b: 1, p: 4, y: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*z + 5*k = 91*z - 99030, -2*k = -12. What is the thousands digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-1) + 1)*-5. Let j = -216 + 220. Sort 2, o, j in ascending order.\nAnswer: 2, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.6? (a) 35 (b) 1 (c) 5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*a = -2*k - 30, 0 = -4*a + 2*k + 26. Suppose a*t - t - 9 = 0. Is t*-1 + (-3 - -32) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*h*s**2 - 10216*f**2*h - f**2*s + 11*f**2 - 5*f*h*s + 24*f*s**2 + 2*f*s + 1552*s wrt f?\nAnswer: 2*h*s**2 - 20432*h - 2*s + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44524 * 2.\nAnswer: -89048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 6. Determine x(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-7))\/2*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 11, 2\/29, -6\/5 in descending order.\nAnswer: 11, 2\/29, -0.2, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 0*y - 1\/10*y**6 + 0 + 5\/8*y**4 + 1\/10*y**5 + 57*y**2 - 1\/112*y**8 - 2\/35*y**7 + y**3. Find q such that i(q) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58562*0.3\nAnswer: -17568.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -6590984 not equal to -6590991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-28)\/21) - 1\/(-2). Put x, 5, -5 in descending order.\nAnswer: 5, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 6*t**2 - 3*t + 8. Let s be g(-6). Let i(y) = 3*y**2 - 26*y + 73. Let l be i(3). Suppose l*o = s*o. Is 2\/9 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 4*y + 5. Determine c(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhsh when four letters picked without replacement from {s: 6, h: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 2126866490 = -2369161575 - 3597891935. Round y to the nearest one million.\nAnswer: 506000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**33\/m)**(2\/27) assuming m is positive.\nAnswer: m**(64\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000137848 to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 128710 < 128712?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -38.0433, -1, -0.039?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.12 - 0.52. Put 4\/5, -4, z in increasing order.\nAnswer: -4, z, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.24 (b) -0.1 (c) -1\/3 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 15 = 2*j - 3*j, -4*j - g = -15. What is the nearest to -1 in 0.2, j, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - h + 2*h = 11, q - 25 = 5*h. Let u(c) = -c + 3. Let r be u(6). Sort q, r, 1.\nAnswer: r, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2)*2*11. Let s(m) = 155 + 5*m**2 - 342 + 89 + 92 + 8*m. Let l(a) = 2*a**2 + 3*a - 2. Let u be 1 - (-2 - -1*7). Determine r*l(w) + u*s(w).\nAnswer: 2*w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 417*t**3*x**3 + 15*t**3*x + 12*x**2 wrt x?\nAnswer: 2502*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242903.\nAnswer: 23, 59, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8641108.4023 + 3.7.\nAnswer: -8641104.7023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15789476309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1099, -2231, -3379, -4543, -5723, -6919?\nAnswer: -8131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6133.\nAnswer: 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -62725580?\nAnswer: 313627900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (40\/(-32))\/((-63)\/12 + 5). Solve -5*t + 5*g = 15, -t - g = -0*g - u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41703270913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.18 + -0.08. Let d = -2.984 - 0.016. What is the closest to 1\/4 in 1\/3, s, d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5150*z + 2*z**2 - 2572*z - 6*z**2 - 2578*z. Let b(g) be the third derivative of 0*g**3 - 1\/30*g**5 + 0*g**4 + 0 + 0*g - g**2. Calculate b(s(h)).\nAnswer: -32*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8407, -8441, -8465, -8473, -8459, -8417, -8341, -8225?\nAnswer: -8063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.124949 litres to millilitres.\nAnswer: 124.949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5 - 1. Let o(g) = -g**3 - 6*g**2 + 6*g. Let l(c) = c**2 - 1. Let s(b) = 3*b**2 + b - 4. Let v(a) = -4*l(a) + s(a). What is p*o(i) + 6*v(i)?\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 79790 divided by -79790\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (444\/(-1221))\/(100\/22)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - -7 - (-1207)\/(-204). Let r(b) be the third derivative of 0*b - y*b**5 + 0*b**3 + 1\/8*b**4 + 0 - 3*b**2. Find the second derivative of r(k) wrt k.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 1731*v**3 - v**2 + 1. Is a(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by -3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4722 and 192?\nAnswer: -906624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3602*d**3 + 3*d**2 + 211*d - 1910139 wrt d.\nAnswer: 10806*d**2 + 6*d + 211","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.756003ms to microseconds.\nAnswer: 5756.003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4) + ((-135)\/(-12))\/5. Let h(n) = -n**3 + 3*n**2 + 2*n - 1. Let z be h(j). Solve z + 8 = -5*u, 3*u + 21 = -4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -8*q. Let b(o) = 34*o - 98. Let i be b(3). Let m(d) = -9*d - 27. Let l(s) = s + 4. Let w(a) = i*m(a) + 27*l(a). What is w(p(x))?\nAnswer: 72*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-2) - (3 + -44). Suppose 5*c = 27 + f. Suppose -y - 2*s + 12 = -c, -155 = -4*y + 3*s. Calculate the remainder when y is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/2, 0.2, -2\/3, 18\/25?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*r - 591, -288 = -i - 2*r + 6*r. Calculate the greatest common divisor of i and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -410\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (448\/80)\/((-2)\/(-495)). Let r = -692 + i. Is r a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1561 + 14065\/9. Which is the closest to 2\/7? (a) s (b) -0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1232)\/(-345) + 14796\/(-4110)\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116 + -112. Let h be (-30588)\/(-78) + a\/(-26). Calculate the highest common factor of h and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 110 + -114. Which is the nearest to 0? (a) h (b) -1\/4 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 7*k = -3*k + 15, 3*k = -12. Let r(l) = -l + 1. Let i be r(-3). Suppose 3*v - 24 = -i*w, -3*w + 4*v - 3 = v. Solve w = -2*y - j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 849303 is divided by 283095.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*v = -v + 23, 4*v = 2*r - 8. Suppose 6 = 5*c + 1, 3*s - r = 2*c. Solve 0 = 2*x - 2*b - s, -x + 0*b - 4*b = -7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 608.3 + -608. Which is the smallest value? (a) -0.6 (b) v (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 4)*(1 - 3 + 1)*(17 + 10*x - 11*x - 7).\nAnswer: -2*x + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -57429, -114848, -172281, -229734, -287213, -344724, -402273?\n\"Answer: -t**3 - t**2 - 57409*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(-6*s + 2*s + 2*s)*(-9 + 4 - 1)*((-1 + 1 - 1)*(-42*s + 0*s + 6*s) - 10*s + s + 0*s).\nAnswer: 648*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 11 - 9*u to o*u + i and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 - 3*a - 26. Let h be s(5). What is the highest common divisor of 81 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 177546 = 177434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10538288 to the nearest integer?\nAnswer: 3246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (-7 + (-3 - 0)). Suppose 7*r = -4*o + 4*r + l, 2*o - 6 = -2*r. Is (o - -31)*(-2 + 19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + j = -11*i + 1917456, -3*i + 1438092 = -5*j. Suppose -182783 = -23*x + i. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 219, 533, 985, 1611, 2447?\n\"Answer: 6*g**3 + 33*g**2 + 173*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 10\/13 (b) -0.3 (c) -47\/520\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 + (-1533)\/(-14))*2?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + c**2 + 7*c + 5. Let x(m) = m**3 - m**2 - 8*m - 6. Let a(y) = -7*u(y) - 6*x(y). Give a(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**9\/20160 + i**6\/180 - 7*i**5\/60 + 5*i**2. Let c(l) be the third derivative of o(l). Differentiate c(b) wrt b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) 4 (c) -2\/2673 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -1, 2, 5 in increasing order.\nAnswer: -4, -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3 = 1. Suppose -v*s = s - 75. Solve 5*x + s = -4*d, -x - 2*d - 16 = d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 2:56 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -111613 (base 7) to base 9\nAnswer: -30211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/18 and -1\/32843768?\nAnswer: 295593912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84 + 6. Let z = 82 + q. Let o = -7 + z. What is the third biggest value in -7, 1, o?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/14 and -13\/3206846.\nAnswer: 22447922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = -12*g - 285. Let s be 12\/20 + (-2 - 21\/g). Suppose 20*k - 17*k - 153 = s. What are the prime factors of k?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97852019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17, -56, -115, -188, -269, -352, -431, -500?\n\"Answer: q**3 - 16*q**2 + 2*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 2 = r, -4*t - 4 = r + r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3345 + 139*x - 3534*x - 1365*x wrt x.\nAnswer: -4760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 11:35 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*c + 481 = -278*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -29. What is the smallest common multiple of 13 and c?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 + 63. Let o = -13.9 + n. Sort o, 0.2, -0.2.\nAnswer: -0.2, o, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -286*a. Let i(q) = -q**3 + 28*q**2 + 30*q - 106. Let w be i(29). Let x(h) = -15*h. Determine w*x(f) + 4*t(f).\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 2936440834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1021581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109604 and 2726?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -19?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/2*(-30)\/18. Let r be n\/(-24) + 11\/(-33). What is the third smallest value in 0.06, 0, r?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368176902749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 946484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1*4836.5\nAnswer: -4836.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 3, -2, 5, 192 in descending order.\nAnswer: 192, 5, 3, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346*w**3 - 97*w**3 - 172*w**3.\nAnswer: -615*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32815.92 tonnes in nanograms?\nAnswer: 32815920000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 987083.7 litres to millilitres.\nAnswer: 987083700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-4))\/(3\/6). Let k = n + -4. List the prime factors of (1\/(-2))\/(k\/(-28)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-364)\/(-1365)*-5*1 - (-1 - 0). Let j = 0.1 - 0.2. Which is the nearest to -1? (a) y (b) j (c) 0.5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*b**2*h*i - 22647*b**2 + 3*b*h + 2*b*i + 26*h + 8104386*i wrt b.\nAnswer: 46*b*h*i - 45294*b + 3*h + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1206 - 450. Is (-10765)\/(-7) + -12*(-9)\/w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*a = 62*a + 4*v + 18, 2*a - v + 8 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 15) to base 9.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 19. Solve -n*c = l, 4*c - c + 5*l = -12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145890 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**4\/6 + 5*z**3\/3 + 3*z**2 - 8*z - 5. Let x(b) be the first derivative of i(b). Give x(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**4\/6 + h**3\/3 - 2199*h**2. Give u(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 30 = -237. Let b = r - -125. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 291*f - 2. Is 11 a factor of h(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -12. Suppose -v*n + 4*d + 6 = 0, 5*n - 3*d - 72 = -29. Calculate the lowest common multiple of n and 3*-1*1\/(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 divided by 75?\nAnswer: 74\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -29*d**2 - 8 - 4*d + 82*d**2 - 6*d**2. Is q(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**2 + 4*p - 4. Let m be q(3). Suppose 4*o = -3*c + 14, 2*o - m = -4*c + 2. Solve c*b - 2 = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.01 + -0.29. Let b = x + 1.4. Put 1, b, -0.2 in increasing order.\nAnswer: -0.2, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5277882064 - -5277854981.19921. Let g = 27078 + w. Let t = 4.8 + g. Round t to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -365, -379, -393, -407, -421, -435?\n\"Answer: -14*z - 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 12:19 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 3*x**2 - 4*x + 3. Let q be h(-3). What is the least common multiple of 12 and 87\/q - 1*16\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + 0 + sqrt(684) + -2 + sqrt(684) + -3*2*sqrt(684))**2*-1.\nAnswer: -6160 - 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -12149.3741.\nAnswer: 60746.8705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.08 + 12.02. Let n = 16.1 - u. Which is the biggest value? (a) n (b) 34 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 320335202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34075, -68151, -102227?\nAnswer: -136303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*g + 14 = 0, -r + 2*g = 4*g - 20. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*u = -5, -3*w - u + 0*u = -10. Suppose w*y = -3*n - 89 + 434, -3*y + 207 = -5*n. List the prime factors of y.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 2)*(-35)\/14. Let w(s) = -s - 3. Let i be w(c). Suppose 2*q - 5*j = 24, -2*q - 3*j + i*j + 24 = 0. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5\/3 + 551*q**4\/3 + 1456*q**3 + 13064*q**2\/3 + 17392*q\/3 + 2896 = 0. Calculate q.\nAnswer: -543, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**2 - 6*i**2 + 10*i**2 + (i**2 + 0*i**2 + i**2)*(1 + 1 - 1) - i**2 + 2*i**2 + 2*i**2 as d*i**2 + b + u*i and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 26 + 16. Let d(v) = v**3 + v**2 + 30. Let o be d(0). What is the tens digit of (-272)\/(-10) - u\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.55 - 4.2. Let u = z + 0.45. Is -1 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82 + -64. What is the smallest common multiple of g and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 12:15 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-6*(-4*sqrt(405) + sqrt(405) + sqrt(405)))\/((sqrt(90) + (sqrt(90) - -6*1*sqrt(90)))\/sqrt(10)).\nAnswer: 45*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 2*b + 2. Suppose 4*m + 14 = 2*c, m + 10 = -m. Let t be s(c). Suppose 0 = -4*o + 29 - 9. Sort o, t, 3 in increasing order.\nAnswer: t, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/15 - 96\/(-20)*-47. Let t = 227 + v. Is -2\/369 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (108*1029\/3969)\/(2*(-1)\/(-2))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1757802344 to the nearest integer?\nAnswer: 41926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.91 minus 4?\nAnswer: 25.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3. Let n = 2 - u. Let m = -30473 - -30473.08. What is the second biggest value in n, m, -2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1329815 to the power of 1\/2, to the nearest integer?\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008441224 rounded to 7 dps?\nAnswer: 0.0008441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 6. Let v(f) = 6*f - t*f - 2*f**3 + 3*f**3 - 35 + 46. Let o be v(0). What is the highest common divisor of 55 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-208)\/(-2080))\/((-34)\/20)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 29*f + 40. Calculate z(30).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27093 is divided by 13542?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53916, -53917, -53918?\nAnswer: -53919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1046 - -157?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51494 is divided by 33.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149 - 50 + 15312*k - 35 - 31 - 32.\nAnswer: 15312*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/47267 + -1748403\/11249546. Calculate the common denominator of o and 27\/56.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -9*n. Let z(r) = -7*r. Let k(c) = -3*h(c) + 4*z(c). Let j(w) = -18*w. What is j(k(y))?\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 1 = 2*o - 5*n, 3*o = -5*n - 16. Suppose 0 = -3*z - 2*b + 37, -48 = -4*z + o*b + 24. Suppose -4*a + 7*a = z. Solve -2*f = -f - a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69065 at most as big as -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25, -97, -221, -397?\n\"Answer: -26*o**2 + 6*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 h when two letters picked without replacement from nnnnnnnnhnnnnnnhnn?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120*n**2 + 260*n**3 - 57 + 364*n**2 - 118*n**2 - 124*n**2 wrt n?\nAnswer: 1560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15459.4 rounded to the nearest one hundred?\nAnswer: -15500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g + 2. Suppose -2*s - 7 = -3*h - 1, -h = 2*s - 2. Give i(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6985819?\nAnswer: 31, 225349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 31. Let a = o + -4. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b + 0*b + 0*b)*(-180*b + 117*b**3 + 360*b - 178*b) to u*b**2 + y + w*b**3 + g*b + a*b**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3094\/2792291 + -228945125873\/12959022531. Let w = a - -2\/1547. What is the common denominator of 73\/2 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b + 3. Let r(k) = k. Let o(a) = c(a) + 5*r(a). Let z be o(3). Suppose 0 = -4*s - 2*p + 52, -2*s - 4*p + 18 + 8 = z. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+68175\nAnswer: 68175.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4546 or -2\/7?\nAnswer: -4546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q**3 + 68*q**2 - 28*q - 5. Let k be l(-14). Let d(z) = -3*z**3 + 5*z**2 - 25. Let o(m) = 2*m**3 - 3*m**2 + 12. Determine k*o(n) - 3*d(n).\nAnswer: -n**3 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1596 + 1596 - 6*c**3 + (-2 + 2 - 2*c**2)*(0 + 0 + c) + (-19*c + 19*c + 11*c**2)*(c - c + c) to s*c + v*c**2 + j*c**3 + o and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 10 + 2 = 0. Suppose g + k*g = 0. Let r(x) = 1 - x - x**3 + g - 2*x**2 + 5*x**2 - x**2. What is r(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-9 - -26) + (-8 - -1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*(sqrt(405) - ((0 + sqrt(405) + sqrt(405))*-4 - sqrt(405))))**2*4.\nAnswer: 4050000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/7 - (179 - 166) - -4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 1:36 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4.4 * -2\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*f - 2125 = 63*f + 47*f - 44*f for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7584 + 7599 - (-102 - 0).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 4*k - 8. Let q be t(-3). Sort -15, q, -1, -3 in ascending order.\nAnswer: -15, q, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x + 2. Let i(n) = 2*n - 2. Let v be 8\/(-108)*3 + 893\/171. Determine v*a(s) + 4*i(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26101*f + 26098*f - 51 = 3*n, -14*n = -10*f + 5*f - n + 113 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/306 - 122\/18 - 6\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 7864.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9175*z = 9050*z + 375. Let l(a) = 7*a + 5. Let h be l(4). What is the greatest common divisor of z and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 15 = -3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (-1 - (-193283)\/(-20)). Let p = 9673 + q. What is the common denominator of (-62 + 1)*(-4)\/(-32) and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749 is divided by 174?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1233 + -1281. Which is bigger: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5436*d*p**2*w + 180*d*w - d - w wrt p.\nAnswer: 10872*d*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*u**2 + 63 + 10*u.\nAnswer: (u + 9)*(u + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**4 + 16 + 2*w - 3 + 16*w**3 - 7 - 6 to the form d + n*w + m*w**4 + v*w**2 + f*w**3 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*l + 31. Let d = 5 - l. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 952*i*y**2 + 5692*i - 3*y**3 + y - 36 with respect to y.\nAnswer: 1904*i*y - 9*y**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.9 - -0.1. Let r = 2.6 + -19.6. Let s = -19 - r. What is the second smallest value in d, -0.5, s, 8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 548 - -867. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3361487540?\nAnswer: 2, 5, 179, 938963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*x = -4, 2*g - 4*x - 20 = g. Suppose -4*h + 8 = 4*u, 0*u - 2*h + 4 = -g*u. Let c = -62034 - -1178650\/19. Which is greater: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9\/67 - -179\/335. Let g(z) be the first derivative of 0*z - b*z**3 - 1\/10*z**4 + 0*z**2 + 17. Factor g(t).\nAnswer: -2*t**2*(t + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17368 + 17369. Let s = 2 - 2.2. Which is the closest to -0.1? (a) -5 (b) s (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, k: 4, x: 2, r: 5}. What is prob of picking 1 z and 1 k?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c62 (base 15) to base 6.\nAnswer: 44315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 2 = 6*h, 4*f - 3*h + 57 = 62 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 3 = 7*j - 2*j, 0 = -5*r + 3*j + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + h + 0*h + 2 = 0, 0 = 2*b + 4*h + 12. Let g(j) = -b + 3 + 2 - 16*j. Is g(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3*4\/(-8) - (-561)\/2.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g - 4*g + 4*g)*(g + 0*g + g) + (g - 48*g - 41*g)*(4 - 1 - 1)*(2*g - 2 + 2) to v*g + a + o*g**2 and give o.\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**5 - 715*v**4\/2 - 27337*v**3\/2 - 352457*v**2\/2 - 1164485*v\/2 = 0?\nAnswer: -49, -97\/6, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 - 4*k + 3. Let j be y(2). Suppose j*v - 4*p + 0*p = 55, 59 = 3*v - 2*p. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -219, -430, -627, -804, -955, -1074?\nAnswer: -1155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rprprrprprrrrp. Give prob of sequence rrp.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -314*k + 10072. What is x(32)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + i**2 + i - 5*i**2 + 3*i**2 + 3*i**2 + (-1 - 1 + 3)*(260*i**2 + 1555 - 1555).\nAnswer: 262*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27537 is divided by 190?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394301761?\nAnswer: 7, 56328823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37138486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 643183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122098, -122021, -121944?\nAnswer: -121867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.45 rounded to 0 dps?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4600*v + 4597*v = 15, 0 = -m - v - 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 1:22 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.00093 - -0.10093. Let n = -0.1 - 0.9. Which is the closest to -1? (a) -1\/4 (b) s (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.7 and -373424.4.\nAnswer: -373418.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 2*v + 301 = 423, -16*v = -2*b + 1028 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-320)\/96)\/(5\/(-18)). Solve -4*k + 12 = -3*n, 3*n - 2*n + m = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-8) + (-147)\/(-12). Suppose a - 2*j - q = -3*j, 0 = 2*j + 6. Solve 4*n + a + 5 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (7 - -2 - 5)) + -7 + (14 - 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**2 + 2*u**2 + 2*u**2)*(-5*u + 4*u + 3*u) + 2*u + u**3 - 2*u + 66 + 326 + 2*u**3 + 12*u**3.\nAnswer: 11*u**3 + 392","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -26338 divided by 13169\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2040 - -2104. What is the least common multiple of 14 and g?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -24. Let d = m - -21. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12301?\nAnswer: 12301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1384 + 2484. Let h = 1309.80379024 - 209.80372754. Let k = s - h. Round k to six decimal places.\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -2\/7 (c) -9 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339 a factor of 55745387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 8:26 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 10:49 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujue when four letters picked without replacement from euuuueeueeeejuuue?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1338 - -1338.1. Put -1\/5, -4, u in increasing order.\nAnswer: -4, -1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1043*j**2 - 53*j + 11.\nAnswer: 2086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43629*p**5 - 1983176*p**2 wrt p?\nAnswer: -2617740*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, l: 12}. What is prob of picking 1 l and 1 y?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1757 + -5318\/3. Calculate the common denominator of p and 25\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -6. Suppose 0 = -b*y + 2 - 0, 0 = 4*s - y - 31. Which is bigger: s or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from oooovvvvoovovovo.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*g - 101 + 101 to the form m*g + i and give m.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z = 16*z + 16. Let r(y) = 10*y**3 - 3*y**2 + 4*y. Let f(b) = -11*b**3 + 4*b**2 - 5*b. Let c(w) = z*r(w) + 3*f(w). Calculate c(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -5.3.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (6 - 5) - (2 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7714)\/18734)\/(20\/17)?\nAnswer: -7\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -82, -95, -106, -115?\n\"Answer: u**2 - 16*u - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r = -47 - 310. Let z = -1 - -7. What is the remainder when r is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/(-72) - (-50 + 2990\/234 + 37)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -847983*n**2 - 153635*n wrt n.\nAnswer: -1695966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-152 - 35143\/(-226))\/((-14)\/(-136))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 31 = 24*t - 27*t, 5*o = 4*t - 28 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1453709, -1453705, -1453701?\nAnswer: -1453697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**4\/24 - q**2. Let c(n) = -n**2. Let w(s) = -2*s**2. Let t(m) = 5*c(m) + 5*w(m). What is t(j(l))?\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*h + 229*h = 396. Let q be h\/11*3\/21. Let j be -4*((-2)\/8 + 1). Which is the nearest to -0.1? (a) -13 (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 17 + (95 - 104)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 21318*b - 63981.\nAnswer: 3*(b - 3)*(b + 7109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-142)\/(-5))\/(3\/(-15)). Let u = m + 271. Let j = u - 92. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1342, -3 in descending order.\nAnswer: 1342, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -526*d + 527*d + 8, -24 = 2*d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Which is the fourth biggest value? (a) -1\/4 (b) 0.3 (c) -3508 (d) -0.3 (e) -2\/3 (f) 0.8 (g) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 7:13 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3109665220.\nAnswer: 2, 5, 155483261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3970*s**4 - 19*s**3 - 94*s**2 - 3*s - 26615977 wrt s?\nAnswer: -47640*s**2 - 114*s - 188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.05, -12, 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 15. Let d be a(9). Let o = d - -16. List the prime factors of 274\/o - 20\/50.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 1 + 0 + -2. What are the prime factors of l + -2 - -3*6?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 - x. Let w = 170 + -153. Suppose -8*l + w = 9. Let k(z) = z**3 - z**2. Calculate l*d(c) - 2*k(c).\nAnswer: -2*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x + 80. What is q(-28)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a millisecond in microseconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7599509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.1 (c) 1\/5 (d) 54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.766 from -5716.\nAnswer: -5709.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27\/15 - 1\/(-5). Let c = 2 - -1. Suppose 5*s + 7 = c*q - 10, -4*s = j*q - 4. Put 5, s, 4 in decreasing order.\nAnswer: 5, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -1. Suppose 0*z + g*z = 15. Let w = 92 + -90. Solve w*h + z*i - 19 = -h, 0 = 3*i - 15 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118194 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 422 + -380. Calculate the remainder when 1510 is divided by i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3003464*7.7\nAnswer: -23126672.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 46) + (17 - 10) + -6. Let u be a\/(-33)*3\/2. Let n = -7 + 12. Solve u*r = n*i - 15, -2*i + 2*r + 9 = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7787607.39 to the nearest 1000.\nAnswer: 7788000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1097, -17.3 in descending order.\nAnswer: 1097, 0.2, -17.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3906028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 - -1221413?\nAnswer: 1221343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21315 is divided by 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-8)\/24*1*-3. Put -3, -173, -5, n in descending order.\nAnswer: n, -3, -5, -173","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (183\/(-12) - -15)\/((3\/(-4))\/(-3)). Let z(o) = -14*o + 3. Let t(d) = 27*d - 6. Let u(y) = 4*t(y) + 9*z(y). Is 5 a factor of u(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -413, -415, -417, -419, -421, -423?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 8.07. Let g = i + -0.47. Sort -1, -0.5, g in decreasing order.\nAnswer: g, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11522319 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4217553 rounded to 3 decimal places?\nAnswer: 2.422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -104, -3, 4, -2 in ascending order.\nAnswer: -104, -3, -2, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*o*z**4 - 16*o*z - 2*o - 8*z**4 + 2*z**2 wrt z.\nAnswer: 1008*o*z - 192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/(-36)*(9 + -19).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6550 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 66*k + 86. Let s(i) = -33*i - 43. Let u(o) = -3*r(o) - 5*s(o). What are the prime factors of u(-10)?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003118001 rounded to 4 dps?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**3 - 184413477*v**2 + 1006500*v - 52?\nAnswer: -6*v - 368826954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 9*y - 2. Let l(r) = -r**2 + r + 86. What is the tens digit of l(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18449*l - 18445*l = -2*x, 11*x - 50 = 3*l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f - 4209 = -8*f. Let i = 192 - f. Solve 3*h - i = -0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 9) in base 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/4*-2 - 2. Let p be 1\/(-6)*-3*(4 + 2 + 4). Solve -l = p*r - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x + 6. Give f(11).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -46210, -46207, -46204, -46201, -46198, -46195?\n\"Answer: 3*k - 46213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 29*a - 493. Solve 10*b + 35 = a*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*k**3*p**3*q - 1165*k**3*p**3 - 4*k**3*p**2*q + k*p**2 + 120575*p*q wrt p?\nAnswer: -456*k**3*q - 6990*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193, -775, -1743, -3097, -4837, -6963, -9475?\nAnswer: -12373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/81506497 or 1?\nAnswer: 1\/81506497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58743493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 320.8 - 292. Let c = 29 - g. What is the biggest value in -1, 0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*sqrt(1152)*1 - sqrt(1152))\/(sqrt(324) + sqrt(324)*-2 - sqrt(72)\/sqrt(72)).\nAnswer: -480*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 4*y - 188, 84*y + 6 = 5*t + 19*y - 59 for t.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303 = -113*n - 601 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1434 + 0.0566. What is the closest to -0.1 in -14\/17, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 3. Let s(t) = -8*t - 22. Let o be (63\/4)\/(21\/56). Suppose 2 = c - o. Give c*p(k) + 6*s(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 23*m + 3\/2*m**2 + 1\/20*m**5 + 0 - 1\/4*m**4 + 5\/6*m**3. What is the tens digit of x(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-16))\/((-8)\/(-64)))\/((-23)\/207).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2730 is divided by 2696?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -821329 greater than or equal to -821326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2144, 2008, 1878, 1754, 1636, 1524, 1418?\nAnswer: 1318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -741 + 1281. Does 27 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -12. Suppose -2*h + 49 = 17*u - 14*u, -3*u - 5*h + 55 = 0. Calculate the greatest common factor of t and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -4\/825428653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2544*o**3 - 3*o**2 + 6. Let p(s) = -109392*s**3 + 128*s**2 - 256. What is 3*p(c) + 128*z(c)?\nAnswer: -2544*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 242 = -5*h, -8*h + 4*h + 2*i = -196. Suppose 25*p + h = -25. Sort -12, -1, p, -2.\nAnswer: -12, p, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8*h**2 + 89*h + 37. Give k(-11).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p - 79*p + 26*p + 5 = 5*i - 27*p, 0 = -5*i + 9*p - 75 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 45, 143, 333, 645, 1109, 1755?\nAnswer: 2613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 18. Let j be 2 + (0\/1)\/q. Let u(c) = 2*c. Determine u(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - -32 - (-2 + 10) - -6 - -19.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 30565, 61082, 91601, 122122, 152645, 183170?\n\"Answer: y**2 + 30514*y + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 times -2269934\nAnswer: 5674835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, h: 2}. What is prob of picking 2 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**5\/60 - q**4\/12 - 329*q**2. Let a(r) = 2*r**2 - r. Calculate 2*a(n) - 3*s(n).\nAnswer: n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -2020*g + 2024*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53027156 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 1:14 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(1104\/(-2530)))\/(4\/16)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12678973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -0*h + 5*c + 61, -5*h - 5*c + 65 = 0. Let p be 5 + -5 - h\/(-40). Let z = p + -7\/10. What is the closest to 2 in 2, z, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (422 - 16 + 335 + (1 + 1 - 1)*(-5 + 0 + 2))*(0 + 0 - 3*d).\nAnswer: -2214*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*y + 57, -2*a - 13 = y - 3*a. Let t(p) = -9517*p - 125. Let o(b) = 2115*b + 31. Let h(z) = 9*o(z) + 2*t(z). Give h(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28756701 is divided by 986?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 0*x + 3*x + 23, -3*j - 13 = 5*x. Suppose -j = -v - 0. Which is the third biggest value? (a) -0.4 (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -8\/5 (b) -126 (c) 3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14752 is divided by 6412?\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125 - 94 - 75)*(2*u + 2 + 0 - 1).\nAnswer: -88*u - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/126, 0.4, -5\/3, -5812.\nAnswer: -5812, -5\/3, -1\/126, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + 4*q + 9*q)*(3*q**3 - q**3 + 0*q**3).\nAnswer: 14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -21. Let u = -3 + -2. What is the third smallest value in j, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**2 + 2*w**2 - w**2 + (3 + 0 - w - 1)*(-4*w + 6*w + w) + 2*w**2 - 3*w**2 - 2*w**2.\nAnswer: -8*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 3870 = -15*i. Let b = -164473\/85 - i. Is b at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1078503 + 1078505.900046. Let d = i + -2.9. Round d to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 12*p**2 - 5*p + 1. Let h be x(1). Let l(n) = 202*n**2 + 5*n + 5*n - 8 + 0*n. Let t be l(h). Round t to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/4 - (-162)\/(-24). Let t = x - -12. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -124*c**3\/3 + 130*c**2\/3 + 242*c\/3 - 4 = 0.\nAnswer: -1, 3\/62, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134428 is divided by 1827.\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*g + 189 - 28. Is 2\/(-14) - (-151446)\/g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 12, i: 2, t: 2, z: 2}. Give prob of sequence itz.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0678462 meters in nanometers?\nAnswer: 67846200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -121027652 < -121027648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 50 = -25. Let l(d) = -14*d + 20. Let j(c) = -7*c + 10. Let h(w) = 5*j(w) - 3*l(w). Let g(q) = -4*q + 5. Calculate f*g(i) - 3*h(i).\nAnswer: -i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2538532 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, t: 3, q: 2, l: 1}. What is prob of picking 1 t and 1 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (636\/360 - 2)*(-10)\/(-28).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*4\/(12*1). Let b be 20\/14 + 2\/u. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 2:57 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-4)*(-9)\/42*-7*36\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 5 - 12*d + 5.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-10 - -16)\/(-6). Solve 0 = -k + u, 4*m - 1 = -0*m - 3*k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(3\/11)*s)*s*s\/s**(-1)*s)**50 assuming s is positive.\nAnswer: s**(2050\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b = 19*b + 2*f - 890, -1202 = -4*b + 5*f. Suppose -b + 330 = 8*y. Let s(j) = -8*j + 6. Give s(y).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i = -11*i - 6, -26 = -2*y - 2*i. Let k be 42\/231 - ((-42)\/y - 0). Let g = 3 - -2. Put g, k, 2 in decreasing order.\nAnswer: g, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9439 + 9440 + 4096*m + 270*m.\nAnswer: 4366*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.08 - 14.2. Let y = l + 0.1200604. Round y to 6 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22\/15 - 5\/3. Let v = 15 + -95. Let p = v - -79.9. What is the closest to p in i, 1, -7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6021 + -6018. Let k(b) be the first derivative of -2\/25*b**5 + 0*b**4 + 14 + 0*b**2 + 0*b + 2\/15*b**y. Factor k(p).\nAnswer: -2*p**2*(p - 1)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2)*(45*c**3 + 27*c**3 - 14*c**3) to the form d*c + x*c**3 + f + v*c**2 and give x.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*j = -48*j - 28 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30550131?\nAnswer: 3, 3394459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + z**2 - z + 33. Let t be (-2)\/8 - 113\/(-4). Let i = -28 + t. What is the remainder when 129 is divided by n(i)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 3)*15\/30. Put -5, 4, -4, d, 494 in descending order.\nAnswer: 494, 4, d, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 3 = 5*a. Solve -a*c = -3 + 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30728 by -92.\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 97 (c) 0.3 (d) -4\/7 (e) -1\/79 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a millennium?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -26*p + 160. Let d be k(6). Let j(w) = -9*w**2 + 4. Let n(i) = -10*i**2 + 5. What is d*n(b) - 5*j(b)?\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 12*c - 191. Give l(-19).\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 230, 238, 236, 218, 178, 110, 8?\n\"Answer: -u**3 + u**2 + 12*u + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 118\/(-8)*(-378)\/33. Let j = q + -169. Calculate the common denominator of j and 99\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 10, 0.2, 14, 0.6, 0 in ascending order.\nAnswer: -3\/5, 0, 0.2, 0.6, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*u**5 - 2320*u**4 - 13*u**3 + 1978*u**2 - 145*u + 1 wrt u.\nAnswer: 300*u**2 - 55680*u - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 5*a - 19, 326*a - 334*a = 21*m - 422 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2616 in 1, -0.1, -2\/15, 3\/4, 10, -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -824*h - 215*h + 1784 + 2372 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5 - 1 - 5. Let b(o) = -o + 6. Let q be (7\/(-42)*6)\/1. Give q*b(g) - 5*c(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(117) + 1*sqrt(1053).\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 + 6 - f - f + 3*f**2 - 3*f. Calculate c(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (8 - 13) - -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 0 = 45. Solve 3*w = -3*a - 15, a - 5*a + m*w = 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-1480)\/100) + 126\/(-45).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/25 of a meter in micrometers?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 9 + 24*k - 8*k - 7*k + 6*k**2. Let z be l(-5). Let m = 26 - 288\/11. What is the smallest value in -0.5, m, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + 94\/(-30) + 34\/30. Solve 3*b = 5 + i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*q - 51 = -58*q - 50*q. Let x(j) be the first derivative of 7\/12*j**2 + 5\/24*j**4 - 23 + 11\/18*j**q + 1\/6*j. Factor x(a).\nAnswer: (a + 1)**2*(5*a + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0 - -2) + 16 + -9 + -9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6846350.\nAnswer: 2, 5, 7, 31, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**3\/10 - 8643*c**2\/10 - 86055*c\/2 - 1074125\/2 = 0.\nAnswer: -8593, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4 + 116*x**3 - 94*x**2 - 1124*x - 912 = 0 for x.\nAnswer: -2, -1, 4, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, c: 2, p: 8, n: 1}. Give prob of sequence jcjp.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 12, w: 3, c: 2}. Give prob of sequence uw.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -6*r**5\/5 + r**4\/4 + 19*r**2\/2 - 95. What is the second derivative of v(c) wrt c?\nAnswer: -72*c**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -304264.2 - -0.1.\nAnswer: -304264.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125 - 107. Let s be (8\/10)\/(4\/130). What is the remainder when s\/3*81\/m is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 4. Let y be a(5). Let r = 1 - y. Let o(n) = 2*n**2 - n + 2. What is the units digit of o(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.12 + 0.02. Let y = -0.2 + 0. Let n = 0.2 + y. Is c bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1342 and 32086?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/6)\/((-94600)\/(-1980) - 47).\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313648 is divided by 297.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14521525 (base 7) in base 3?\nAnswer: -2121021220211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g. Let t be y(2). Let s be t\/(-4) + 219\/6. Suppose 0 = -3*j + j + s. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -9*c**3 + 6*c**2 - c. Let s = 84 - 93. Let t = s + 4. Let n(p) = 8*p**3 - 5*p**2 + p. Calculate t*m(i) - 6*n(i).\nAnswer: -3*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.4 - 2. Let b = 8\/9 + -67\/45. Let s be 2*1\/(-2)*0. What is the closest to -1\/4 in s, b, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 25 + -18 + 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*t = -70*t - 4*f - 7122, 3*t - 4*f = 21350. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002199301455 to 7 decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o. Let p(n) = -1. Let a(q) = i(q) + p(q). Let v(d) = 4*d - 4. Let z(u) = -6*a(u) + 2*v(u). Is 11 a factor of z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.0208.\nAnswer: 0.0208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95151514?\nAnswer: 2, 359, 132523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 83351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-7) - 10 - (-6 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.03 (b) -2 (c) 6 (d) 1 (e) -0.24 (f) 0.4 (g) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2, -489, -2, -1\/6 in ascending order.\nAnswer: -489, -2, -0.5, -1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzzlzvllzzv. What is prob of sequence vl?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111 (base 3) to base 15.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4091?\nAnswer: 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from {y: 1, x: 6, t: 9, g: 1}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1157 is divided by 1157.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from {q: 4, m: 13, u: 3}?\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.5, 13, -2, -1, 174, 1.7.\nAnswer: -2, -1.5, -1, 1.7, 13, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6*n**2 - 15*n + 14. Calculate k(-5).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/43 in 2, -0.4, 5, -1\/2, -5\/62?\nAnswer: -5\/62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 less than 0.0239?\nAnswer: -36.9761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 1167.3?\nAnswer: -1168.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**1)**(2\/29)*c**1*c*c**(-1)*c)**(-17) assuming c is positive.\nAnswer: c**(-1054\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -2. Suppose -y*l = -2*l - 56. Calculate the smallest common multiple of l and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or 9200?\nAnswer: 9200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*j - 5360, -3*j = 2*d - 7263 - 3471. Suppose 13*l = -996 + d. Let v = -171 + l. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/13 + 1302*y - 3385780\/13.\nAnswer: -2*(y - 8258)*(y - 205)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shhsvshhhsvshvs. What is prob of picking 1 s, 1 v, and 2 h?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**3 + 43*q**2 - 21*q + 3. Let v be c(21). Let j(y) be the second derivative of 1\/3*y**v - 5*y + 0*y**2 + 0. Let g(a) = a**2. Calculate j(g(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -10. Suppose -12*h = -a*h - 24. What is the remainder when 60 is divided by (-1 - 0 - -27) + h\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 - -9 - (2 - 4). Suppose -h*x + 8*x = 8. Let j = -122 + 124. Is j at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -16, -6\/827, -1 in increasing order.\nAnswer: -16, -1, -6\/827, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + 0*g - 2*g**2 + (-1 + 6 - 1)*(0*g**2 - 2*g**2 + 0*g**2) + 15*g**2 + 18*g**2 - 4*g**2.\nAnswer: 19*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, 2\/3, -13 in descending order.\nAnswer: 7, 2\/3, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/4, -0.4, -2\/31 in increasing order.\nAnswer: -11\/4, -0.4, -2\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -13*r + 60. Suppose 6*m + 218 = r*m. Which is smaller: m or -108?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -429 - -264. Let i = x - -248. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.94 * 257471\nAnswer: -242022.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 2910?\nAnswer: 11640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -10*y + 1. Let m be r(-2). Let o be (-2)\/(6\/m)*1. Let t be ((-27)\/o)\/(-3) - -1. What is the third smallest value in 4, 1\/9, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/3)\/(3\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 8*o**2 + o + 10. Let g be -4*(0 - 1)*2. Let w be f(g). Let z = w + -15. Solve -z*m = 7 - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68051680 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 797 (base 10) to base 12.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {u: 3, l: 13, w: 3}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -8 - (2 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-6 - (-8055)\/1323). Are -1 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q = -13*q + 11. Let z(r) = -7*r**3 - 22*r**2 + 8*r - 20. Is z(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 953?\nAnswer: -3\/953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(3\/23)*o**(-1\/36))\/((o**(3\/16)*o)\/(o*o**15)) assuming o is positive.\nAnswer: o**(52711\/3312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 410616829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -271\nAnswer: -3\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 1946?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 49*i - 176 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3841655519 to the power of 1\/2, to the nearest integer?\nAnswer: 61981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/56534 and 97\/6?\nAnswer: 169602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*b + 25*b + 19*b + 384 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 309236.042 - 308755. Let q = d - 481.342863. Let c = q - -0.301. Round c to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1110*w**3 + 326*w**2 + 43283*w - 118.\nAnswer: 6660*w + 652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 2\/3*d**3 + 0*d**2 + 0*d + 5. Let o(g) be the first derivative of 5*g**3\/3 + 2. What is s(o(z))?\nAnswer: 50*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 5*a - 24, -2*a + 24 = -4*h - 0. Let q(r) = 49*r**2 + 8*r + 61. Is q(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*2\/(-4))\/((-37)\/(-148))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/10 and -45\/28780592.\nAnswer: 143902960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -4552.898987 to the nearest integer.\nAnswer: -4553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -631 + 1323. Let s = j + -341. Does 48 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**3 - t**2 + 3*t + 4. Let f be y(0). Solve -v + f*v = 3, 3*h = 5*v + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 46. Let n(d) = d**3 - 4*d - 484 + d**2 + 481 - h*d**2. Determine n(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.8 and -143318.3.\nAnswer: -257972.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -10*f + 399. Let u be l(40). Sort -4, 0, 25, u in increasing order.\nAnswer: -4, u, 0, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2877a (base 16) to base 14\nAnswer: 44598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15607235*b**5 - 1331491*b**2?\nAnswer: -936434100*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 3378.3653 + -0.3653. Let u = -1725 + a. Let i = u + -1726.9. What is i rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f**2 + 0*f)*(-f**2 - 2*f**2 + 2*f**2) + 5*f**4 + 4 - 4 + (5*f**2 - 2*f**2 - f**2)*(-1 + f**2 + 1).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)\/(sqrt(12)\/sqrt(4)))\/(sqrt(56)\/(sqrt(8)*2)))**2 - (5 + 5 + sqrt(36)\/sqrt(3) + sqrt(12)).\nAnswer: -4*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 843.1 + -849.3. Suppose -h + 1 = -4*p - 6, p + 3*h - 8 = 0. Sort -0.4, p, g in increasing order.\nAnswer: g, p, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 8630628*n - 9310967459298.\nAnswer: -2*(n + 2157657)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88*h**4*i + 262*h**4 - 4*h*i - 3*h + 4*i + 10 wrt h.\nAnswer: 1056*h**2*i + 3144*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a milligram in micrograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 11. Let q = 1753\/7 - 251. Let j = 4.6 + -0.6. What is the second biggest value in q, k, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 61 - 81 - 45 = 0 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19347*h**2 - 138*h - 12.\nAnswer: -38694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2472 + 6821. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vchrvvrvrvhrrrvrhfr. Give prob of picking 1 v, 1 h, 1 f, and 1 c.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4\/5 - 3806*t**3\/5 - 34181*t**2\/5 - 30376*t\/5 = 0. Calculate t.\nAnswer: -3797, -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssqs when four letters picked without replacement from {s: 7, q: 7}.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/2)\/((-3 - -1)\/8). Let g(y) be the third derivative of -y**5\/60 + 2*y**4\/3 + y**3\/6 - 2*y**2. Let i be g(15). Solve f*m - i = -2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507.41 rounded to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -58360 or -58356?\nAnswer: -58356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 30 - 23. Let t(x) = 53*x**3 + x**2 - x - 1. What are the prime factors of t(g)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21903.0909*-4.\nAnswer: -87612.3636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 517687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 4*s + 2*g + 4, 3*s = -g - 6. Suppose -22*x + 1818 = 520. Is s*(-8 + 4) + x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.07 (b) -0.2 (c) 242.73 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6504 = 151*q - 383 - 836 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2f0b05 (base 16) in base 7?\nAnswer: 35130243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3848298457?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.4896473 millimeters?\nAnswer: 0.04896473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 320, 841, 2252, 4997, 9520, 16265, 25676?\n\"Answer: 74*d**3 + d**2 + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-256 - (-237 - 28)) + (-1 - (1 - 42))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4348*m**6 - 25*m**5 - 16234*m**2 - 13*m.\nAnswer: -521760*m**3 - 1500*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/84 and 107\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 908, 1846, 2784, 3722, 4660, 5598?\n\"Answer: 938*v - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**3*s + 60*q**2*s - 169*q**2 - 749*q*s + 117*q wrt q?\nAnswer: -6*q*s + 120*s - 338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 + -18. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 - 84*a + 90. Suppose -4*y + 7*y - 9 = 0. Let r = 11 - y. Calculate the lowest common multiple of r and x(-43).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13487.476 - -0.09.\nAnswer: 13487.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 996.6436mg?\nAnswer: 996643.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + -0.1. Let r = 39\/2 + -61\/3. Let c = 0 - 0.2. What is the closest to c in r, f, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 1 (c) -19 (d) -289 (e) 0.1 (f) -19\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 8*x = -0*x. Let t(b) = b**2 - 7*b + 2. Let s be t(6). Sort s, 3, x, -2 in descending order.\nAnswer: 3, x, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -32 (b) 1 (c) -9 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.88 + -0.12. Let n = 1 - 1. Sort n, 3, g in decreasing order.\nAnswer: 3, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26.5 + -26.5. Let h = -8.73 - 0.87. Let y = -1.4 + h. Which is smaller: y or c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifif when four letters picked without replacement from {f: 4, w: 1, i: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2709 and 245315.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58474736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 4, 2, -2, 13.\nAnswer: -6, -4, -2, 2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 2390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 226072531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 130013302120 (base 4) in base 16?\nAnswer: 707c98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 + 92. Suppose 0 = 20*w - a*w - 2088. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 2*a + m, 4*a + 5*m + 30 = -30. Let l(r) = 2*r**2 - 23*r + 36. Does 16 divide l(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 26 = -r. Let c = -1 + r. What is the remainder when 35 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 62, 157, 5, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + (54 - 51)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5c81 (base 13) to base 12\nAnswer: -7712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 12:09 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 33*p**4 + 32*p**2 - 261*p - 10. Let f(q) = q**5 - 3*q**2 + q. Let n(o) = 2*f(o) + r(o). What is the second derivative of n(x) wrt x?\nAnswer: 40*x**3 + 396*x**2 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -455230 * 0.1\nAnswer: -45523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h + 18*h + 2*h + 3*h + 5*h.\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4365, 4353, 4319, 4251, 4137, 3965, 3723?\nAnswer: 3399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -235 and 5.\nAnswer: -1175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooioioioio. What is prob of sequence ii?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48)\/(-12)*5\/10. Factor -22\/5*n**t + 8\/5*n**3 + 24\/5*n - 1\/5*n**4 - 9\/5.\nAnswer: -(n - 3)**2*(n - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800) + sqrt(800) + sqrt(800) + (sqrt(800) + -1*sqrt(800) - sqrt(800)))\/((sqrt(120)\/sqrt(2))\/sqrt(6)) + 1 + -6*-6*(sqrt(180) + 1)**2.\nAnswer: 440*sqrt(5) + 6517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -122 + 18. Let s = 60797\/6 - 10133. Sort s, -4, h in decreasing order.\nAnswer: s, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 4*f + 4*f)*(2 - 2 - 2*f) + 8*f**2 - 7*f**2 - 13*f**2.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 3:37 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 20*v**2 + 4. Let f be w(20). Let a = 10 + -15. Put 5, a, f in ascending order.\nAnswer: a, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 4 - -11 - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - ((-802)\/14 - (-10)\/35). Let m = 62 - o. Find the third derivative of -4 - 20*s**6 - m + 14*s**2 + 7 wrt s.\nAnswer: -2400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 12:21 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13a1 (base 13) in base 6?\nAnswer: -21043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 5219?\nAnswer: 5219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b. Suppose 5*v - t - 3 = t, 3*v = -5*t + 8. Let j be (-2*v)\/(6\/(-3)). Let o be h(j). Let y(g) = g + 4. Give y(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*k = -3*f + 420, 3*f + 3*k = 339. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 1)*(-8)\/(-16). Let d(u) be the third derivative of 0*u**4 + 0*u**3 + 0 + 1\/120*u**6 + a*u + 1\/120*u**5 - u**2 + 1\/420*u**7. Factor d(c).\nAnswer: c**2*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/326 and 43\/20.\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9378*a + 10 + 6 - 348*a - 4 + 7.\nAnswer: -9726*a + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 2*p - 55. Let q(h) = -h**2 + 9*h + 2. Let a be q(6). What is the remainder when p is divided by 34\/5 - (-4)\/a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a*t*z**3 - 6056*a*t - 2580*t*z**3 wrt a?\nAnswer: t*z**3 - 6056*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) -7 (c) 5 (d) -0.4 (e) 1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 11. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -15. Let o be 3*(2 + 12\/(-9)). Solve 16 = -p*c - o*v, -5*c - 2*v = v + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c + 90 = -14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, 18295618, 2\/5?\nAnswer: 18295618","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*u - 2 - 8, 2*o = -u + 4. Solve 0 = -x + u*l + 3*l + 10, -8 = x + l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6879128750 to the power of 1\/2, to the nearest integer?\nAnswer: 82941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5916.774 milligrams to tonnes.\nAnswer: 0.000005916774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-375 + 3*d - 4*d + 378)*(-12 - 19 + 23) to q + z*d and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4532, 5208, 6346, 7952, 10032, 12592?\nAnswer: 15638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*2*(sqrt(125) + (sqrt(125) - (-1*-1*sqrt(125) + sqrt(125)) - sqrt(125)))*6 + 1)*-4)**2.\nAnswer: -3840*sqrt(5) + 1152016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -395085 less than -395085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -125 - -128. Let p(k) be the second derivative of -k - 1\/15*k**6 + 0*k**2 + 0*k**4 + 1\/2*k**c + 0 + 0*k**5. Find the second derivative of p(i) wrt i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*v + 3, -5*g = 29 - 4. Suppose -5*x = -v*x + 9. Let c be (20\/(-3))\/(x\/1215). Round c to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.13289589.\nAnswer: -0.66447945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*x**2 + 63*x**2 - 2*x + x**2 + 5*x**3 + 3*x to h*x**3 + q + o*x + p*x**2 and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-5\/2)*s*s**(-6)\/s*s**(-4)*s**(-7))**(-4\/7) assuming s is positive.\nAnswer: s**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from acccaa.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**5 - 3*s**4 + 3*s**4 + (-2*s**4 - s**4 - 2*s**4)*(s + 4 - 4).\nAnswer: -3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 440 = -4*s, -4*s = -3*s + 5*m - 132. Let z be 3\/(-5) + s\/20. Find the third derivative of 5*j - 6*j**2 - 3*j**6 - 4*j**6 - z*j wrt j.\nAnswer: -840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -7*j + 6*j - 3*y + 38, j + 2*j - 293*y + 1743 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 10 (b) -6\/7 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8. Let n = -28 - -44. Solve d = -x*d - n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25\/3, 0, 1\/5 in ascending order.\nAnswer: -25\/3, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -45, -158, -347, -612, -953, -1370?\n\"Answer: -38*r**2 + r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n. Let v(b) = 2*b + 1. Let l(p) = -3*a(p) - v(p). Let m(u) be the third derivative of u**4\/12 - u**3\/3 - u**2. Let f be m(2). Determine l(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + -1887?\nAnswer: -187b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -618*j*y**6 - j*y**3 + 5*j*y - 2*y**3 - 170*y**2 + y wrt y?\nAnswer: -74160*j*y**3 - 6*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/15 - 6\/15)*-5. Is n < 2\/851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44*32\/(-880)*(603\/(-72) + 7)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 22. Let g(s) = 83*s + 60. Is g(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.83 in 3\/4, 4, -0.05, -17?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8779.89 decades to months.\nAnswer: 1053586.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/20)\/((-5)\/75*-21)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2706106 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b**2 + 2*b**4 + 6*b**3 + 0*b**4 + 2*b**2 - 6*b - 4 = 0 for b.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (2 - 2 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.9 - 17.9. Let g be (-5)\/(-2)*(-1)\/20. Put 1\/2, g, t in descending order.\nAnswer: 1\/2, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 6*f**2 - 6*f - 7\/6*f**3 + 0. What is the first derivative of n(t) wrt t?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 31*i = n + 26*i - 15, 5*n - 5*i - 25 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**3 - 2*f**3 + 89*f**2 + 6 - 3*f + 2*f**4 + 8 - 13 to o*f**2 + u*f**4 + q + i*f + m*f**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 576.74 litres?\nAnswer: 576740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -0.0849 (c) 23\/6 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -872*z**3 + 6*z - 12. Let y(j) = -2615*j**3 + 19*j - 37. Give -19*t(l) + 6*y(l).\nAnswer: 878*l**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**3\/2 + 450*x**2 - 135000*x - 13064. Factor j(w).\nAnswer: -3*(w - 300)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 8. Let t be ((-4)\/35)\/(28\/(-350)*5). Factor -2\/7*l**2 + j - t*l.\nAnswer: -2*l*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b - 16. Suppose -q + 4 = -4*j, 2*q - b*j = -2*q + 16. Let t = -7 - -4. Sort 5, q, t in decreasing order.\nAnswer: 5, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*z = -70091 - 128031. What are the prime factors of z?\nAnswer: 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v - 4. Suppose -3*p - 6 - 3 = 0, 0 = -q - p + 2. Let g be 4\/((q - 3)*1\/(-4)). Let h(j) = -6*j - 11. Give g*t(w) + 3*h(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**6\/60 + b**3\/2 + b**2. Let g(c) be the first derivative of u(c). Let o(k) = -2*k**2 - 82 + 82. Give o(g(h)).\nAnswer: -72*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.604? (a) 4 (b) 0 (c) 8.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -184*b**3 + 38*b**2 - 13*b - 28. Is n(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381*l = -390*l - 72 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 4*k**2 + 5*k - 4. Let j be s(5). Let z be (-7)\/(-9 + 2) - (2 + (2 - 2)). Sort 1, j, z.\nAnswer: j, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 9 = -3*f, -14 = -4*f + 2*d - 0. Does 4 divide f\/(-4)*(-20 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 3, -2, 438, 8\/5, 14\/41?\nAnswer: 14\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 - c**2 + 2*c**2 + (0*c + 0*c - 2*c)*(-3*c + c + 0*c) + 2*c**2 - 2*c**2 + 2*c**2 - 36*c**2 + 10*c**2 - 15*c**2.\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 315.002 nanometers?\nAnswer: 0.315002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3)*q)**5*q**0*q\/(q*q**(1\/2)*q) assuming q is positive.\nAnswer: q**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117735*v - 295022*v + 177281*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (10 - 5) + 2304\/(-378)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 117617294 divided by 58808647\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(5) + -4*sqrt(20) + -5))**2*5 + ((sqrt(80) + 0)*-2 - sqrt(80)) + -3 + -1.\nAnswer: 3138*sqrt(5) + 12146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**3 - 2895*i**2\/2 - 2898*i - 4797. Determine f so that a(f) = 0.\nAnswer: -1, 966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153196 is divided by 21433?\nAnswer: 3165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 321471 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 238.1046 millennia?\nAnswer: 2381.046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txt when three letters picked without replacement from xxptcgmct.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*t - 402, 9*d = 5*t - 7*t + 1158. What is the greatest common factor of d and 3770?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1968.87 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -14*h**2 + 6*h - 35. Let z(p) = -32*p**2 + 11*p - 65. Let r(m) = 11*o(m) - 6*z(m). Let l(b) = 57*b**2 + 7. What is -5*l(g) + 7*r(g)?\nAnswer: -19*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 158.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.16 + -0.34. Let z = -5.5 - s. Which is the smallest value? (a) -8 (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19170 and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01624264127 to four dps.\nAnswer: 0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124, -3, -40, -1\/24 in ascending order.\nAnswer: -40, -3, -1\/24, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 + 30. Let s = -19 - k. Factor 0*b + 0 - 4\/7*b**s - 2\/7*b**2 - 2\/7*b**4.\nAnswer: -2*b**2*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.17282 - 0.67282. Let n be 0 + 2\/1 + -8. Sort n, x, 3.\nAnswer: n, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/18*25\/((-650)\/39)*513\/18.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -28*s**2 - 756*s - 7. Let l(k) = -13*k**2 - 376*k - 3. Calculate -5*g(y) + 11*l(y).\nAnswer: -3*y**2 - 356*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 1:52 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 349578 minus -0.02838?\nAnswer: 349578.02838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76\/3 + -25. Which is the third biggest value? (a) 0 (b) l (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5499841 is divided by 343739?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/20 (b) 0.1 (c) 1\/5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1245 rounded to three decimal places?\nAnswer: -0.125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37343 and 48257.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -358494*h**4 - 235885*h wrt h.\nAnswer: -4301928*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 5*r**4\/4 - r. Let l(n) be the third derivative of n**5\/60 - 366*n**2. What is l(q(o))?\nAnswer: 225*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 - 2066*j + 12466. What is b(-1039)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 3 = 7 + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 2075 (c) 280\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 23728 - 23552. Solve -91*f - a - 279 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 233 - -123. Let l = q - 175. 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 -46\/645 and -97\/2.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2305 is divided by 790.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 1108 and 1108 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5095 + -5252. What is the biggest value in 3\/5, j, 0.04?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3036951 is divided by 54231?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 5*a**7\/6 + a**4\/3 + a**3 + a - 8. Find the third derivative of j(k) wrt k.\nAnswer: 2100*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 95707758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/3)*(k\/(k*k\/(k\/(k*k**(-7)))*k)*k)\/k*k**1*((k*k\/(((k*k*k*k*k*k**4*k)\/k)\/k))\/k)\/k*k*k*(k**(-4)\/(k*k**3))\/(k**(2\/5))**(-5\/9) assuming k is positive.\nAnswer: k**(-64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205612284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z - 2\/9*z**2 + 0.\nAnswer: -2*z**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 14*n**2 - n + 13. Let g be j(14). Let u be (g\/(-6) + 16\/(-24))*-2. Solve 5*c - w + 10 = 0, 2*c - u + 2 = w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66911211.\nAnswer: 3, 137, 18089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 3*o + 865. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-155)\/310*(-2)\/1*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-2\/11)*p))\/(p\/(p\/(p*p*((p**(3\/2)*p*p)\/p)\/p*p*p))))**(-17\/4)\/(p**(-1)\/p**7*p**3*p*p**(-1)) assuming p is positive.\nAnswer: p**(2803\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8 = 0, -5*x = -46*d + 50*d - 294. What is the remainder when d is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v - 3*v - 4*v)*(-3 + 3 + 2*v**2) + 38*v**3 - 218*v + 218*v to g*v**3 + q + n*v + w*v**2 and give g.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12\/13 + 553\/78. Let d = j - 913\/150. Do d and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2535\/2704)\/((-117)\/(-312))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 11*l**2 + 83*l - 1166. What is v(12)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/31 (b) 19 (c) 1\/4 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 64 in 0, -233, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5012841*m + 5012924*m - 3403 = 0 for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h + 5. Let n(q) = -q**2 - 8*q + 35. Let w be n(-11). What is d(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6*(-10 + 1). Let x = v + 6. Suppose 0*r = -5*q + 2*r + 23, x = -2*q + 2*r + 8. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 16\/9, -1\/26, -685 in decreasing order.\nAnswer: 16\/9, -1\/26, -39, -685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -244\/7 or -35?\nAnswer: -244\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -5*z + 2*l + 23, -4 = l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -2. Let y be 13 - 1 - 2\/x. Suppose j + 3*p = 23, 2*j - 32 = -3*p + y. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 8*q**2 - 9*q - 2. Let y be u(9). Let a be (-5)\/y*(6\/10 - -1). Suppose 0 = -6*m + a*m + 36. Find the common denominator of m and -17\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/25)\/((-24)\/(-15))*(-28)\/(-196)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*v + 18*v - 11 - 10*v)*(-13*v**2 - 11*v**2 + 0*v**2).\nAnswer: 216*v**3 + 264*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 96 = -0*n. Suppose -t = -5*t + n. Sort 4, t, -3 in descending order.\nAnswer: t, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(325) + (-1*sqrt(325))**2 + sqrt(325) + -1 + (-5 + sqrt(325) + (sqrt(325) - sqrt(325)*-2))**2)*6.\nAnswer: -1140*sqrt(13) + 33264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**5\/30 - 19*p**3\/6 + 479*p**2. Let i(n) = 4*n**2. What is i(f(d))?\nAnswer: 16*d**4 + 304*d**2 + 1444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4431, 9026, 13643, 18288, 22967, 27686, 32451?\nAnswer: 37268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15285, -61946, -139957, -249318?\n\"Answer: -15675*u**2 + 364*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7*g**2. Let q(y) be the third derivative of -141*y**5\/10 - 437*y**2 - 7. Calculate a(q(v)).\nAnswer: 5010012*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-10))\/(-5 + 96\/20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 1 - 62 - 1) + (5908 - 5918)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 82*i**2 + 1428*i + 44. Determine c(-25).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 514\/1443 + 23\/39. Is i > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, o: 1, r: 5, h: 1, s: 5, e: 1}. Give prob of sequence ssh.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 1) + 1\/(-1). Suppose 3*d + 4*p = 17 + r, -3*d = -2*p. Determine w, given that 3*w**d - 3*w**2 + 2*w**2 - 3*w**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j - 814401. Let d(b) = 7*b. Give n(d(v)).\nAnswer: 28*v - 814401","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 29, -3\/2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + (1 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/25)\/(21\/70*(-240)\/(-5184)*-18).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.03 (b) -1 (c) 2.4 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -104\/227 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-11 + 15 - 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r**3 - 15*r**2 = 0.\nAnswer: 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5902698*0.2\nAnswer: 1180539.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 93*v - 11. Let s(d) = 281*d - 31. Calculate -17*l(f) + 6*s(f).\nAnswer: 105*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 205, p - 6*p - o + 173 - 30 = 49 + 53 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6658386*w**3 + 3680921 wrt w.\nAnswer: 19975158*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.191 and 738.\nAnswer: 140.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 4. Let g = s - 3. Put g, 2, 4\/9 in increasing order.\nAnswer: g, 4\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 7*u**2 + 3*u - 7. Let b = -3 + 35. Suppose -6*k + 2*k = -2*c - b, 3*k - 13 = -4*c. Is o(k) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100101110000011 - -100011?\nAnswer: 1001100101110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**2 + 3 + 0 - 6 to the form n + v*w + o*w**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 11\/2, 2, 1.7, 21, -0.38?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - q + 1. Let b be p(1). Let t = b - -1. Suppose 12 = o + y - 4*y, o = -3*y - 12. Solve t = -2*i - o*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.7, -0.4, 3, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d - 5. Let k be q(-4). Let j = 5 - k. List the prime factors of ((-9)\/(-12))\/(j\/(-24)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.404 + -0.5457. Let x = o + -0.75. Let l = x + -0.103. What is l rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**3 - 181*i**2 + 48*i + 61. Determine u(45).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 504 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)\/(p**(2\/7)\/p))**(-2\/49)\/(((p\/p**(2\/9))\/p)\/(p*p*p**(-2\/13))*(p\/(p\/p**0)*p)**(5\/7)) assuming p is positive.\nAnswer: p**(59723\/40131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*x - 36*x = -2*y - 0 + 38, 5*x + 3 = -43*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-20))\/((-375)\/(-5625))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50169 + 50170. Let f be ((-2)\/(-6))\/((-4)\/8). Which is the second biggest value? (a) f (b) q (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/d**(-6\/11)*d**5 assuming d is positive.\nAnswer: d**(83\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 6. Let f(l) = -14 + 8*l - l - 21. Suppose 0 = -177*b + 196*b - 114. What is b*f(c) - 35*q(c)?\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -10 + 2*l**2 - l**2 - 1 - 1 - 9*l. Let v be z(10). Let b(d) = -d - 8. Let u be b(-7). Are u and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13726 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) 0.2 (b) 120 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -123461*s + s**3 - 38*s**2 + 1 + 123462*s + 3*s**3 to the form c*s**3 + i*s**2 + b*s + j and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(900))\/sqrt(768).\nAnswer: 5*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 67*z**4\/12 - z**3\/6 - 4*z**2. Is c(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*d**3 + d**3 + 5*d**3 - 7)*(d**2 + 3 - 3 + (1 + d - 1)*(-3*d + 5*d - 4*d) + 0 + d**2 + 0 + (-3*d + 2*d + 2*d)*(2*d + 1 - 1)).\nAnswer: -12*d**5 - 14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2815 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -54*v**5 + 41520*v**4 - 7290062*v**3 - 273551636*v**2 + 951068800*v - 197760000 = 0?\nAnswer: -103\/3, 2\/9, 3, 400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*u + 113 = 38, -15 = -2*s + 5*u. Suppose -4*g = -4 - 4. Solve -2*q + s = g*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 132?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2394052 divided by 14422\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 + 1.5. Let p = 15.4 + t. Let n = p + -11. What is the second smallest value in n, -4\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -148 - 134. Let t = n - -297. What is the highest common divisor of t and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.31 - -2.94. Let o = -3 + m. Round o to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 2*s**2 + 23*s - 3. Let l be n(-6). Suppose 0 = -4*o - l*i + 71, -2*o = -o + 5*i - 22. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/275, -0.2, -13\/19, -11 in descending order.\nAnswer: 0.2, 2\/275, -0.2, -13\/19, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23607*d - 138710 = -21473*d for d.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**4 + i**4 + i**4 - 2*i**4 - i**4 + i**4 + (3*i**3 - 5*i**3 + 3*i**3)*(-3*i + i + 0*i) + 0*i + 2*i**4 + 0*i.\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*s + 461*s - 2952 = 825*s for s.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 5*h + 6. Let x be c(-2). Solve x*j - 4*t - 36 = -8, -2*j + 4 = 3*t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4, -47, -118, -217?\n\"Answer: -14*m**2 - m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16676962?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 25 - 5. Suppose -3*s + n = -0*n - 32, -2*s + z*n = -43. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-2 - 0 - (42 - 47) - -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47 in -3, 2, 1\/16?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 7:19 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-38 + 1)\/(0 - 1) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -55, -192, -415, -730, -1143, -1660, -2287, -3030?\n\"Answer: -v**3 - 37*v**2 - 19*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(475) + sqrt(475) + 0 + sqrt(475) + sqrt(475))**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -8*w**2. Let o(v) = 79*v**2 + 2*v - 27. Determine o(q(u)).\nAnswer: 5056*u**4 - 16*u**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 159*o**2 - 2*o - 2. Let y be p(2). Let m be (-2)\/(-7) - 40\/y. What is the closest to 2\/13 in -2\/7, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3052, 2682, 2310, 1936, 1560, 1182?\nAnswer: 802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26430 - -3633?\nAnswer: -22464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4656 - 18*a**4 + 8*a**4 + 13*a**4 - 2*a + 41*a**3 + a**2 + 4657 as k + b*a**2 + n*a**4 + s*a + h*a**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 25*i + 2511. What is t(-90)?\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15203, -30236, -45279, -60338, -75419, -90528, -105671?\n\"Answer: -h**3 + h**2 - 15029*h - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 14*y**2 + y + 28. Let u be s(-13). Let p be -3*(-2 - (-17)\/(-3)). Calculate the greatest common factor of p and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 15*p**2 - 18*p. Let l(o) = 2*o. Let q(f) = 2*k(f) + 18*l(f). Let y(s) = -3*s. Calculate q(y(a)).\nAnswer: 270*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9593376 a multiple of 3140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -6748823826898.\nAnswer: -6748823826903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 9 = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3085336652?\nAnswer: 2, 1583, 487261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-41)\/(-21) - (1 + (-32)\/56). Let l = d + -71\/42. Let g = 0.1 - 0.4. What is the closest to l in g, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nu when two letters picked without replacement from uunzuuunznww?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2481 - 431 = -g - 571. List the prime factors of g.\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 0. Suppose 2*d - 44 = -y*l, 17 = 5*d - 2*l - 69. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**3 + 48*p**2 + 5*p - 16. Let t(b) = -6*b**3 - 46*b**2 - 4*b + 12. What is -3*h(a) - 4*t(a)?\nAnswer: 6*a**3 + 40*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39 times -1?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - m = 124 + 41, 2*m - 216 = -5*d. Let w = -8 + d. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1213662 and -65\/9.\nAnswer: 3640986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 2:12 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6996 divided by -132?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1789408 and 1686.\nAnswer: 5368224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -110, -158, -204, -248?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3*i**2 - 11912*i + 35067*i - 11916*i + 2 - 11244*i.\nAnswer: -3*i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 1544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iihh when four letters picked without replacement from {i: 4, h: 7}?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 10:34 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(88) - sqrt(88)*-1) + sqrt(88))*3)\/sqrt(2)*5)**2 + (sqrt(99) - ((sqrt(99)*1 + sqrt(99))*-4 - sqrt(99)))\/(sqrt(144)*6) + 2.\nAnswer: 5*sqrt(11)\/12 + 89102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5536, -3447, -1358, 731, 2820?\nAnswer: 4909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 15 = 5*m. Suppose w + 7 + m = 0. What is the units digit of 39*(w\/6 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*w - 217 = 7 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) - (1*sqrt(42) + sqrt(42)))*-1)\/(sqrt(216)\/sqrt(4)) + ((sqrt(63) - ((sqrt(63) - (sqrt(63) + 2)) + 2)) + sqrt(63) + 6*(sqrt(63) + 1))**2.\nAnswer: 865*sqrt(7)\/3 + 4068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 22. What is the second derivative of -i + z*i - 7*i**4 + 2*i wrt i?\nAnswer: -84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2010938?\nAnswer: 2, 43, 67, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22808707?\nAnswer: 911, 25037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/20)\/(4\/10). Let s(g) = -g**2 - 3*g + 8. Let q be s(2). Put c, q, -4 in descending order.\nAnswer: c, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.18 + -0.12. Which is the closest to 0.1? (a) y (b) 4\/3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 159, 153, 147, 141, 135, 129?\n\"Answer: -6*i + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 m when two letters picked without replacement from wwrm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + 0 + sqrt(13) + sqrt(13) - (sqrt(117)*2 + sqrt(117))))**2.\nAnswer: 378*sqrt(13) + 5814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8977 + -1319627\/147. Let p = i + 950\/49. Does 20 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*l - 6, -2*l = -7*l - 4*t + 16. Let x = l + -2. Which is the closest to 0.1? (a) -0.3 (b) 0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 6) to base 3\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 6:01 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.021, 1\/5, -1, 6, 3, -2, 857?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -9.7\nAnswer: 5.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**5 - 3*n**4 - 3*n**3 - n**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7902861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/7))**(8\/7))**(-2\/139) assuming k is positive.\nAnswer: k**(32\/6811)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - g**2 - 3*g - 22. Let a be v(-3). Put -1, a, -5, -25 in decreasing order.\nAnswer: a, -1, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 3*l - 2. Let b = 41 - 20. Let u = b + -23. What is d(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*b - 24*b = 3290. Let m be 0 + 50\/(-18) - 4\/18. Sort 4, b, m.\nAnswer: m, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*z = -5355, -28*y - 3248 = -31*y - 4*z. Is y - (2 - 5) - -9 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -18*r. Let m(q) = 245*q**2. Determine j(m(d)).\nAnswer: -4410*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*(-2)\/6 + (-1)\/((-12)\/113344).\nAnswer: 2, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 170 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let o = -0.73713 + -0.06287. What is the smallest value in 1, t, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.116969 litres?\nAnswer: 116.969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6 - 1 = -3*s, 4*l = 2*s + 14. Suppose -u - 21 = -a + 71, -3*a + l*u = -281. What are the prime factors of a?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 1:48 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2)\/(10\/4 - 2). Let s(c) = r*c - 5 + 12 + 9 + 6. Let l be s(-11). Solve l*v - 5 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(704)\/sqrt(4)))**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(44*(-17)\/8789).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 3 (c) -138.6 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2 + 388*l**3 - 390*l**3 - 5 + 1 - 11*l**2 - 1 + 5*l. Let d = 11 + -8. Let i(s) = -s**3 - 5*s**2 + 2*s - 3. Determine d*m(k) - 7*i(k).\nAnswer: k**3 + 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-5)*z**(-2)*(z\/z**5)\/(z\/(z\/z**7)))**(8\/9))**(1\/10) assuming z is positive.\nAnswer: z**(-28\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -142.22988 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*b - 137*b - 3267 = 0 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16089847.\nAnswer: 433, 37159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/(-21)*3\/(-2). Suppose -w = -20 - o. Suppose -2400 = 26*i - 6976. What is the highest common divisor of w and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -1\/8 (c) 1.1 (d) 0 (e) 0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 + -3. Let i be 2\/(-6) - h\/(-15). What is the tens digit of 159\/(-6)*(-8)\/i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 6) + 10 + -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 180591, 180747, 180903, 181059?\n\"Answer: 156*s + 180435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)\/i)\/(i*i\/(i*i**5*i)*i)*(i\/(i**1\/i*i))**(-29)*((i**(2\/5))**(-35))**(-2\/31) assuming i is positive.\nAnswer: i**(59\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqj when three letters picked without replacement from {w: 2, q: 1, j: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -0*b - 2*b. Calculate the least common multiple of b and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1126.779645 rounded to the nearest 10?\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/15, -0.05, -705, -0.3 in decreasing order.\nAnswer: 2\/15, 0.1, -0.05, -0.3, -705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 + -133. Let l = -56.5 - s. Let y be 1 + (-12)\/4 + 24\/18. What is the second smallest value in 4, -4, y, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) -37035 (b) -0.8 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 100886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669.\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68866 and 164?\nAnswer: 5647012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44603*k**4 - 2*k**2 - 288131*k.\nAnswer: -1070472*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 20909817.\nAnswer: 7\/20909817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in 4, 0.16, -70\/3, 2\/21?\nAnswer: -70\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 9\/13 - 0. Let i = m + 37\/91. Let h = 3 + -1. What is the closest to 1 in i, h, 6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1\/6, -60.007?\nAnswer: -60.007","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/10 - 177*k**3\/10 + 7743*k**2\/10 + 7921*k\/10.\nAnswer: k*(k - 89)**2*(k + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64415769?\nAnswer: 3, 11, 1951993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -15. Suppose -j*o = 2, 0*o + 5 = l - o. Let f(s) = -s**2 + 9*s + 2. Let y be f(8). Solve -h + l = -2*n, -4*n - n = -4*h + y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-5) - (-30)\/(-50). Suppose 4*c - c + 6 = w. What is the tens digit of 1 + c + (52 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Let k(q) = q**3 + 5*q**2 - 6*q + 4. What is the remainder when 67 is divided by k(-5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w\/w**(-9)))*w*w**(-2\/7))**(1\/13))**(5\/7))**42 assuming w is positive.\nAnswer: w**(2250\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -80*(12\/100*-20)\/3?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -893003 divided by -893003\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45975, 90768, 135561, 180354?\nAnswer: 225147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -916, -7248, -24430, -57886, -113040, -195316, -310138, -462930?\n\"Answer: -904*z**3 - z**2 - z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, j: 1, k: 4, u: 3, y: 4, n: 1}. What is prob of picking 1 y and 1 n?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -10*b**2 + 255*b + 400. Determine v(27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498230718.\nAnswer: 2, 3, 83038453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1311 * 19.\nAnswer: -24909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513*b - 514*b + 1 = d, 2*d = 3*b + 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 10. Let r be a(0). Suppose r*h - 58 - 42 = 0. Calculate the remainder when 30 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -547, -2079, -4663, -8305, -13011, -18787?\n\"Answer: -s**3 - 520*s**2 + 35*s - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(2\/1))\/(12\/96). Suppose -s*z - 3*r = -3*z - 8, 5*r = -2*z - 12. Suppose -h + 27 + 65 = 5*u, u - 31 = z*h. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4 - 2, 0 = 2*y + 4*g - 2. Let q(l) = -2*l**2 + 11*l + 7. Let s be q(y). Solve a - 4*u = 14 + 3, -4*u - s = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l - 80. Let c be m(21). Solve -c*o = -3*o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 9:23 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16832 + 16837. Let a(n) = 2*n - 5. Let o be a(-8). Put x, -4, o in decreasing order.\nAnswer: x, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*j - 54*j - 120 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 35, -0.19, -5, -1, 1, -0.007?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3336*b**4 + 5181*b**2*r**2 + b**2*r + 28726*b*r - 32*b + r**2 wrt b.\nAnswer: 40032*b**2 + 10362*r**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 827150?\nAnswer: 2, 5, 71, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -654 + 659. Suppose t = 3*p + 16, 3*t - p + 3*p = 4. Suppose -15 = -l*m, -66 = -3*z - m + t*m. What is the remainder when 122 is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15707743 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21187125799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -1\/5, 3\/2, -34?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**3 - 5*b**2 + 4*b + 4. Let d be (-12)\/(-10)*5\/2. Let m(l) = 2*l + 8*l**d - 1 - 4*l + l - 7*l**3. Let o(r) = h(r) - m(r). Factor o(w).\nAnswer: -5*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4289 - -4325. Which is the smallest value? (a) -0.1 (b) 0 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5221488918 + -0.14.\nAnswer: 5221488917.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(1771\/121))\/(22\/(-4))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u - 1. Let x = -2159 - -2183. Suppose -t - 4*t = -45. Let m(f) = -1 + x*f - t*f - 5*f - 9*f. What is 2*m(w) - p(w)?\nAnswer: -3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i - 3*i)*(14*i + 19*i - 52*i)*(55*i + 29 - 54*i + 9).\nAnswer: 38*i**3 + 1444*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 183392008 to the nearest integer?\nAnswer: 13542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: a6a (base 12) to base 10\nAnswer: 1522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 559 + 623 + 2274*g**3 + 628 - 762*g**3 - 760*g**3 - 750*g**3 - 1810.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.0373, -16, 4?\nAnswer: -0.0373","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 3*z**2\/2 - 2*z + 49. Determine y(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourteeen ninths of a week in minutes?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446288?\nAnswer: 2, 27893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 40*c**3 - 2*c**2 + c. What is the remainder when i(1) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 17*q - 13*q. Let t(p) = -25*p - 10. Let n be t(q). Suppose 4*j = -j + n. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -34, -72, -110, -148?\n\"Answer: -38*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**2 - 72*z - 8. Calculate h(-24).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -8176.\nAnswer: 1\/4088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3) + 7\/3. Suppose n - 2*n - 15 = 3*y, 10 = -5*n - c*y. Solve 4*b - 10 = 2*f, 0 = -3*b - 5*f - n - 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -1 - (-3 - -6). Let y = k - -3. Suppose y = 3*q + 2*q. Let s(z) = -z**2 + 4. Give s(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2.5 (c) -5.343 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 + 114 = -3*i, 5*g + 32 = 4*i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.11543 * -9420\nAnswer: 1087.3506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is b7 (base 16) in base 8?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 105468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 59\/5 of a minute?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 + 3*b + 3. Let p(n) = 204*n**2 - 99*n**2 + 0*n - 106*n**2 - 3 + 9*n. Let u be p(9). Determine i(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + sqrt(176)*-1 - sqrt(176)) + 2)*-5 - (6*(sqrt(176) - -1*sqrt(176)) + 4 + -1))*-5.\nAnswer: -35 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c + 20. Let s(b) be the third derivative of b**7\/2520 - 11*b**4\/6 + 64*b**2. Let l(a) be the second derivative of s(a). What is l(k(f))?\nAnswer: 4*f**2 + 80*f + 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -94072.9?\nAnswer: 28221.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18 - -18)\/(1 + (-6)\/2). Solve y = -t + 3*n + 4 + 8, 0 = -4*t - 4*n - 32 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, q: 4, x: 2}. Give prob of picking 1 x and 3 n.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 22*l**2 - 20*l + 105. Let g be u(21). Let r = -38 + g. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 4 (c) -31 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-870)\/261)\/(29404\/(-5882)) - (-2)\/(-3). Which is the third smallest value? (a) -5 (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005071 rounded to six decimal places?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21734999?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1903*h - 1902*h - 1897*h + 7586*h - 1877*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjbbjfjjjfjbbfbfbbf. What is prob of sequence jbf?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -38*w + 494. Let u be s(46). Which is smaller: u or -1255?\nAnswer: -1255","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**2 + 28*a - 57. What is c(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2465, -2487, -2523, -2573, -2637?\nAnswer: -2715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-60))\/((-4)\/(-6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 10*v**2 - 10*v + 8. Let h be 2*(1 - 13\/2). Let n be z(h). Put -5, n, 24 in descending order.\nAnswer: 24, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28*(15\/12 + -4). Let s = 111 + v. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -450 divided by 18.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v**3 - 55*v**2 - 28*v + 15. Give z(-6).\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 q when three letters picked without replacement from tbwiotbtttooibqtoi?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 10. Suppose -2*j + 3*z = 4*z + 2019270, -d*j - 5*z - 4038540 = 0. Let u = j - -1909635. Round u to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15828 + -15773. Let a(p) = -3*p**2 + 170*p - 269. Determine a(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169274221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54780?\nAnswer: 2, 3, 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/11, 0.8, 4, -82765, 1\/18, -1\/3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 378*n. Let x(v) = -55161*v. Let m(l) = -729*i(l) - 5*x(l). Let c(s) = 5*s. What is c(m(r))?\nAnswer: 1215*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 11 = -5*c + 1, 0 = 3*c - 6. Suppose 163*r - 270 = 26 + 193. Sort b, -3, r, -4.\nAnswer: -4, -3, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566166109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-25)\/30)\/((-9)\/(486\/60)))\/((-50)\/125)\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 v when four letters picked without replacement from {v: 6, y: 5, s: 4}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130260 is divided by 1618.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 3:24 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 3, -1\/9, 1\/2, 0.06?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6022.028 + -6004. Let d = -30 - -12. Let g = i + d. Round g to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20184, -40165, -60144, -80121, -100096, -120069?\n\"Answer: o**2 - 19984*o - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 125*n - 88. Let r be c(3). Suppose -15736 = 279*t - r*t. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1 + (2 - 3 - 1)*(4 + 0 - 5) - 3 - 2 + 3 + 3 - 1 - 1 - 1 + 3 + 1)*(r + 4*r - 3*r).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 269 + -268. Is 4381 + (k - 30\/(-6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 6:08 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.53805 to 3 decimal places.\nAnswer: 0.538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1335 - 1315. Solve o = -17*w + 21*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -505*z**6\/6 - z**2\/2 + 1293*z - 6071. Find the second derivative of d(o) wrt o.\nAnswer: -10100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -1289*o - 68314. What is s(-53)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/13 (b) 5 (c) 2\/2798029 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 1. Let x be y(-1). Suppose -k - 4*g + 34 = 0, -4*k - k = -g - 254. Suppose x*i + 5*i = k. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -2*o - 19*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -21*a**3 - 141*a**2 - 78*a + 214. Let x(y) = -10*y**3 - 70*y**2 - 40*y + 108. Let g(k) = -6*o(k) + 13*x(k). What is h in g(h) = 0?\nAnswer: -15, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 219 = 3*q + 2*f, -f - 228 = -3*q. Is 10 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 81*u**2 - 198*u - 136. What is a(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011000 (base 2) in base 11?\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v**8\/10080 + v**7\/5040 + v**6\/1080 - 5*v**3\/3 + 5. Let a(w) be the third derivative of b(w). Find p such that a(p) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**6 - 7*q**6 - 3*q**6 - 2*q**2 wrt q?\nAnswer: -960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1392087, -1392084, -1392081, -1392078?\nAnswer: -1392075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5647, -11336, -17025?\nAnswer: -22714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**3\/3 + 29*v**2\/2 - 2*v + 1230. Let x(o) = -o - 1. What is g(j) + x(j)?\nAnswer: j + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**3 + 104*r**2 + 35*r = 0.\nAnswer: -1\/3, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 21*q + 115. Let p be g(-10). Solve -2*j + p*u = -4*j + 25, 0 = -3*j - 5*u + 25 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 1608\/36 + 12 - (8\/(-6) + 3)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 5*g + 5. Let y(r) = -r**3 + 9*r - 7. Let v(s) = -3*s**3 + 28*s - 21. Let q(l) = -2*v(l) + 7*y(l). Calculate -5*q(f) - 7*w(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - j + 6. What is q(4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 621*s + 416*s + 625*s - 1661*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13 - -1)\/(-3) - 1. Suppose -5*s = m - 12, s = d*m + m + 15. Let u be ((-1)\/(-2)*0)\/s. Is -2\/15 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 5:00 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 276779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.8 from -96604.\nAnswer: -96604.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**4 + 4*r + r**4 - 3*r + (-3087*r**3 + 4398*r**3 + 11345*r**3)*(0*r + 3*r - 5*r).\nAnswer: -25314*r**4 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5979 + 6063. What is the remainder when 581 is divided by p?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + -3.6. Suppose 0 = -13*l + 108 - 30. Suppose 36 = -0*t + l*t. What is the biggest value in t, x, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccccccc. What is prob of sequence cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 589*a - 297*a - 3*z = 293*a - 38, 0 = 3*a - 2*z - 81 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 308 + 307 - 922 + 317 - 11*w + 28*w to the form b*w + z and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z + 2. Let b be r(-4). Suppose -3*d = -5*g + 17, -g - 5*d = b - 3. Calculate the highest common divisor of g and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 f when three letters picked without replacement from zffffffzfzfzff.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((253\/1012)\/(46\/16))\/(-1 - 1)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68212.\nAnswer: 2, 17053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 80. Suppose -16 = -2*j + 2*m + 3*m, 4*m = 3*j - k. Suppose 3*z + 14 = 68. Calculate the highest common divisor of j and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o - 8*o - 2*o)*(-1885 + 1254 - 2206) + 2*o - 6*o + 3*o + (-o - o + o)*(2 - 2 + 2) to the form l*o + j and give l.\nAnswer: 17019","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 94*g**3 - 10*g**2 + 4*g + 7. Suppose -26*a = -26 - 78. Is c(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**2\/6 - 11216*m\/3 - 7477\/2 = 0.\nAnswer: -22431, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -134*i - i**2 + 272*i - i**2 + i**3 - 137*i - 2*i**2 + 4. Determine t(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 14*v - 4*s - 24 = 0, -v - 3*s = -24. Suppose -21*r + v*r - 6 = 0. Which is bigger: r or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/((-51)\/(-3))*-4*(-66)\/360?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(((y\/y**(-2\/31))\/y)\/y*y))**(2\/15)*(y\/(y*y**(15\/7)))**(-3\/14) assuming y is positive.\nAnswer: y**(26609\/45570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**2\/2 - 1. Suppose 1 - 2 = y. Let f be -1*(4 + -1) + y. Let s(g) = -2*g**2 - 4*g. Give f*v(b) + s(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 52, 127, 296, 607, 1108, 1847, 2872?\n\"Answer: 8*n**3 - n**2 + 22*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96 + 23. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**2 + 182106*b + 6551928 = 0.\nAnswer: -60666, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 117 and 6.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 87.0587 (b) 4 (c) 0.2 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 t, and 1 d when three letters picked without replacement from {b: 1, d: 1, c: 2, t: 1, m: 4}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 967373, 1934727, 2902083, 3869441, 4836801, 5804163?\n\"Answer: w**2 + 967351*w + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rczgg. What is prob of picking 1 r and 2 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -25*o + 5. Let s be m(0). Suppose 12 - 37 = -s*f. What is the highest common divisor of 170 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 108 = 4*v + y, 0 = 3*v + 5*y - 64. Calculate the highest common divisor of v and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -424 in 0.52, 3\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -570137*g - 6720 = -570277*g for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**2*w**2 - 824*m**2 - 5*m*w**2 wrt w?\nAnswer: -4*m**2*w - 10*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}