diff --git "a/data/dm_maths/full_data_1/1247_11255.jsonl" "b/data/dm_maths/full_data_1/1247_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1247_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve -427*l = -453*l + 52 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 101 = 21. What is the greatest common divisor of v and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69.66 - 0.055\nAnswer: -69.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1507*o**2*y + 5676*o*y wrt o?\nAnswer: 3014*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -34*n**2 + 11*n + 159. Let o(w) = 12*w**2 - 4*w - 53. Calculate 4*b(a) + 11*o(a).\nAnswer: -4*a**2 + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*-45*18\/(-243).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4 = -3*i, -5*i = 3*r - 985 + 982 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 934 + -931. Find the second derivative of -77*c**3 + 36*c**4 - 26*c + 77*c**3 - k*c**4 - 2 wrt c.\nAnswer: 396*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595572.\nAnswer: 2, 3, 31, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, y: 5}. What is prob of sequence yyyy?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*l - 1. Let a be (3\/(-4))\/(l\/12). Differentiate -3*y**a + 0 + 4*y**3 + 2 with respect to y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 7*y**5 - 47*y**4 + 91*y**3 - 61*y**2 + 2*y + 8 = 0?\nAnswer: -2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31582.1016 minutes to weeks.\nAnswer: 3.133145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 26*g**2 - 25 - 42*g**2 + 18*g**2. Let v(z) = -z**2. Calculate v(a(u)).\nAnswer: -4*u**4 + 100*u**2 - 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12734*s - 2772*s + 3220*s.\nAnswer: 13182*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.029?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2694092 or 2694090?\nAnswer: 2694090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, r: 2, t: 3, e: 1, m: 3, h: 1}. What is prob of sequence bm?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 430, 436, 446, 460, 478, 500?\nAnswer: 526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5378.\nAnswer: 2, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.5302 and -3151543.\nAnswer: -3151544.5302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 13397*i - 832. List the prime factors of g(4).\nAnswer: 2, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aap when three letters picked without replacement from ttpppatappappatp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 122211 - -42322?\nAnswer: 204533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004478159 to five dps.\nAnswer: -0.00448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 - 0.6. Let p = -12185\/4 - -3046. Suppose -2*z = 2*v + 26, 13*v = -3*z + 18*v + 1. What is the smallest value in p, z, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1692828 and 282138.\nAnswer: 1692828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 less than or equal to 142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 19*h**2 + h + 21. Let m be u(-19). Let p be -1*(2 - m)*(-10)\/(-20). Let x = -38 + 43. Solve x*l + 10 - 35 = p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 a, and 1 i when three letters picked without replacement from ajjjjjajajjjid?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7*m**3 + 16*m**2 + 34*m - 1. Let g(c) = -8*c**3 - 17*c**2 - 36*c - 1. Let u(j) = 5*f(j) + 4*g(j). Is u(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(-442))\/((-27)\/36)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 145981 or 17?\nAnswer: 145981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -109610.7 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -245 not equal to -232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35853319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 101*y + 1257. Let n be w(14). What is the greatest common divisor of 11388 and n?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2 = -t + 28, -3*k + 190 = 5*t. Is t a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n**3 - 3*n - 1. Let w be z(-2). Let u be -8 + 3 - (-250)\/5. Let b = w + u. Solve 0 = -b*r - 0*r + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6783 is divided by 212.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 46995 + 42468 = 13*u. What is the thousands digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*q\/q**(-4)*q)\/q)*q**4)**(-4\/7)*(q**(-2\/5))**45*q**2\/(((q*(q**(-1)*q)\/q)\/q)\/q) assuming q is positive.\nAnswer: q**(-94\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 - 7. Let n(q) = 199*q**2 + 42. Let s(i) = n(i) + 6*o(i). Let p(c) = -7*c**2. What is p(s(h))?\nAnswer: -229327*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + 0.8. Let s = -1.3 + j. Let r = -11.4 + 15.4. What is the second biggest value in r, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/4 - 339*f\/2 + 675\/4.\nAnswer: 3*(f - 225)*(f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/8)\/((-1)\/2). Suppose -k*j = 3*o - 23, 5*j - 3*o = j + 13. Solve 0 + j = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3\/5 - 332*u**2\/5 - 760*u - 2240.\nAnswer: -4*(u + 5)*(u + 8)*(u + 70)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 9)*(-6)\/15. Suppose 17*g = 14*g + 153. Suppose -g*a + 49*a = 6. Let z(f) = 2*f - 6. Let p(o) = 3*o - 7. Give a*p(q) + y*z(q).\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29, 29, 21, -1, -43, -111, -211, -349?\n\"Answer: -k**3 + 2*k**2 + k + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 11:29 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c. Let z(s) be the first derivative of s**3\/3 + 5. Calculate z(t(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6661 is divided by 2797?\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2195775 and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -135*u + 1488. Let l be a(11). Suppose 2*k + 3*k + o - 14 = 0, 12 = -4*k + 5*o. Let n(p) = p - 2*p - 4*p + k. Determine n(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09933 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2)*(7 - 1 + 3)*(-o + 0 - 1 - 2) to q + s*o and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84 + 166. Differentiate 340*h**3 - 107*h**3 - t*h**3 + 35*h**3 + 192 wrt h.\nAnswer: 558*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -29644?\nAnswer: -29644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17283 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -170 + 166. Let x = -2 - 4. Let i be x\/12*0\/(-1). Which is the closest to i? (a) -1\/5 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31866.\nAnswer: 2, 3, 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(2\/9)\/u*u))**31)**(25\/2) assuming u is positive.\nAnswer: u**(5425\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*36\/(-51)*(-952)\/(-9996))\/((-3)\/(-21)).\nAnswer: -24\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 477972 by 53108.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**2 - 4 - 3*l - 7*l**2 + 9*l - l**2 - 7*l. Give n(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30393 divided by 307.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.4 - -12. Let d = s - 1.1. What is the third biggest value in d, -3\/2, -0.1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*k + 5*a - 21 = 0, -3*k - 9 = -5*a. Solve -k*o - 3*j = 7, -5*o + 3*j + 25 = -10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 7)*(-6*p - 23*p + 2*p) + 0*p + 5*p - 3*p.\nAnswer: 164*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52.89 + 52.8899994902. Round g to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/6 + (-15)\/30. Sort 4, -1\/5, n in ascending order.\nAnswer: -1\/5, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.093, -2\/269, -4?\nAnswer: -2\/269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 152 (base 14) to base 16\nAnswer: 10c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 7512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**3 - 32*b**3 + 69*b**3.\nAnswer: 31*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11384247 divided by -8.\nAnswer: 11384247\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*v + 3*v + 28*v + 2*v + 13*v - 28*v - 4*v.\nAnswer: 59*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 22. Suppose -3*s = -5*k - 320, s + v*k - 104 = 5*k. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**3 + 1432*z**2 + 1989*z - 1714. Determine l(-285).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 54. What is the fourth biggest value in q, 2, -5, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -30. Let v = f - -5.033. Round v to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4821743*h**2 - 314158*h + 5161. Let l(a) = -241087*a**2 + 15708*a - 258. Let q(i) = -6*b(i) - 123*l(i). Factor q(v).\nAnswer: 3*(491*v - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 53*q - 1. Let g(z) = -z**2 + 115. Determine g(l(u)).\nAnswer: -2809*u**2 + 106*u + 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*55.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**7\/1050 - 7*u**6\/600 + 3*u**5\/100 + 7*u**4\/120 - u**3\/3 + 351*u**2. Find d, given that y(d) = 0.\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28282817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 9 = -5*t. Let x = 14 - t. Let p be 4\/(-18) + (-1)\/(-45). Sort -1, p, x in decreasing order.\nAnswer: x, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 0)*(-7*w**2 - 29*w**3 + 7*w**2)*(-3 - 4 + 25) to v + k*w**2 + m*w**3 + z*w and give m.\nAnswer: 1044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(4800) + 0 + 5) + 4 + -3.\nAnswer: 11 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/38*(-12882)\/8136.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 5*w + 23, 2*u + 16*w = 20*w + 16. Find the second derivative of -x**3 + 27*x - 4*x**3 + u*x**5 + 17*x + x**5 wrt x.\nAnswer: 140*x**3 - 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 2577 = -771. List the prime factors of m.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3479, -3482, -3485, -3488?\n\"Answer: -3*g - 3476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*k + 9*k + 54. Let u be (3\/(-9))\/(31\/(-15) - k). Sort -3, u, 3, 2.\nAnswer: -3, 2, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -616 + 1450. List the prime factors of f.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/2)\/(c*c**(2\/5))*(c\/(c\/(c*c**(-12))))\/(c\/(c\/(c*c**(-2\/39)\/c*c)*c)) assuming c is positive.\nAnswer: c**(-5011\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3 + 2 + (0 + sqrt(2187))*-2)**2 + -3.\nAnswer: -540*sqrt(3) + 8769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14203\/22 or -645?\nAnswer: -14203\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9760070?\nAnswer: 2, 5, 683, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -s - 98. Let w(n) = -n**3 + 5*n**2 + 6*n + 2. Let l be w(6). Suppose m = l*m - s. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 788 is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9660, 19344, 28908, 38292, 47436, 56280?\n\"Answer: -10*d**3 + 9754*d - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - -5.3. Let p = k - 25. Let d = -940\/7 + 134. Which is the nearest to p? (a) 2\/7 (b) 0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**2 + 1070*m + 7616. Give o(-7).\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 6 = 10*t - m, -m - 2 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 35. Let l = -14.102 + -20.898. Let s = y - l. What is the nearest to s in 1.1, 1\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-18)*-6*(-73)\/((-28762)\/(-591)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 16. What is x rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 109 + 89 = 0. Find the second derivative of 27*d - 18*d - 2*d - 13*d**t + 12 wrt d.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 18 = 2*s - 0*c, s - 3*c = 0. Suppose -5*f - 1 + s = 0. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -640 - -657. Sort 2, l, -5 in increasing order.\nAnswer: -5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -253 + 219 - 2\/(234\/(-3915))?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*(b*b\/(b\/b**(-1\/6)*b))\/b*b)\/b))\/b)\/b**(-5) assuming b is positive.\nAnswer: b**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + 0 + sqrt(432) + 4 - sqrt(432)*2*3) + (sqrt(432) + (sqrt(432) - -2*(0 + sqrt(432))) - (1 + sqrt(432))*6))**2 + -4.\nAnswer: 288*sqrt(3) + 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-12)*3\/2. What is the common denominator of a\/4 - (-136)\/672*-9 and -95\/34?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000016239 to seven dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 m when four letters picked without replacement from {j: 1, m: 4, w: 7, o: 6}.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -54, -124, -222, -348, -502, -684?\nAnswer: -894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1206 - 50*q**2 - 498 + 31*q**2 - 708 + 57*q**2.\nAnswer: 38*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001 times 10?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 324\/(-78)*(-85956)\/(-4408)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 747317 to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 39.5. Put 2\/9, -2, p in ascending order.\nAnswer: -2, p, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -4 + 4*q**2 - 1\/2*q**3 + 2*q. Let m(x) be the first derivative of n(x). Let u(s) = -4*s + 9. Calculate -7*m(z) + 6*u(z).\nAnswer: -3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 + 186*p + 3. Let y(m) = 16*m**2 + 930*m + 16. Calculate 11*c(t) - 2*y(t).\nAnswer: t**2 + 186*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 1362 + 1402 = 0. Which is the smallest value? (a) -2 (b) p (c) -194 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7360 and 8320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + (-2)\/4*-2. Let q(a) = -6*a. Let b be (0 - 2)\/(-1*2). Let x = b - -4. Let g(t) = 7*t. Calculate d*q(c) + x*g(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 55, 127, 205, 289, 379?\n\"Answer: 3*h**2 + 63*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 35e - 11?\nAnswer: 34d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**5 + 10*r**4 - 12*r**3 + 4*r**2 - 13*r. Let x(o) = -o**5 - o**4 + o**3 + 2*o. Let k(h) = v(h) + 6*x(h). Suppose k(n) = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {v: 7, s: 6, q: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000283475 to seven decimal places.\nAnswer: -0.0000283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29670422?\nAnswer: 2, 29, 511559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1562041889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c2328 (base 14) to base 10.\nAnswer: -467104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -300*p**2 - 2764497*p + 27645.\nAnswer: -3*(p + 9215)*(100*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093357549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*x + 53, 0 = -4*x - 5*w + 49 - 0. Let q(a) = -a**3 + 12*a**2 - 10*a - 11. Calculate q(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 5 + 5*h**2 - 6*h - 5 + h = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 12:57 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -8) + (-11 + 16 + 5 - 17) + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**2 - 36*w - 31. Let o be q(-11). Suppose 0 = -o*s + 3*j + 129, 4*s = 3*s - 5*j + 45. Calculate the smallest common multiple of 138 and s.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 45\/(-75) + (-344)\/10. Let z be (-3)\/(-7) - 2540\/v. Let p = z - 43. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15\/2 (b) 0.2 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88974706424*k + 1338*k**3 + 88974706424*k.\nAnswer: 1338*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w**2 - 5*w + 577. Let t(l) = -5*l**2 + 4*l - 571. Determine 4*h(n) + 5*t(n).\nAnswer: -n**2 - 547","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36*(-18)\/(-24))\/3. Suppose -2*v + 1484 = 5*i, 3*v = 2*v - 3*i + 741. What is the greatest common divisor of g and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. Let m be -9*(-2)\/(j + 0). Let o be 5\/((-50)\/4)*1. What is the third biggest value in o, 3, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6605 divided by -3.\nAnswer: 6605\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 17*c**5\/6 - 169*c**4\/6 + 2*c**2 + 54*c - 11. Find the second derivative of o(d) wrt d.\nAnswer: 340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c - 3. Let b be o(6). Let p = 4 + -10. Let f be ((-5)\/(-15))\/((-1)\/p). What is the second smallest value in -1\/6, b, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.488264 litres?\nAnswer: 1488.264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6050269 (base 10) to base 15\nAnswer: -7e7a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 5 (c) -2 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 b when three letters picked without replacement from {e: 1, p: 4, g: 5, r: 5, b: 2, w: 3}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by -57.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 38 = 2*y, 0 = 2*v - v - 4*y - 36. Let h = v + 59. Suppose -p + 44 + 8 = c, -2*p - 96 = -2*c. What is the highest common divisor of c and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4935109?\nAnswer: 673, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 11 = 3*c, 3*c - s - 9 = -32. Let o be c\/((-72)\/10) - (-19)\/4. Solve y = o*y + 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*i - 73*i - 63*i + i + 2 as w + j*i and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -20 + i**3 + 999*i**2 - 536*i**2 - 468*i**2 - 4*i. Calculate c(5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n - 7. Suppose -5*y + 18 + 2 = 0. Let x be f(y). Let q = -1381 - -1381.11. Which is the second biggest value? (a) x (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1464 + -10244\/7. What is the smallest value in -1, -4, y, -553?\nAnswer: -553","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3609 - -5.6351. Let x = 58 + -64. Let g = x + r. Round g to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.11 - 12.06. Is b smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.1511, 2\/23, -2\/9, -131?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h = -30*h + 68. Find the second derivative of -h*t - 53*t + 16*t - 7*t - 46*t**2 wrt t.\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**3 + 48*v**2 + 2*v. Let g(x) = x**3 - x**2 - x. Calculate d(i) + 3*g(i).\nAnswer: -i**3 + 45*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 2*f + 4. Let u be q(-3). Suppose 7*l + v - u = 3*l, -2*v = -3*l + 19. Suppose -5*z + 9 = -1. Calculate the remainder when l is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-843)\/1124)\/(((-27)\/(-39))\/3).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35513096?\nAnswer: 2, 4439137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1635424?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j + 182*j + 29891400 = 0. What is j rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.3 + 3.29964. What is i rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 3, 2 in increasing order.\nAnswer: -4, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585286?\nAnswer: 2, 13, 22511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d + 0 + 0 + (4 - 2 - 6)*(8 - 8 - d))*(3 - 6 + 1)*(-4*d**2 + 18 - 18) to s*d**3 + u*d + b*d**2 + g and give s.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3182058 is divided by 5534?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170 and 1445.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.153 - 0.053. Put 0.4, -3, i, 2\/31 in descending order.\nAnswer: 0.4, i, 2\/31, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109 divided by -34.\nAnswer: -109\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10350 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*t + 2)*(2 - 2 - 3*t)*(0 - 8 - 13).\nAnswer: -126*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*(i\/(i*i\/i**(-22)*i))\/i*i*i)\/i*i*i*i)*i*i)**25 assuming i is positive.\nAnswer: i**575","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2 + u**3 + 12*u**2 + 3 to the form x*u**2 + k*u + l*u**3 + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1. Let k(r) = -r - 9. Let v(m) = -2*k(m) + 6*z(m). Let g be v(-5). Suppose 0 = -9*d + 8*d + 1. What is the closest to g in 0.05, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/4 + 7*x\/2 - 10.\nAnswer: -(x - 10)*(x - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 4*d - 2. Let u be b(3). Let v be -90*1*2\/u. What is the highest common divisor of v and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**13)\/(u*u\/(u*u**(12\/7)))*u**(-1\/9)*u**(-1)*u assuming u is positive.\nAnswer: u**(920\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -1.2, -8069 in descending order.\nAnswer: 1\/6, -1.2, -8069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 3*l**2 + 13*l + 36. Let d = 227 - 221. Let k be r(d). Solve -k*i - 25 = -7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) -0.1 (c) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 138659736.1684\nAnswer: 138659735.8684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6026 - 6026.3. Sort -6, -3, m, 0.05.\nAnswer: -6, -3, m, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19824010 and -5380.\nAnswer: -19829390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7a - -134?\nAnswer: ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**4\/12 + 5*r**3\/3 + 3*r**2 - 8*r. What is the remainder when 21 is divided by w(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 789702 divided by 263234?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5\/17 + -2\/51. Calculate the common denominator of w and -32\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9696.14 days to nanoseconds.\nAnswer: 837746496000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 6*t + 3. Let p be o(-6). Differentiate -p*g**3 + 46*g + 8 + 0*g**3 - 46*g wrt g.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/30)\/(26\/(-24) - (-11)\/33)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l*l**(-1\/4)*l)\/l)\/(l**(-6)*l))**(-1\/30))**5 assuming l is positive.\nAnswer: l**(-9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -8, -2\/51, 0.07, 2?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -661*s + 44979 = -31036 for s.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 259007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/44 and (-63)\/(-140)*(-26)\/6.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15144*o + 5 = -15142*o - 3*h, -5*o + 59 = 8*h for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*a + 85 - 70, -2*s + 10 = 5*a. Solve 0 = 4*c + 5*x - s, 1 = -c + 4*x - 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkk when three letters picked without replacement from {n: 3, k: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*m = 5084, q + 3*m + 293 - 1317 = 0. What are the prime factors of q?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191213257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14398170?\nAnswer: 2, 3, 5, 479939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 79222846 to the power of 1\/2, to the nearest integer?\nAnswer: 8901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 412.\nAnswer: 5\/412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 84 = 3*z - 4*j, -5*z + 4*j + 110 = 0. Calculate the remainder when 102 is divided by z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 10 = -5*j, -5*p = -4*j - 9 + 17 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = -20*n + z + 107, -3*n = -z - 28 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) 1\/6 (b) 4\/5 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbbgengejee. What is prob of sequence eg?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55 + 208*u + 208*u - 415*u)*(-2*u**2 - 2*u + u**2 - 2*u**2).\nAnswer: -3*u**3 + 163*u**2 + 110*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 f, and 1 d when four letters picked without replacement from yydydyydfydfdyy?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-36)\/(-16))\/(1\/4). Suppose -25 = 4*w - s*w. Suppose w = j + 2. Solve 0 = g - j*i - 5, 11 = 5*g - i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*p = 131, -3*r - p = -2*p - 92. Suppose 4*b = 4*v + 8, -4*v - 4*b + r = 5. Suppose -v*d - d = -45. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 3. Calculate c(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**8\/(((m\/(m**(6\/7)\/m))\/m)\/m))\/(m*m*m**(-2\/7)*m*m**(-9)*m) assuming m is positive.\nAnswer: m**(99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 895, 1818, 2741, 3664, 4587?\nAnswer: 5510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2735.7 times 187?\nAnswer: 511575.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/5 of a century?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rposggm. What is prob of sequence rm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5123120238 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + c**2 + 0 + 4*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24409*i**3*o**2 + i**3*o + 1673*i**3 - i**2*o - 5*i*o**2 - 11*i*o + 1 wrt o.\nAnswer: -48818*i**3 - 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**2\/2 - 7*x + 1. Let p(r) = r**3 - 8*r**2 + 11*r + 8. Let w be p(6). Let c be ((-16)\/12)\/(w\/6). Give z(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**7\/105 + r**6\/10 + r**5\/6 + r**3\/2 - 4*r**2 + 3. Find the third derivative of n(l) wrt l.\nAnswer: 48*l + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o. Let q(x) = -35*x + 2. Let k(i) = 140*i - 9. Let m(y) = -2*k(y) - 9*q(y). Determine n(m(r)).\nAnswer: 35*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1012\/(-6072))\/(10\/4*318\/90)\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + -6. Is -16 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 601852 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 + 2*a**2 - 3*a**2. Let n(r) = -28*r**2. What is n(i(d))?\nAnswer: -112*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -33477501 less than -14.5?\nAnswer: 33477486.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 3*k**2 + 2*k**2 + 0*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-25032)\/(-140) + ((-12)\/(-10) - 1) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a + 7. Let j(f) = 3*f - 6. Let w(z) = 6*c(z) + 7*j(z). Let o(y) = -2*y**2. What is w(o(k))?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31775.\nAnswer: 5, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 11*r**2 + 14*r - 8. What is c(10)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*b**2 - 38*b**3 + 73*b**3 - 38*b**3 + 9*b.\nAnswer: -3*b*(b - 3)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 plus 0.4?\nAnswer: 281.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -16 and -208497681715.\nAnswer: -208497681731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8256 - 8257. Which is the second smallest value? (a) -20 (b) 3 (c) 3\/5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1132463660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-5664))\/(1*4\/(-16)).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwqa when four letters picked without replacement from awqaaawqwaaaaaa.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.27 + -0.03. Let n = 4.7 - g. What is the closest to 1 in 3\/4, 3\/5, n?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.24 + -1.24. Let n = z + 5. Let g = 0.5 + -1.5. What is the second biggest value in n, -7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7136 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -795 divided by 5.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 + 22*d**2 - 19*d - 10. Let w be o(10). Suppose 3*a + 2*l - 13114 = -1867, w = 5*a + l - 18745. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*y = -8, -4 = 2*f + 5*y - y. Suppose -f = 3*g - d - 0, 2*d = -2*g + 8. Factor 2\/3*j**2 + g*j + 0 - 2\/3*j**3.\nAnswer: -2*j**2*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45.75425 + -0.89125. Round v to 1 dp.\nAnswer: 44.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 93.043 and 2?\nAnswer: 186.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -9. Let o be (-2)\/((-1)\/(-3)*3). What is the second smallest value in d, 2\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v**4 - 70097*v**3 - 3*v**2 - 6*v - 31949.\nAnswer: 24*v**2 - 420582*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -104*a + 106*a - o + 18, -4*o + 111 = 540*a - 535*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -4 in descending order.\nAnswer: 6, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5372070.\nAnswer: 2, 3, 5, 11, 73, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*-3*(-2 + 1). Let v = -1926 - -1924. What is the third biggest value in -1\/10, 2\/9, z, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**3 + 88044*j**2 - 650184204*j + 61608924288 = 0.\nAnswer: 96, 14626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*x + 8*z + 66, -x + z = -34. What is the greatest common factor of 70 and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*b - 5 = 5*u - 72*b, 2*b + 3 = -3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h - 496 = 4880. Let v = h - -387. Solve -a - v = -2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**2 - 18 + 18)*(-17*w + 362 - 363 - 10*w - 3*w).\nAnswer: 150*w**3 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57.8 - 53. Let m = x + -5. Let d be (1 - 4\/3)*-1. What is the smallest value in m, d, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29607.65318 to the nearest integer.\nAnswer: 29608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4 (b) 0.2 (c) 2\/7 (d) 173\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 1634?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.222 * -33\nAnswer: 7.326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-63752\nAnswer: -6375.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 135810082 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 + 76.7. Let y = i - 0.7. Let t = -0.1 + 0.4. Which is the smallest value? (a) 0 (b) t (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.02, -2\/7, -1\/2, 2\/11, 29.\nAnswer: -1\/2, -2\/7, 2\/11, 6.02, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -266\/17 - 268\/17*v - 2\/17*v**2 = 0. Calculate v.\nAnswer: -133, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 4*i - 4. Suppose 4*d + 2*j - 16 = 5*j, -j = 0. Let b(o) = -7*o + 0 + 2 - 2*o**2 + 0*o - 1 + 7. What is d*b(f) + 7*u(f)?\nAnswer: -f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61198 and 29907.\nAnswer: 1830248586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1833040850 rounded to the nearest 1000000?\nAnswer: -1833000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*x + 48, x + 3*x - 64 = -2*i. Let b = x - 13. Let 6\/7*u**4 + 0*u**2 + 0 - 2*u**b + 8\/7*u = 0. Calculate u.\nAnswer: -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1219462?\nAnswer: 2, 47, 12973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.4 (c) -7558\/15 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 386633041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) 27 (b) -0.4 (c) -7 (d) 2\/17 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31820?\nAnswer: 2, 5, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 97425267 - 13.28644?\nAnswer: 97425253.71356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l + 6 = 0. Let w(k) = -5*k**2 - 7 + 9*k**3 + 5*k + 2 + 0*k**l. Let f(m) = 14*m**3 - 8*m**2 + 8*m - 8. Let s = 7 + 1. Give s*w(o) - 5*f(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -163, 3 in increasing order.\nAnswer: -163, -34, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 38180410 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266624.\nAnswer: 2, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/5 - 21*f\/5 - 18.\nAnswer: -(f + 6)*(f + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**2 + 156543*a + 6569514 = 0. What is a?\nAnswer: -52139, -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a hour in seconds?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4519892376 a multiple of 852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 5119, -3\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4\/15 + 1252*z**3\/15 - 189578*z**2\/15 - 132712*z - 337080.\nAnswer: -2*(z - 318)**2*(z + 5)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 35*j + 19. Let s(r) = 33*r + 16. Let k(x) = 6*q(x) - 7*s(x). Let a(d) = -d. Give a(k(z)).\nAnswer: 21*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/20 and 39\/524.\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 2. Suppose -s + 79 = 4*u, 65 = 2*u - 5*s + f. Suppose -4*m + u = 2*k, 5*k - 20 = -4*m - 0*k. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 4*p**2 - 8*p - 4. Let d be u(4). Let w = d + 33. Let c be 7\/(-6) + -1 + 2. Put w, c, -0.4 in ascending order.\nAnswer: w, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/1985459 - -31159583\/16167309. Let q = u - 4\/57. Calculate the common denominator of ((-438)\/(-8))\/(4 + -1) and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*b - 5*q - 22 - 3, -3*q = 4*b + 61 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzyy when four letters picked without replacement from {j: 1, m: 1, y: 2, z: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*sqrt(637) + 1 + sqrt(637))**2 + -1 + 0)*-1 + 4 + -1.\nAnswer: -11464 - 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -13. Let j = c - 13. Let m = 22.9999988 + j. What is m rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f. Let m be 6*(-4)\/(-30)*-35. Let h = m - -302. Let g(w) = -44*w**2 - h + 274. Give r(g(d)).\nAnswer: 44*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s - 7. Let h be (-2)\/6 - 112\/24. Let d be y(h). What is the second derivative of -3*b**4 + 148*b - 150*b - 5*b**5 + d*b**4 wrt b?\nAnswer: -100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.418 + 1. Let o = 0.718 - 0.53. Let s = i + o. Round s to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a centimeter in millimeters?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -1918?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 10 = -4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -9 - (-17 + 18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10066602 or 10066603?\nAnswer: 10066602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 194*t**3\/3 + 59*t**2\/2 - 42*t. List the prime factors of u(3).\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 53272.\nAnswer: 266360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*r = -72*r - 3*w + 15, 25 = -3*r + 5*w. Solve 8*c + 9*c = r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 9:14 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*a + 3*v, -3*v + 4 = -5*v. Let h(k) = 3*k**3 - 5*k**2 - 3*k + 17. List the prime factors of h(a).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.91 minus 0.1?\nAnswer: 1.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 37606.55 kilograms in tonnes?\nAnswer: 37.60655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 13*t - 9. Suppose 33*o = 5*n + 35*o - 82, 5*n - 5*o = 75. Determine j(n).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a centimeter in millimeters?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*p = -5*o + 127, -457*p - 1 = -o - 226*p - 227*p for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80321450\/(-5661))\/110 - -129.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 18*j + 16*j - 118, -34 = -x + 5*j. Calculate the highest common factor of x and 4031.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5973650 to the nearest integer?\nAnswer: 2444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 12 = 0, 5*q + u + 37 = 2*u. Let w be q\/(-12) - (-70)\/3. Let y(g) = -127*g - 492. Let r be y(-4). What is the highest common factor of w and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 11 = 5*g, -5*n = -g + 2*g + 30. Is 3 a factor of (10 - 1)*n\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3614*h**3 + h**2 - 34*h + 7 wrt h.\nAnswer: 21684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-135)\/(-6) + 1*(-6)\/4. Suppose i = 5*h + 11. Let l be (-5 + h)*(-2 + (-15)\/(-9)). Solve -3*r + l = 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*s - 1366, s + 3*i = 4*s - 816. Suppose -6703 = -10*x - s. Is 32 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**5\/2 + 42*j**4 + 168*j**3 - 1683*j**2 + 5373*j\/2 - 1215 = 0?\nAnswer: -18, -15, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21663416 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 151922395\/3338 - 45513. Let g = 153553\/16690 - o. Let q = g - 302\/35. What is the second biggest value in 1, -3\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9413, 10487, 12277, 14783, 18005, 21943?\n\"Answer: 358*g**2 + 9055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 136\/29 - (-28)\/(-8 + 1). Let t = 176\/87 - f. Factor -2\/3*o**2 - t + 2*o.\nAnswer: -2*(o - 2)*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 80852058.\nAnswer: -2\/40426029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - a + 3*a = -2, 5*s - 5 = 5*a. Let o be (-3 + -7)*(s + 12\/10). Let f be (19\/6)\/19 - (-2)\/o. Solve f = 4*k + 3*c + 35, 0 = 3*k + c - 0 + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45483 is divided by 45222?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 5492.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-12)*(-4 - -1). Let c(b) = 9*b**3 - b**2 - 11*b - 34. Let f(t) = 4*t**3 - 5*t - 15. Let x(n) = 3*c(n) - 7*f(n). Determine x(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2962709 + -2?\nAnswer: 2962707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17165700 rounded to the nearest one hundred thousand?\nAnswer: -17200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -6*i - 2*i - 5*t - 1855 + 1710, -123 + 47 = 4*t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.5, -8\/25, 0.04, -1\/31 in ascending order.\nAnswer: -0.5, -8\/25, -1\/31, 0.04, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -885324 (base 11) to base 3.\nAnswer: -2122202200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.222 - 0.778. Which is the nearest to 2? (a) i (b) 3\/2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = -3*h. Let q(a) = -a + 3. Let j(f) = -1. Let u(c) = c**3 + 4*c**2 - 3. Let x be u(-4). Calculate h*q(n) + x*j(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 19*w**2 + 3*w + 83. What is y(-19)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 21 = -b, -6*b + 7*b + 4 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**(-22\/5)*q**4*q**(-2\/9) assuming q is positive.\nAnswer: q**(34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/2860 and 77\/93080.\nAnswer: 1023880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(-18) + 0 - 2\/9. Which is bigger: -5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + 999?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 5 (c) 4\/3 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*r**5 - 499723*r**4 - 719054247*r wrt r?\nAnswer: -60*r**3 - 5996676*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 8712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17218 - -2978706\/173. Let o = 6502\/1557 - m. What is the common denominator of o and ((-10)\/4)\/((-44)\/(-80))?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -4. Let h = -0.9 + 3.9. Which is the third smallest value? (a) h (b) 2\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9345848 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/4536210 and 113\/126?\nAnswer: 13608630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -169, 4, 5, 1, 82, 8 in ascending order.\nAnswer: -169, 1, 4, 5, 8, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-1 + sqrt(1088) + sqrt(1088) + sqrt(1088) + 4)**2 - sqrt(1088)) - (3*(sqrt(119) + sqrt(119)*-1 - sqrt(119)))\/(sqrt(448) - 2*sqrt(448)).\nAnswer: 1085*sqrt(17)\/8 + 9805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.17165 and 4?\nAnswer: 0.6866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 9 = -m. Let k(l) = -l**3 + 15*l**2 - 64*l + 100. What is the lowest common multiple of k(9) and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/1)\/(1\/46). Suppose 0 = 4*l - 28 + 12, g = 5*c + l. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82914, -8, -2 in increasing order.\nAnswer: -8, -2, 82914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 2147?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**7\/420 + m**5\/24 - 5*m**4\/12 - 5*m. Let f(z) be the third derivative of w(z). What is the derivative of f(s) wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 11*a**2 - 3*a. Let z(k) be the third derivative of k**5\/15 - k**4\/24 - k**2 + 13. Determine -2*l(r) + 7*z(r).\nAnswer: 6*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011101 - 101000?\nAnswer: 1000110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysaaeyseess. What is prob of sequence ya?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7*n**3 - 88*n**2 - 13*n - 6. What is the tens digit of d(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*g - 132, -140 = -3*g - 3*w + 8*w. Suppose 2*p = -p - g. Let u(i) = 2*i**2 - 4*i - 8. Let m be u(3). Sort 5, m, p in decreasing order.\nAnswer: 5, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 0.35?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 5 + 5 - 29*b**2 + 1.\nAnswer: -29*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = g - 4*r, -2*g + 33 = 2*r - 7*r. Suppose -p - 2*v = 3*v - 35, -310 = -5*p + 2*v. What is the remainder when p\/160 - (-1290)\/16 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 9 + (-35 - -24) + -6.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 8.8 (b) -0.5 (c) 15 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3048 (base 9) in base 10?\nAnswer: 2231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - k + 1. Let q(i) = -2*i**2 - i + 1. Let g be (-1 - 0)\/(2\/4). Let n(w) = g*q(w) + 2*b(w). Let r(u) = u**2. Calculate r(n(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/sqrt(2) + -3*sqrt(1331).\nAnswer: -31*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15d25 (base 16) in base 7?\nAnswer: -521405","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 260, 481, 916, 1637, 2716?\nAnswer: 4225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 10 = -2*n + 2, -4*n - 16 = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (119 - 49) + 66 - 39\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 22600 to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2084, -2104, -2128, -2156?\n\"Answer: -2*x**2 - 14*x - 2068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + m + 15 = 0. Find the third derivative of 3*v**2 + v**5 - m*v**6 + v**6 - v**5 wrt v.\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uouu when four letters picked without replacement from {u: 3, o: 11}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - -1010110110101011?\nAnswer: 1010110110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -8*r**2 + 6*r. Let c = 5 + -11. Let g(j) = j**2 - j. Let t(b) = c*g(b) - w(b). Let m(s) = 4*s**2 + 3*s**2 - 5*s**2. What is t(m(i))?\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 - (-4 - -7 - -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 444.\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 163, 235, 307?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 1 + i + 3 + 5*i**2 - 4*i**2 - 3. Let o be l(0). Do -5\/4 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.99 - 0.9. Let q = g + -5.39. What is q rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(3520))\/(-2*sqrt(1100)).\nAnswer: 6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r + 3. Let s be h(2). Let f be 11\/3 - (-2)\/s. Suppose -5*a = -3*i - 22, 3*a - a + f*i + 8 = 0. Let d(m) = -3*m**2 + 3*m - 3. Give d(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -13*y**5\/10 + 2*y**3\/3 + 31*y. What is the second derivative of r(f) wrt f?\nAnswer: -156*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4 and 2.4?\nAnswer: 3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-4 - -3) - -2. Suppose 0 = 2*v + 4 - 54. Suppose r*b - v = 0, -h + b = -b. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -674.96 - -718. Let s = k - 47. Let i = 0.04 - s. Which is the smallest value? (a) 3 (b) i (c) -0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3720635 divided by -744127.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*q - 42, 0*m + 2*m + 3*q = 26. Suppose 3*k - 2*y - m = 0, k + 5*y = -4 - 2. Solve k*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Rearrange 35*h - 13 - 18*h + 126*h + 11 to g*h + o and give g.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 51\/27 - (-6)\/54. Suppose 5*b + 3276020 = t, 2*t - q*b = -b + 6552004. Round t to the nearest 100000.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wii when three letters picked without replacement from {w: 6, i: 13}.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(288)\/(sqrt(6)*-1) + (sqrt(192) - sqrt(192)*-1)**2.\nAnswer: -4*sqrt(3) + 770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/5*1278\/(-90). Let f = g + 2943\/100. What is the common denominator of 57\/148 and f?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/457 and -49\/10.\nAnswer: 4570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*q - 88. Let u(i) = -20*i - 7. Let x(b) = 10*b + 3. Let h(z) = 2*u(z) + 5*x(z). Let f be h(1). Calculate the highest common divisor of f and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.7 - -0.3. Let w = -1.3 - t. Which is smaller: 0.5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*l, 2*l = 6*l + 2*z. Suppose l = -w + 13 + 5. What is the remainder when ((-4)\/6)\/((-1)\/w) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11415 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3.2 times 45.18\nAnswer: 144.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 12441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a + 32*a - 15*a - 2*a - a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20940.683566 - 8.\nAnswer: -20948.683566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52944386?\nAnswer: 2, 11, 1289, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j**3 - 3*j**2 + 4*j - 2. Let v be y(2). Suppose -3*x + 5*c = -43 - 27, x = -3*c + v. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w + 93 = 5*d + 15*w, 13 = d - 3*w. Calculate the remainder when 141 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 20, 0.07, -2\/7?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -352 - -364. Suppose 0 = 7*c + 1 - 43. What is the greatest common divisor of y and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20342 from -545888.12.\nAnswer: -525546.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from {u: 2, w: 2, c: 4, e: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 54 + 1010?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/6*36\/24. Suppose -3*l = -2*x - 12, l = x + 4*l + 6. Let f be (0 - 4\/x)\/(-6). Which is smaller: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 - 2207 - u**2 + 2407 in the form z + l*u**2 + g*u and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 577578278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2 + 5*i + 5. Let d be 14\/4 - 2\/4. Let f(b) = b**2 + 3*b - 2 + 8 + 3*b**2 + d*b. Let m = 14 + -9. Give m*f(v) - 6*x(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 49*o**2 - 2*o - 1. Is w(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/4)\/((-2)\/8). Sort n, 0, 2, -4.\nAnswer: -4, 0, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyzp. Give prob of sequence yp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 w, and 1 l when three letters picked without replacement from zpsuwluwz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17016 to three decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108 is divided by 553?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159439?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 904300393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/9 - 4576*n**2\/9 + 31934*n\/9.\nAnswer: 2*n*(n - 2281)*(n - 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3972669887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -15. Solve -j*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -14 - 177*h + 87*h - 40 + 87*h. Let x be o(-17). Let g(j) be the second derivative of -j**3\/6 + 3*j**2\/2 - 32*j. Determine g(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b - 3. Let w be o(-2). Let q be 2 - w\/(5\/2). Is q bigger than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9 - j**3 + 292*j**2 - 297*j**2 + 2*j - 4 - j.\nAnswer: -(j - 1)*(j + 1)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2764, -10678, -23956, -42598, -66604, -95974, -130708?\nAnswer: -170806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 2*w**6\/5 + w**4\/12 - 99*w**2 - 147*w - 5. Let h(s) be the first derivative of y(s). Find the first derivative of h(n) wrt n.\nAnswer: 48*n**3 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 461772 and 14544.\nAnswer: 1847088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1933 + -801. Suppose -5*u + g = -2548. What is the highest common factor of u and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 6:38 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-5 + 9)) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 7*v = v - 10, 5*p - v - 2 = -5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/2 - 1784*w**2 - 1594890*w - 6351048.\nAnswer: -(w + 4)*(w + 1782)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*g - 3*g**3 + 476*g**2 - 4 + 461*g**2 + 3*g - 935*g**2 + 8*g**3 to the form v + r*g**2 + l*g**3 + u*g and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from awaaaaaa?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 368 + -590. Which is smaller: t or -223?\nAnswer: -223","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87 + -89. Is z >= -12\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/45 + 234\/10. Let l = q - -75. Let j = l - 69. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 575 - 568. Sort 1, o, 5, 6, 4 in decreasing order.\nAnswer: o, 6, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*i + 12 = 0, 1 + 11 = -4*h - 4*i. Let v be -2849 - h - (5 + -7). What is the common denominator of 65\/2 and 6\/(-27) - v\/540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t - 22. Determine r(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48759879.\nAnswer: 3, 7, 2321899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 10277780?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 4 (c) -3\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15 + -2*(-2)\/4. Let c(t) = 6*t**2 - 1. Let v be c(1). Let n(g) = -6*g**2 - 16. Let h(f) = 2*f**2 + 5. Determine l*h(r) + v*n(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (192\/40)\/((-4)\/(-3570000)). What is p rounded to the nearest 100000?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 7. Let m be ((-28)\/(-6))\/((-16)\/(-24)). Let x be j(m). Find the first derivative of -4 - b**3 + x*b**3 - 2*b**3 wrt b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001462526 to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001671012 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/18*2*69\/46*7050\/(-250).\nAnswer: 47\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*m - 5*i, 5*m = -5*i + i + 21 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times -35.14?\nAnswer: -421.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 + 3*f**4 - 2*f**2 + f**4 - f**4 + f**4 + (f**3 - f**3 - f**3)*(5*f - 2*f - f) as d*f**2 + s*f**3 + z + i*f**4 + v*f and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5714083 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6606985 divided by -943855?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10863832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0\/m*m*m*m)\/m)**41\/(m**(5\/6)*m**(-3\/4)) assuming m is positive.\nAnswer: m**(491\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(484)*-3)\/(-1*sqrt(128)) + (-2 + (sqrt(200) + 1 - sqrt(200)) - (sqrt(14)\/(sqrt(14)\/sqrt(2)) - (sqrt(2) - (sqrt(2) - 1*sqrt(2)))*-5)))**2.\nAnswer: 15*sqrt(2)\/4 + 257\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*z + 0 + 3*z + 0 in the form g*z + j and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.157855 centimeters to kilometers.\nAnswer: 0.00009157855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2169 - 0.2831. What is the nearest to 0.06 in 5, t, 10, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-377 + 377 + 36*r)*(12*r + 10*r + 51*r - 9*r).\nAnswer: 2304*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 296 = -35*g - 8*g. Let y(r) = 7*r. Suppose -h + 5 - 4 = -3*o, -3 = -3*o. Let x(w) = h*w + 0*w + 7*w. Give g*y(a) - 5*x(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 232\/60 - 2\/(-15). Suppose 0 = n*s + 4*k - 100, -2*k = s - 0*k - 26. Let d = s - 18. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43951489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 940 and 1504?\nAnswer: 7520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzb when three letters picked without replacement from {b: 7, z: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 23.57?\nAnswer: -9.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 46*f**2 + 8*f + 289. What is q(-46)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4734385*g - 13423774?\nAnswer: -4734385","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f**2 + 2*f + 1. Let v be x(-1). Let l be 1 - (1 - (3 - 2)). Solve v*y - 4*m - l = 2, 4*m = 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 41*i - 274. What is t(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20161 divided by -1?\nAnswer: 20161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 6. Which is smaller: -3 or c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9528741437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34379391*n**2 - 201384967*n.\nAnswer: 68758782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 14*t - 25747 = -25747 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.175881 rounded to 1 decimal place?\nAnswer: 91.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25649*a**5*b*i - 26*a**3*b*i**3 - 19*a**2*b*i**3 - a**2 - 205*a*b*i**3 - a*b + 20*i wrt a.\nAnswer: 1538940*a**2*b*i - 156*b*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*y - 2 + 14, y - 3 = 4*c. Suppose 2*r - 43 + 17 = c. Calculate the remainder when r is divided by (-2 - (-10)\/(-3))*(-12)\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 0. Let s be 9 - (36\/(-3))\/4. Suppose 3*l - s = 2*l. Solve -q = m*q + l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31 - -1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -l, -3*l - 1 = 3*i - 2*i. Let h = 47.1 + -45. Let w = h - -0.9. Sort -0.5, i, w in descending order.\nAnswer: w, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85365 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 189\/630*(-5)\/3\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 + 27*d - 1. Let n(b) = -9373*b**2 + 4*b - 15. Let l(y) = -n(y) + 5*u(y). Find the second derivative of l(k) wrt k.\nAnswer: 18766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/6*162\/(-189). Solve -6*f = -l*f + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngnur. What is prob of sequence ru?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - (4 + -1*sqrt(343)))**2 - (sqrt(28)*-5 - (sqrt(7)*-1 + sqrt(7) + -5)**2).\nAnswer: -102*sqrt(7) + 1413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17186198 - 17186200.1798886. Let w = v + 2.18. What is w rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 6)*(-6*j**4 + 95 - 95 + (2*j + j + 0*j)*(4*j**3 - 4*j**3 + j**3)).\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4802 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4511600 rounded to the nearest 10000?\nAnswer: 4510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -1)*(37 - 43)*1\/243.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 19*k - 125. Let i be j(7). Solve i*n = 3*n - 4*u + 3, -2*u + 1 = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1211 + 3?\nAnswer: -1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16 + (-742302)\/(-161) - 4\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.2 - 3.3. Let s = 2.2 + a. Is 0.2 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, a: 6, z: 2, q: 7, e: 4}. Give prob of picking 2 q, 1 l, and 1 z.\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2428663 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -1.57.\nAnswer: -0.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -29\/7 (b) -1\/4 (c) 6 (d) -0.4 (e) -0.2 (f) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11391367 to the nearest integer?\nAnswer: 3375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktkryllyeytyykleelye. What is prob of picking 2 k?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one quarters of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.13 or -31570.8?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2064499)\/(-5) + (1\/(-3) - (-784)\/1470). What is i rounded to the nearest 10000?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 10*m**2 + 11*m + 2. Let k be i(-11). Suppose 0*u + 2*n = -k*u + 8, 4*n = 3*u - 5. What is the highest common divisor of u and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244078740 to the power of 1\/4, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 6) to base 4.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 9 + 7. Suppose 2 = 2*z + o. Let h be 270\/z*980\/(-21). Round h to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 + -0.01\nAnswer: -41.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3942 divided by -1314\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/156 + -10\/39. Which is the closest to 1? (a) 2 (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 10:48 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x = b + 20, 4*b = 20. Suppose -x*m - 56 = -226. What are the prime factors of m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1041, 8504, 28797, 68334, 133529, 230796, 366549?\n\"Answer: 1069*v**3 + v**2 - 23*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -258*b - 11504 - 878 + 1288 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*v = -106*v - 9 - 2823 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -17, -1 in descending order.\nAnswer: 5\/2, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 5. Let r be p(0). Let g(y) = -3 - r*y + y + 3*y. Let f be g(-3). Which is the second biggest value? (a) f (b) 2\/9 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/350*-5 + 4\/35. Suppose 9 = 3*q, -3*w + 17 = 2*q + 5. Determine l, given that 8\/3*l - 14\/15 + f*l**w = 0.\nAnswer: -7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 times 7\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -196 + 76. What is the common denominator of (-11)\/j*-38 + 4 and 121\/48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0*i + i)*(-2*i**3 + 5*i**3 - 2*i**3) + (3 - 4*i**2 - 3)*(i**2 - 1 + 1) + 2*i + i**4 - 2*i.\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4 - 4*t**2 + t + 0*t + 0*t. Let c(r) = -r**3 + 7*r**2 + 5. Let y be c(7). Let f(a) = 7*a**2 - 2*a + 3*a - 3*a - 7. Determine y*m(j) + 3*f(j).\nAnswer: j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**4*x + 6*h**4 - 8761*h**3*x + 3*h**3 - 616*h**2*x - 14199*h*x wrt h?\nAnswer: 72*h*x + 144*h - 52566*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**41*q**(-1)\/q*q**(-5))\/(q**(-2\/13)*q**(3\/7))**(-18\/11) assuming q is positive.\nAnswer: q**(34484\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, t: 11, v: 1}. What is prob of picking 1 k and 1 t?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 943*h**2 + 840*h**2 - 1782*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 362794, 362795, 362796, 362797, 362798?\n\"Answer: i + 362793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05211644153 to 5 decimal places.\nAnswer: 0.05212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - 11.05. Let b = 343 - 340. What is the closest to -1 in 1\/2, b, s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783 is divided by 131.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -1e?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/4 of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**3 - 65*a**2 + 17260*a - 275912. What is m(16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3ffd - -3?\nAnswer: -3ffa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100*l + 0 - 47*l - 7 - 53*l + 14*l**2 to the form k*l**2 + q + g*l and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**5\/20 - 5*v**4\/12 + 5*v**3\/6 - v**2 - 11*v. Let h be o(4). Suppose -f = f - 12. Sort f, 3, h in descending order.\nAnswer: f, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6946*i**2 + 31*i + 65. Let k be u(35). What is k rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8361336547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 62100 greater than or equal to 62100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10\/131 + 48893\/393. Let n = -2593\/21 + u. Find i, given that -n*i**5 - 3\/7 - 18\/7*i - 6*i**2 - 27\/7*i**4 - 48\/7*i**3 = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 36.4. Let w = j + -7.5. What is the closest to 0.2 in -2\/5, w, 8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96*v**3*z**4 - v**3 + 7*v**2*z + 2*v**2 - 4*v*z**4 + 67*v*z - 5*v wrt z.\nAnswer: -1152*v**3*z**2 - 48*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 363\nAnswer: -1\/363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, o: 11}. What is prob of picking 3 o?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 7682 = -2*k. Let p = k - -34. Calculate the highest common divisor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 752050\/11*x + 6496\/11*x**3 + 113880\/11*x**2 + 1098500\/11 + 128\/11*x**4 = 0. What is x?\nAnswer: -65\/4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*m. Suppose -5*l - 3*o - 479991 = m, 383985 = -3*l - l - 5*o. What is l rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 150, 122, 64, -36, -190, -410?\n\"Answer: -2*m**3 - 3*m**2 - 5*m + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*i - 104 = 339*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 661298.4 litres to millilitres.\nAnswer: 661298400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*j + b - 215, 0 = -2*j - 2*b + 142. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 288, 783, 1610, 2769?\n\"Answer: 166*i**2 - 3*i + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(300) + -4 - (sqrt(300) + (-4 + (sqrt(300)*-1)**2 - sqrt(300)) - sqrt(300)).\nAnswer: -299 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f + 7. Let d be l(-3). Let p be d\/20 - 30\/8. What is the remainder when 17 is divided by p - 20\/(-5) - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 99*q + 3. Let n(l) = -293*l - 8. Give 4*n(i) + 11*t(i).\nAnswer: -83*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 337 + 656. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -19100008*u - 3. Let f(a) = 12733339*a + 2. Let k(t) = 7*f(t) + 5*j(t). Let h be k(-3). What is h rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51*q*v**3 - q*v + 3621*q - 6*v**3 + 6*v**2 + 22*v - 580 with respect to q.\nAnswer: 51*v**3 - v + 3621","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 28\/20*-1 + (-4)\/(-10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22705 and 138890.\nAnswer: 33194710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19482130259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b, 2*b = w + 11 + 10. Let i be (-10 - w - 16)*33\/(-5). Solve 4*c - 21 = -i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 862794 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 214161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56 - 106 + 69)*(-4 - 1 - 5 + 1)*(-12*u + 12*u + 9*u**3).\nAnswer: 7533*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011011100000010 + 11?\nAnswer: 100011011100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w + 3. Suppose -35*d = -2*d - 297. Suppose 5*p = -4*a + 585, -3*p + 388 = -d*a + 4*a. What is the remainder when p is divided by r(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*n = 1454 - 12138, 4*u + 3*n - 14262 = 0. What is the least common multiple of 20 and u?\nAnswer: 17820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 + -30)*(-2)\/6. Let m be (2 - 52\/c)\/(-6). Let x(v) = v**3 + 10*v**2 + 9*v + 1. Let f be x(-9). Which is smaller: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 1403646084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18a + 17?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 573077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -219 divided by 15225.\nAnswer: -73\/5075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**4\/4 - a**3\/3 + 2*a**2 - 2*a - 7. Let p be t(1). What is the third derivative of 4698 - 25*l**p - 4698 - 31*l**6 wrt l?\nAnswer: -3720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ul when two letters picked without replacement from tflklktstfftufft?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/5 and (595\/(-77) - -7)*57\/12.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(17) - (sqrt(119)\/sqrt(7) + sqrt(17))) + 0)**2.\nAnswer: 2*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -35. Calculate the remainder when v is divided by (21\/6)\/(2\/4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 1561?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Suppose -8*k + 75 = 67. Let f be k*2*(-195)\/(-78). Sort l, -5, f, -4.\nAnswer: -5, -4, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54964 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: What is the ninth root of 2523741861 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (32\/(-1))\/(1 + 0). Let y = 38 - c. Suppose -5*v + 5*q = -935, y*q - 207 = -v - q. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 15\/2*m**6 - 16 - 11*m**5 + 0*m**3 + 0*m + 5\/2*m**4 + 0*m**2. Suppose d(f) = 0. What is f?\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/(192\/(-80))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (357\/14)\/17*4\/120*8.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (4 - (-8 + 5)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 147*n + 9. Let v(u) = 159*u + 10. What is 6*f(w) - 5*v(w)?\nAnswer: 87*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3376 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1394 or -202272\/145?\nAnswer: -202272\/145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 14*r = 184. Suppose r*z = 35*z + 33. Solve 4*x - z*x - 5 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*x - 436*x - 4 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v - 18. Let p be g(14). Suppose -p*z = -14*z + 52. Suppose 14 + z = o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167 a factor of 5668554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**8\/336 - c**6\/30 + c**5\/30 + c**4\/8 - c**3\/3 - 29*c**2 + 13. Factor g(b).\nAnswer: (b - 1)**3*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23\/3 in -1\/6, -4, 9, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179097, -716374, -1611847, -2865516, -4477381, -6447442, -8775699?\nAnswer: -11462152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43282 is divided by 1182?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 23 - 26 = 0. Calculate the remainder when w\/(-4) - (-306)\/24 is divided by ((-21)\/(-9))\/(2\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -112, -104, -4 in descending order.\nAnswer: 1, -4, -104, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -49*q + 12. Let v(y) = -41*y + 10. Let z(x) = 5*s(x) - 6*v(x). Let i(p) = 171*p**2. Determine z(i(g)).\nAnswer: 171*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -62\/3 in -2, -0.3, 2\/617, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -13218*p - 3106261. What is j(-235)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydceycuuzyu. Give prob of sequence zd.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*w - 9 = 0, 5*q + w + 45 = 4*w. Let a = q + 8. Is a\/(-2) + -3 + 43 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 1565525 - 1565525 + 7*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 40\/3*p**4 + 1\/24*p**6 + 0*p + p**2 + 14 + 0*p**3 + 4\/3*p**5. Suppose q(m) = 0. What is m?\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 5925772258\/(-38517519508) - (-16)\/104. Let y = 52443824973063\/2468084134628 - o. Let h = y - -1\/833. Calculate the common denominator of h and -121\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (10 - (-1 - -2)) - -7?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1493800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4417.9 - 4417.7. Let w = -116.96 - -115. Let q = 2 + w. Which is the nearest to -0.1? (a) s (b) q (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 + 12*y**2 + 7*y - 10. What is z(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccllcljlcllj. What is prob of sequence jlj?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (88\/(-77))\/(5 + (-185)\/35). Which is the smallest value? (a) 10.3 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170 divided by 34?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.424198 rounded to 2 decimal places?\nAnswer: 4.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 4:55 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/36 + 806\/18. Let x = -9 + 13. Suppose x*i - q = 23. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 223468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k + 11 + 7. Let b be 297\/22 - (k\/(-2) - 0). Find the third derivative of b*i**6 - 16*i**2 - 3*i + 5*i - 2*i wrt i.\nAnswer: 1440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4680*h - 32290 = -1451*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*a + 1967288 = 1956728 for a.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, i: 2, h: 4, y: 9}. What is prob of picking 1 y and 1 d?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 40*b + 179 = 2*x - 30, -6 = -4*x + 4*b + 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 - 93. Find the common denominator of 4118\/1917 - (5 + -3) and (66\/h)\/((-40)\/75).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 w when three letters picked without replacement from {h: 2, w: 7, e: 1, c: 2}.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 9*i**2 - 12*i - 20. Let f be g(-10). Suppose f = -12*p + 243 - 39. Suppose 16*c = p*c. Solve l - 5*a = -5, c - 1 = l - a for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11122, 22685, 34244, 45799, 57350, 68897, 80440?\n\"Answer: -2*c**2 + 11569*c - 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1876568.\nAnswer: -5\/1876568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12 + (-564)\/(-48))\/(8\/(-352)). Solve 11 = 4*i - 5*y, t*i - 3*y + 19 = 15*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(420)*1 - sqrt(420)))\/(sqrt(1452)*-1))\/((-2*sqrt(567)*6 + sqrt(567))*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-57 + 13 - (0 + 1 + -5))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**5\/120 - 23*d**4\/8 + 26*d**2. Let h(i) be the second derivative of y(i). Let o(m) = 4*m + 16. Give 16*h(x) + o(x).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 13*w**3 + 11*w**2 + w + 17. Let a(v) = 2*v**3 + v**2 + v + 1. Let h(q) = -6*a(q) + n(q). Give h(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/5 - 87304*c\/5 - 349136.\nAnswer: -(c + 20)*(c + 87284)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**3 - 37*x**2 - 18*x + 2. What is j(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**3 + 7485*v**2 + 1995250*v = 0. What is v?\nAnswer: -1150, -347, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.003038 milligrams in kilograms?\nAnswer: 0.000003003038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.466554428 rounded to three dps?\nAnswer: 0.467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12932999542 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 10*i + 38. Let q(v) = -12*v. Calculate u(q(f)).\nAnswer: -120*f + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*i + 30, -5*x = -i - 11 - 46. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1060 = 2*m, -5*m - 1247 = -4*y + 178. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(2484\/(-18)))\/((-2)\/8)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/52 and -8\/971009.\nAnswer: 3884036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - b = -0*f - 1, -5*b = -3*f - 13. Suppose 0 = -5*o - f*w + 126, -3*o + 4*w = -0*o - 50. Suppose -5*r + 65 + 45 = 0. Is r less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**4\/4 - 53*b**3 + 2949*b. Suppose l(u) = 0. What is u?\nAnswer: -106, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 d, and 1 x when four letters picked without replacement from gdxpddfrppfgddddg.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -3\/7 (b) -1.8 (c) 12 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 9*v**2 - 2*v + 2. Let q(d) = -10*d**2 + 3*d - 1. Let r(g) = -2*q(g) - 3*w(g). Differentiate r(s) wrt s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 200.4 + -200. Suppose -496 = 2*y + 3*f, 3*f = -3*y + 2*f - 744. Let l = y + 1739\/7. Put 7, r, l in descending order.\nAnswer: 7, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*l + 276, -5*w = 2*l - 168 + 33. Suppose -l*v - 20 = -75*v, 1388 = p - 3*v. What are the prime factors of p?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 61. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 23335257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -1.6901.\nAnswer: -1.2901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 32*o**2 + 5*o + 51. Calculate l(-6).\nAnswer: -1347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 11*w - 11 = 2*t, -10 = 10*w - 5*t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 9:23 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, g: 2, y: 8, h: 5}. What is prob of sequence hdy?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 4 = 4*d + o, -2*d - o + 15 = 0. Suppose 2*w + d = 18. Solve 0 = j - 2 + w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -9*s**2 - 5*s + 29. Let q(z) = 4*z**2 + 2*z - 14. Give -2*c(r) - 5*q(r).\nAnswer: -2*r**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1556 - -1556. Let a(b) be the second derivative of 7\/12*b**4 + 0*b**3 - 5*b**2 + j + 6*b. What is the derivative of a(p) wrt p?\nAnswer: 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -187 + 277. Suppose 5*n + f = -10. Let b be (24\/n)\/(((-24)\/20)\/3). Solve 3*a - 8 = c, 1 + 11 = b*a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14109.9 not equal to 35\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 24*d**2 + 278*d + 37. Is p(71) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375858 is divided by 48?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -158 * -4.\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1\/4 + (-1045)\/110?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/9, -1, 0.26, 2\/5, 2\/7, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 755 - -12983?\nAnswer: 13628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5 + 4*h + 3.\nAnswer: 4*h + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1088)\/(-136))\/((-4)\/2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -7222, 2\/15, -3, 5 in decreasing order.\nAnswer: 5, 2\/15, -1\/4, -3, -7222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70759659?\nAnswer: 3, 23586553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17883 divided by 3.\nAnswer: -5961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -391 + 430 + 339\/(-9).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 2:22 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824228?\nAnswer: 2, 17, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -7\/60*r**5 + 0*r**4 + 0 - r**2 + 0*r**3 + 0*r. Calculate k(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x**2 + 4 + 0*x**2 + 3*x**2. Let y be b(0). Suppose -5*v + q = -1053, 155 + 908 = 5*v + y*q. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344.1 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2486.9736 nanoseconds?\nAnswer: 0.00000004144956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 50*p - 10. Let y(h) = -63*h + 11. Let j(i) = -4*q(i) - 3*y(i). What is j(-5)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.80255ng in milligrams?\nAnswer: 0.00009680255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005378266 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*k + k. Let f = 1.6 - 0.8. Let a = -1.1 + f. Sort a, 5\/2, k.\nAnswer: a, 5\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 675 and 159639?\nAnswer: 35918775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - 29. Let p be -2*(b\/(-18))\/(-11). Factor -p*s**5 + 0*s - 1\/3*s**3 + 0 - 2\/3*s**4 + 0*s**2.\nAnswer: -s**3*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217327889 to the power of 1\/4, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 23*v + 22. Let m be o(22). Let p(h) = -h + 17. Let s be p(m). Let t(w) = -5 + s - 4 - w. What is t(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**4 - 40*f**3 - 150*f**2 - 180*f - 52. Let h(i) = i**4 + i**3 + i**2 + i + 5. Let l(z) = 4*h(z) - o(z). Factor l(j).\nAnswer: 2*(j + 1)**2*(j + 2)*(j + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -402917608 divided by -100729402?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.18 + 9. Let y = j - -0.18000076. Round y to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**2 - 142*w - 140 = 0.\nAnswer: -70, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5004 and 1295788302?\nAnswer: 2502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-14)*(-4816)\/(-258)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -9*o - 362. Calculate h(-41).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 - 214*d**2 - 37*d + 5193. Calculate t(107).\nAnswer: 1234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.862 - -5.62. Let k = 392.058 - h. What is k rounded to the nearest 10?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xyytwzm. What is prob of picking 1 t, 1 y, 1 x, and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9663\/6)\/(4\/16). Let s = h - 4339. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 195 = -5*b - 3*l, 0 = -4*b + 3*l + 165. What is the remainder when b is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36778 is divided by 7347.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-2*y**4 + 3*y**4 - 4*y**4) - 3*y**4 + 2*y**4 + 3*y**4 - 22*y**4 + 5*y**4 - 39*y**4 + (3*y - 1 + 1)*(y**3 - 2*y**3 + 3*y**3).\nAnswer: -42*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559655060.\nAnswer: 2, 5, 27982753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 6*l**2 - 5*l - 5. Determine d(4).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*t**3 + 2211*t**2 + 4548*t - 6741.\nAnswer: -3*(t - 1)*(t + 3)*(6*t - 749)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 1 + 2)\/1. Let u = 38754 + -38749. Sort -4, u, m in descending order.\nAnswer: u, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 60) + 25 - 12?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 54385 divided by 18346\nAnswer: 54385\/18346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + c = 0. Let a(h) = -6 + 898426*h - 449213*h - 449214*h. Give a(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99 - 1) + -5006 + 5202.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10.917 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -2927 and 31 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -286*c**2 - 242*c**2 + 50*c - 187*c - 77*c - 23*c wrt c.\nAnswer: -1056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.12 - -0.02. Let u = -300 + 3898\/13. Let v = 1159\/7 - 166. Which is the closest to x? (a) -0.3 (b) u (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -900, 1 in decreasing order.\nAnswer: 1, -5, -900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5, 1.3, -2\/7, 0.3.\nAnswer: -0.5, -2\/7, 0.3, 1.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6134.1060015 + -6138.906. Let i = p + 4.8. Round i to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4)\/((u\/(u**2*u))\/u))\/(u*u*u\/u**(1\/5))**(19\/3) assuming u is positive.\nAnswer: u**(-281\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*m - 8. Let p(z) = z**2 + 3*z - 8. Let g be p(3). Suppose -3*j - 4*f = -3 - g, 3*f = j. What is the remainder when m is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -65*x**3 - 6*x**2 - 748*x - 2. Let w(s) = -129*s**3 - 15*s**2 - 1496*s - 5. Let p(d) = -5*g(d) + 2*w(d). Find the second derivative of p(t) wrt t.\nAnswer: 402*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by (-198)\/(-7) + 8\/(-28)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204614 (base 8) to base 13.\nAnswer: -24c33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -980*g**3 + 2*g - 4*g**2 + g - 5*g + g**2 - 5*g - 4. What is the hundreds digit of q(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88649, 177171, 265693, 354215, 442737, 531259?\nAnswer: 619781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 2*k + 7. Let c = 11 - 6. Give a(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 13. Put 0, 0.1, n in descending order.\nAnswer: n, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in -2\/11, 2, 2\/17, -4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -20. Let x(c) = -c**3 + 2*c**2 + 2*c + 1. Let l be x(w). Let u(r) = -13*r - 9. Let f(g) = 3*g + 2. Calculate l*u(t) - 9*f(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 + 154*f**3 - 978*f**2 + 1494*f.\nAnswer: 2*f*(f - 3)**2*(f + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8002*m + 7152*m - 1624*m.\nAnswer: 13530*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19467, 155664, 525335, 1245216, 2432043, 4202552?\nAnswer: 6673479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 1020 = -5*d + 4675, 747 = j - 3*d. Suppose -4*l + j = q, -l + 738 = 3*l - 2*q. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + -1 + -81 + 89. Let y(v) be the first derivative of 0*v**2 - 5\/3*v**3 + 8 + 0*v**4 - 8\/5*v**k + 0*v. What is the third derivative of y(p) wrt p?\nAnswer: -192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*l = l + 21, 0 = -3*l - 12. Suppose 3*s - 8 = t. Solve s*h - 10 = -1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*m = -30198, 2*p - 7*m - 30233 = -4*m. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32910 or -0.0448?\nAnswer: -0.0448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 90765 = -5*v, -68*u + 72612 = 4*v - 72*u. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87852, -175704, -263556, -351408?\nAnswer: -439260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211201101011112 - 11?\nAnswer: -211201101011200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*t + 14 + 8 = 0, -t - 2 = -r. What is the units digit of (-1 + -39)*(5 - (r + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 times 0.09426?\nAnswer: -15.17586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6657 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/4 and 95\/(-16) + 8 + -6.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*l + 3*l = 171, -4*y + 612 = -4*l. Suppose y = c - 9. Suppose 0 = o - 4*o + c. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 8:52 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -5. Suppose l*q + 15 = 3*q. Let o be ((-12)\/(-8))\/((-6)\/(-16)). Solve q*s - s = -o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6111432318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22034)\/414 - 4\/(-18). Let c be ((-16)\/(-6))\/(k\/159). Let s(g) = -13*g - 5. Let p(q) = -6*q - 3. Let h(i) = -9*p(i) + 4*s(i). Calculate h(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*(9\/(-2))\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s + 3. Let x(c) = -c. Let m be x(-4). Put -3, s, m in descending order.\nAnswer: m, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 198 by 99.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 9*i - 354 = 0. Let q = i + -837\/5. Find the common denominator of q and 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**4 + 220440*q**3 - 2430350505*q**2 + 14558300910*q + 174890045160 = 0. Calculate q.\nAnswer: -6, 12, 22041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3\/6 + 67669035*w**2\/2 + 3434323689538901*w\/2 - 10302971271623809\/6 = 0. Calculate w.\nAnswer: -101503553, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-1 + 12\/4))\/(-1). Suppose r - 12 = -k. Let z(f) = -6*f**3 - 3*f + 3. Let t(l) = 13*l**3 + 7*l - 7. Calculate k*z(a) + 3*t(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 5 - (0 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 140 + 70 = 0. Let v = 89 + y. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 4*a**2 + 6*a - 4. Let j(w) = -w**3 + w. Let r be j(2). Let p be s(r). Is p\/1 + -4 + 3 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(8\/36).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 13. Suppose -6 = 4*r + x. What is the units digit of (1\/(-1))\/(r\/34)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.6 - 4.1. Let q be (2\/(-4))\/((-6)\/(-4)). What is the nearest to -1\/3 in l, -0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 582256009 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 7. What is the remainder when 12 - (1 + 9)\/(-10) is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9923.428 + -9835. Let p = n - 74. Let u = -14.2 + p. What is u rounded to 2 dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 + 21. Calculate the smallest common multiple of 12 - (-5)\/(-2)*i\/60 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 472.000000425 + -472. Round l to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1130 - -1671. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2135072*a**2 + 4270069*a**2 + 2 - 2135047*a**2.\nAnswer: -50*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**5 - k**4 + k**2 - k. Let f(t) = -2*t**5 + 4*t**5 + t + 0*t**5 - 2*t - 5*t**5 + t**3. Let l(p) = 5*d(p) - 5*f(p). Factor l(m).\nAnswer: 5*m**2*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2052)\/(-189))\/((-18)\/126)*(-2)\/4.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5 = -y + 5, -3*y - 12 = 0. Let s = k + 11. Let n = s - 1. Which is the second smallest value? (a) 1 (b) -3\/4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1783234826 + 2149.2.\nAnswer: 1783236975.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 12:26 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14565, -14579, -14601, -14631?\n\"Answer: -4*k**2 - 2*k - 14559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -7*v - 6. Let w be 67\/(v\/2 + (-8)\/20). Suppose w - 2089 = -11*x. List the prime factors of x.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*r = -35*r - 6. Let m be (-801)\/(-2376) + (-2)\/r. Is m greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009875964 to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3112, 3067, 2994, 2899, 2788, 2667, 2542?\n\"Answer: l**3 - 20*l**2 + 8*l + 3123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.060525 and 0.2?\nAnswer: 0.012105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42.87 + 43.1. Which is the smallest value? (a) 1 (b) -0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -255, -257, -259, -261, -263, -265?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 8*t + 792 = 0. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32230 divided by -293\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in nine tenths of a second?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 15. Let i(a) = a + 5. Let r(o) = -3*i(o) - v(o). Let p(j) = -9*j. Give r(p(t)).\nAnswer: 18*t - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/4 + -5\/12. Let q = -7 + 8. Let u = -4 + q. Sort u, r, 0.3 in descending order.\nAnswer: r, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g - 3 = -54 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37.3 + 37. What is the second biggest value in 0.2, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*-14366.\nAnswer: -344784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-45)*0)\/(-1 + 2). Let x be (l + -4)*(-12)\/16. Solve -2*o + 20 = -3*f, f - 6*f = x*o + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.024 + 6.576. Let m = x - 4.5. Let h = 1.1 - m. What is the closest to -1 in h, 4\/7, 1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*h + 375 = 0. Suppose h = -f + 6*f. Calculate the greatest common divisor of 60 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2531015 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 n when three letters picked without replacement from yqtnyignyntgtq.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494*x**3 + 468*x**3 + 0 + 28*x**3 + 0.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*v*x**2 + b**2*v*x + 312*b**2*x - 4*b**2 - 4*b*v*x**2 + 2*b*x**2 + 44*b + 15*v*x**2 wrt b.\nAnswer: 4*v*x**2 + 2*v*x + 624*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1555.47594 microseconds to days.\nAnswer: 0.00000001800319375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -76, -1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 11) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11002595 is divided by 100?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -205 + 215. Solve 0 = 2*h - 3*g - 21, -5*g = 11*h - 6*h + v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 3. Suppose s*g + 14 = -4. Let o = 14 + g. Calculate the remainder when 29 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.00981 and -5.4813?\nAnswer: -0.053771553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -792251*y + 40 = -792211*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -30*o + 5. Let d(b) = b - 1. Let h(t) = 4*d(t) + z(t). Let f be h(-2). Suppose 173 - f = 4*s. What is the remainder when s is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 639*o**2 - 41*o - 40. List the prime factors of b(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 6*c**3 - 14*c**2 + 280*c - c**3 + 400 + 70*c**2 + 9*c**2 = 0.\nAnswer: -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/5 + 39258027*o**2\/5 + 78516042*o\/5.\nAnswer: 3*o*(o + 2)*(o + 13086007)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -4. Suppose 5*s = i*q - 55, -4*s + 59 = 4*q - 9. Suppose 5*w = 2*y + q - 2, y = 2*w - 7. Solve -p - w*h - 16 = 0, -5*p + 4*h + 1 - 9 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 738157, 1476306, 2214455?\n\"Answer: 738149*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -144*n - 8. Let o be a(-3). Let w = o + -1304\/3. Is w <= -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 - -1. Let s = 1765 - l. Round s to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c + 1. Suppose -3*f - o = o - 9, -5*f - 5*o = -15. Suppose 3*g + 5*l - 4*l = 15, -f*g + 2*l + 24 = 0. What is z(g)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -225 + -1?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566611 is divided by 94433?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 8*g + 2*g**5 - 4*g**5 + 5*g - 8*g**2 - 4*g**3. Let u(n) = -n**3 - n**2 - n. Let c(h) = 3*u(h) - y(h). Find the third derivative of c(o) wrt o.\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -69, -141, -253, -399, -573?\n\"Answer: y**3 - 26*y**2 - y - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {c: 2, u: 4, g: 1, r: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-25)\/(-2)*-1. Let a = -33 + z. Put -2\/7, a, -1\/4 in descending order.\nAnswer: -1\/4, -2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3 + 45 + 769*y - 831*y wrt y?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 8366760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -13*f**2 - 67*f - 142. Determine t(-2).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 53\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -191, 15, 359, 841, 1461, 2219, 3115?\n\"Answer: 69*z**2 - z - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 5*l + 2. Let k(g) = 43*g**2 - 430*g - 5. Let q be k(10). Give t(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -8*i**2 + 195*i - 132. What is the remainder when z(22) is divided by 57?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 234 = 4*j, -j - 3*a + 0*a + 48 = 0. Suppose -j - 133 = -5*s. Calculate the remainder when s is divided by (-1)\/3 + (-31)\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48247, -48259, -48271, -48283, -48295, -48307?\nAnswer: -48319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 + 25*z + 5. Let t(u) = -u**2 + 12*u + 2. Suppose 3*n + 17 = -22. Let o(s) = n*t(s) + 6*q(s). List the prime factors of o(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 574 by -14.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17761449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 19*k**2 + 28*k - 7. Let f be w(-17). Suppose -15 = f*r - 98*r. Which is the second biggest value? (a) 0.3 (b) -3\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*g + 18 = 0, 2*h = h + 3*g - 8. Let r = h - -10. Solve r*k = k + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*h + 9 + 0 + 14*h - 12*h wrt h?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 405*p**2 - 222*p**2 - 753*p**6 + 560*p**2 + 1553*p**6 wrt p.\nAnswer: 96000*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -t + y - 2, y = -2*t + 13. What is the least common multiple of t and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 - -96. Suppose 93 = 5*i - 4*i. Let j = i - y. List the prime factors of j.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (86 - (52 + 33)) + -89 + (3 - 5).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2. Let z(d) = 14*d - 8. Give z(s(m)).\nAnswer: 42*m**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -9099*r**2. Let p(t) = -3613*t**2. Determine p(q(j)).\nAnswer: -299126777013*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -49*z + 93. Determine b(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52026, -52022, -52016, -52008?\nAnswer: -51998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, y: 1, n: 4, r: 4, f: 1, e: 3}. Give prob of picking 1 r, 1 e, and 1 y.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 733 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789542419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76781987?\nAnswer: 389, 197383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 47680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -20, 1885, 3 in descending order.\nAnswer: 1885, 4, 3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/22470 and -121\/1694238?\nAnswer: 8471190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 11*t + 16. Let f be (-2)\/(-10) - (-528)\/(-40). What is z(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37*h + 33*h - 83*h)*(-h + h + 2*h)*(-5 + 1 + 3) as t*h + y + n*h**2 and give n.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206200651 to the power of 1\/3, to the nearest integer?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1496322890?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -7. Suppose 2*c + 9*z = t*z + 18, 3*c - 6 = 3*z. Suppose 3 = h - c. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 24*i**2 - 1. Suppose 6 = -2*h, 27 = 5*s - 5*h - 28. Calculate the remainder when r(-1) is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -i + 8, -i - i + 6 = -u. Let f = u + 7. What is the units digit of f\/(-6)*4\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-16)*9\/42?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.34 + 20. Let j = 115 + -115.74. Let u = j - x. Which is the second biggest value? (a) 4 (b) -0.01 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 764 by 1825664.\nAnswer: 191\/456416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8c6 - 3?\nAnswer: -8c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1*10\/(900\/(-9))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -997 (c) 144\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 23*s**2 + 23*s - 12. Let m be x(22). Solve -1 - 19 = m*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*c**2\/5 + 6887*c\/5 + 207731\/5.\nAnswer: (c + 31)*(6*c + 6701)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5732 is divided by 1907?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/7*t + 20\/7 - 2\/7*t**2.\nAnswer: -2*(t - 10)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5 + 9*y - 12 + 4 - 2. Let u(x) = -22*x + 12. Determine -12*g(q) - 5*u(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 - 16. Let k(z) = 1191 - 1191 - 195*z**2 + 222*z**2. Determine k(f(o)).\nAnswer: 108*o**4 + 1728*o**2 + 6912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + 1 + sqrt(1539)) + ((-4*(1*sqrt(228) - sqrt(228)))\/(sqrt(12) + -4*sqrt(48)))**2.\nAnswer: -45*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131 bigger than 1129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*t, 4 = -4*s + 6*t - 8*t. Solve -79*w + 71*w + 40 = s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1335*r**2 + 105*r**3 - 1335*r**2 + 1 + 0 + 1.\nAnswer: 105*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -556432 (b) -4 (c) 0.4 (d) 0.12 (e) 1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v + 5. What is d(-7)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -6. Let c be 13\/4 + j\/(-4). Suppose -c*y = y. Solve y = 6*p - p + 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -169 + 170. Let w be 2*4 + 6\/(-3). Let t = w - 51\/8. Which is smaller: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24355917 divided by -477567\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 - 113. Suppose -1 = -y + 2, y = -n - 15. Let m be 3\/n - (-1)\/(-3). Which is the nearest to i? (a) m (b) 0 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.94 - 18\nAnswer: -19.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 90\/40 - 2\/8. Let g(d) be the second derivative of o*d + 1\/9*d**2 + 1\/9*d**3 + 0 - 2\/27*d**4. Factor g(w).\nAnswer: -2*(w - 1)*(4*w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2. Let c(z) = -90976*z. Calculate c(y(n)).\nAnswer: 90976*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20933 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 49*d - 30. Let u be z(17). Let f = -546 + u. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -41*r - 476. Let d be l(-12). Solve d = 20*p + 96 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 1\/2, 57386, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 760 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -9.2. Let h = 0.05 + -0.05. Let j = -0.1 + 2.1. What is the nearest to h in j, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*d = -6*z + 35, -d = -2*z + 3. Suppose 26 = -5*u - 34. Let f be (3\/36)\/(5 - (-57)\/u). Which is the third biggest value? (a) z (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15026\/3315 + 2\/3315. Find the common denominator of 26\/45 and z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = 4*i - 6*i - 30, 2*j = -i - 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 21 = -3*r, 2*v = 6*v - 3*r + 7. Solve 2*t = t + v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -2*z. Suppose 5*m = 2*x - 0*x, 0 = -3*m + 3*x. Suppose m = 4*j - 17 + 5. Solve -j*o = -2*o + z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u**3 - 3*u**2 - u + 2. Let w be a(2). Let t(x) = -x**2 + 7*x + 3. Let p be t(6). Let z = w - p. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1738\/10037 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 7 (c) 4\/7 (d) -13 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -838 or -837?\nAnswer: -837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -10. Let u = 26.1 + -26. What is the closest to u in d, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*n = 8, 3*k = -k + 4*n + 112. Let y = -10 + k. Let r = y - 5. What is the remainder when r is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2, 0.048, 35, -645, 5 in increasing order.\nAnswer: -645, 0.048, 0.4, 2, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 320161, 320155, 320145, 320131, 320113, 320091?\nAnswer: 320065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 364414833.9999452 - 364415297. Let u = a - -463. Round u to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4651104 divided by -2325552.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) 3\/2 (c) 2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 3*v = 3, -13*v = -10*v - 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m + 4*m - 9 + 0*m - 3*m. Let u be l(-11). Let q(i) = i - u*i - 6*i + 2*i. Calculate q(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459780.\nAnswer: 2, 3, 5, 79, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2 + z. Let p be c(1). Suppose 3 - k**2 + 5*k + p - 13*k + 3*k**2 = 0. Calculate k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**5\/7 - 345*s**4\/7 - 348*s**3\/7.\nAnswer: 3*s**3*(s - 116)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -365*t + 737*t + 1027*t + 97*t.\nAnswer: 1496*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*w + 3 = 0, -u + 7 = 3*w - 4. Let n = -0.2 + 0.1. What is the closest to -0.1 in n, u, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 192, 1470, 4944, 11712, 22872, 39522, 62760?\n\"Answer: 183*r**3 - 3*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 332.7 take away -561?\nAnswer: 893.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-627) + (-96)\/912.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15504 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**5 - 20*g**4 - 195*g**3 - 290*g**2 + 140*g + 360.\nAnswer: 5*(g - 9)*(g - 1)*(g + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -8*a + 762. Let o = -275 - a. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45079110 divided by -22539555?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 83501.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/35 and 48\/3955?\nAnswer: 3955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k = 3*i - 115 + 319, 66 = -i - 5*k for i.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/40716 and -23\/406.\nAnswer: 285012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 3*t**7\/2 - 14*t**3\/3 - 4*t - 15. What is the second derivative of h(r) wrt r?\nAnswer: 1260*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4264 and 10478?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1177 + -47.1177. Let v = -1.2 + 2.3. Let s = v + -1.2. Is p bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1321058cm in kilometers?\nAnswer: 0.000001321058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 592*-1*4\/(-8). Suppose -10*m + 6*m + f = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*g - 0. Let j = -421 - -1671\/4. Is j <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 15 - 18. Suppose c*m - 1 = -1. Suppose -5*k - 5 = m, -5*k = 4*i + i + 5. Solve 3*g + 1 - 4 = i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9408 and 5049744.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 99*k**3 + 2*k**2 - 5*k - 6. Let u be a(-3). What is the common denominator of 1\/(-4) - (u\/(-264))\/3 and -53\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2339?\nAnswer: 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 192 and 120 - 0*(-14)\/84.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 6:55 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**6\/30 + 3*i**5\/20 + 3*i**4\/8 - 17*i**3\/6 - 25*i**2. Let p(t) = t**3 - 2*t**2 - 2*t + 4. What is -2*l(q) - 9*p(q)?\nAnswer: -q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, p: 1, b: 2, c: 2, n: 1}. Give prob of picking 1 l and 1 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6122030 is divided by 131.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 2345.\nAnswer: 2350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 84*w - 184.\nAnswer: 4*(w - 2)*(w + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 14 = -q, 2*q = 5*y - 3*q - 25. Suppose 0 = 4*n + 2*w - 388, 392 = -y*n + 7*n + 3*w. What is n rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 158.\nAnswer: -3\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k - 4*k + 2*k)*(2*k**3 - 7*k**3 + 3*k**3) - 224*k**4 - 106*k**4 - 102*k**4 in the form o*k + h*k**3 + f + q*k**2 + b*k**4 and give b.\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6867 and 35343?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -255, 0.4, -3\/5, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -32*o + 103. Let x(f) = -7*f. Calculate h(r) - 4*x(r).\nAnswer: -4*r + 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*l**2*y + b*l*y + 2*b + 7*l**2 - 18*l*y + 125*y with respect to l.\nAnswer: 4*b*l*y + b*y + 14*l - 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + -2. Let q be (-12)\/(-54) - (-426)\/27. What is the common denominator of 37\/12 and (34\/l)\/(q\/(-12))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1521571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 42644163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q - 15*q + 34 = -3*l, -4*q = 5*l - 42 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/12*(-151700)\/7585.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 j, and 1 e when four letters picked without replacement from jejfefeeeeee?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(1\/5))**(-3\/29)*(t**2\/t)**(-2\/85) assuming t is positive.\nAnswer: t**(-262\/2465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 211 - 211)*(0 + 2 - 1)*(-4 + 3 - 2) - 20*y + 26 + 27 - 56.\nAnswer: -32*y - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60073529?\nAnswer: 17, 29, 121853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 1557628 - 642372. Round v to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -32, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y + 15. Let g be 5*(-2)\/(-6)*3. Suppose -o + 4*m = 31, 4*o + 17 = -g*m - 2. Let c(r) = 2*r + 8. Let b(a) = o*c(a) + 6*j(a). Calculate b(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from llbrllrrkr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 22*z**3 - z**2 + 12*z**3.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**5)**(-4\/7))**(-24))**(-1\/52) assuming z is positive.\nAnswer: z**(-120\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*(t*t\/(t\/(t\/(t*t*t*t**(-12))))*t)\/t)\/(t\/((t\/(t*t*t*t**0))\/t))*t**(-14)*t*t**(-11) assuming t is positive.\nAnswer: t**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7388.\nAnswer: 2, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8045*z**4 + 80*z**2 + 52*z wrt z.\nAnswer: -193080*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*b + 14. Let a be -3*((0 - -1) + -2). Let g = 0 + a. Solve -g*s + s = u + 10, 5*s = -b*u - 30 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/((-6591)\/7605)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 + 21*n**2 - 19*n - 65. Give g(-11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.17698ml to litres.\nAnswer: 0.04117698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07 - -0.13. Let b be 11 - (6 + 4) - -3. Let n = 2 - 3. Sort b, n, 2\/19, h in increasing order.\nAnswer: n, 2\/19, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, -9818, 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-5)\/(-3)))\/(((-1404)\/(-8))\/(-9))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -253 divided by -3.\nAnswer: 253\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 853, 1690, 2529, 3370, 4213, 5058?\n\"Answer: p**2 + 834*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/(-35) + (-663)\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355930 is divided by 3524?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 352*a - 16412. Calculate z(37).\nAnswer: -3388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -75*a**5 + 14995*a**4 + 5260*a**3 - 847500*a**2 - 898880*a - 224000 = 0. What is a?\nAnswer: -7, -2\/3, -2\/5, 8, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 146780613 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l. Let b(f) = -9*f - 474149. Give x(b(q)).\nAnswer: -18*q - 948298","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**2 + 2*w - 18. Let t(d) = 9*d**2 + 5*d - 35. Let m(o) = -6*t(o) + 11*y(o). Let l be m(8). Let k be 3 + 9 + (-2)\/2. Which is smaller: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9991177 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -13*l - 54. What is n(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/410 and 31\/820?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 7*h**5\/40 - 18*h**3 - 135*h. Let o(g) be the second derivative of n(g). Let m(p) = 8*p**2. Give m(o(a)).\nAnswer: 3528*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 182518920 to the nearest one million.\nAnswer: 183000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107236?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/221*-9*5\/(-90))\/(20\/8).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 321075850 rounded to the nearest one hundred thousand?\nAnswer: 321100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 61*i - 199. Suppose 11*o - 163 = -64. Is 14 a factor of y(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52154 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - p - 1. Let y(u) = -5*u**2 + 13*u - 9. Let k(z) = 6*w(z) + 2*y(z). Suppose k(s) = 0. What is s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119 - 117 - (0 - (-14 - 3) - -2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1042 + 80?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -3356?\nAnswer: 3360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*p = -38*p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - k = 3, -263 + 223 = -5*p + 5*k. Let g(f) = 4*f + 3. Let x be g(-2). Which is the third biggest value? (a) -0.2 (b) x (c) p (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**4\/20 - o**3\/15 + 4. Solve f(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100577 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: b\"What is the rth term of -536, -2217, -5242, -9791, -16044, -24181, -34382?\n\"Answer: -30*r**3 - 492*r**2 + 5*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 5*b + 16797, -f + 773 = -2*b - 4837. Let v = 14054 - f. Round v to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-4) - (-4170)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eetpttlfteifil.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -526388.8187 rounded to the nearest ten?\nAnswer: -526390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 10*v - 55. Let f be d(19). Let m be 120\/f*6\/4. Which is the nearest to -5? (a) m (b) -2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7945\/44967 - -79\/3459. Let w = 0.4 + -0.2. What is the third biggest value in 12, w, v, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 4 - 4) + (3 - (-1 + -2))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 79 = -3*k - 0*c, 0 = 3*c - 15. Are k and -28 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c + 11. Let a(p) = 2*p - 5. Let v(b) = 7*a(b) + 3*w(b). Suppose 26*s = 128 + 28. Give v(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 3*n**2 + 2*n - 3. Let j be q(3). Let o(i) = -j*i + i + 5*i**2 + 2*i. Let c(b) = -6*b + 4*b + 4*b. Give o(c(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 36864 = 10*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000029103 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05008 and -99316?\nAnswer: -4973.74528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + -1)\/(6\/(-3)). Solve n*m - 6 = 0, -4*m - 2 + 19 = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 882468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 340838957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2 - 2*y - 2. Suppose -3*r - x + 0 + 9 = 0, 3*r - 2*x = 0. Let b(f) = -3*f + r*f - 2*f. Determine h(b(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(180)\/sqrt(3))\/sqrt(2))\/(sqrt(24)\/(-3*sqrt(36) + sqrt(4) - sqrt(4))).\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.019667 to 3 dps.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 4*r - 1. Let q(v) = v**3 - 5*v**2 - 6*v - 8. Let u be q(6). Let b be 1\/2 + 84\/u. Let f be (12\/b)\/(8\/(-20)). Determine d(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10, -55, -114, -175, -226, -255?\n\"Answer: 2*l**3 - 19*l**2 - 2*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7\/z*z)\/(((z**(-2\/11)\/z)\/z)\/z)*(((z\/(z*z**4)*z)\/z)\/z)**4 assuming z is positive.\nAnswer: z**(-108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/(-12)*-6)\/2. Solve -m + z = -x, 3 - 17 = 5*x - 2*m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 7*q + 11 = 11*q, -4*q - 4 = 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 84082.37 tonnes?\nAnswer: 84082370000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 13. Let m(j) = -23. Let z(w) = -4*m(w) - 7*y(w). Let p(d) = d - 2. What is -p(g) - 4*z(g)?\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 299*v - 177*v**3 + 9*v**4 - 299*v + 114*v**2 = 0.\nAnswer: 0, 2\/3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-411 + (-8)\/(-4))\/(16\/(-112))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/461643 and -53\/1121133.\nAnswer: 7847931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 2914 + 2897 = f, 3*f + 2*u - 6 = -6*f + 56 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*d = 340, 2*d + 56 = -3*h + 2*h. Let r = h + 90. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*o = -12, 2*o + o = -5*k + 54. Solve 13 = 2*j + 3*x, x = -4*j + j + k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/11 + 16*s\/11 + 18\/11.\nAnswer: -2*(s - 9)*(s + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**2 + 141*n + 1591. Calculate z(-53).\nAnswer: 2545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/19 (b) -4\/3 (c) 0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**4 + 2 - c + 3*c**3 + 3 - 5 in the form q*c**2 + x + z*c**3 + p*c**4 + b*c and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - -75 - 75)*22\/(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3098538413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 5. Let q be b(-5). Let l be (24\/q)\/((-16)\/880). Suppose -2*i = -l + 34. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1321 = k, -5812 + 1909 = -3*k - 3*q. Is k a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -37, 235, 701, 1367, 2239, 3323, 4625, 6151?\n\"Answer: o**3 + 91*o**2 - 8*o - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12744885 + 817.94\nAnswer: -12744067.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -4*n**4 - 2140*n**3 - 300416*n**2 - 13040432*n - 36475008 = 0?\nAnswer: -344, -94, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - l - 10 = -31, 5*l = 5. Let m(i) = 1. Let f(x) = -x**2 + 11*x - 3. Let a(y) = -f(y) - 2*m(y). Is a(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 370 divide 5211820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 10:29 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = 13*b - 3*b. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4501 + -1.0501. Suppose 24 + 26 = 3*s + 5*k, 3*k = 12. Which is the closest to -2\/5? (a) s (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (51 - (4 + -1 + -6 + 14)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from weweys.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 4) to base 5.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1602 and 24?\nAnswer: 6408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6630556220.\nAnswer: 2, 5, 331527811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 127, 3, -3, 2 in descending order.\nAnswer: 127, 5, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -216\nAnswer: -5\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5497712 and 27632.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 3:06 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-22)\/x*x**(-7\/4)\/x*x**(-6)\/(x\/(x\/(x\/(x*x\/x**(-19)))*x)) assuming x is positive.\nAnswer: x**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4 + (-8)\/16. Suppose -10 = -q - n. What is the remainder when 38 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*d = 2*d - 2, -5*c - 3*d + 4 = 0. Let z be (9\/27)\/(c\/18). Suppose -572 = -2*i - z*a - 2*a, -2*a = 4*i - 1160. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4479, -4522, -4539, -4518, -4447?\nAnswer: -4314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146 = -202*h + 180 + 684 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**3 - x**2 + x - 1. Let b be v(1). Suppose 0 = 5*l - b*d - 20, -2*l - 3*l + 20 = 3*d. Calculate the greatest common factor of 10 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n**2 - 5*n**2 - 2*n**2. Suppose 0 = 2*m - 9 - 1. Let h(j) = -2*j. Let a(y) = y. Let b(t) = m*h(t) + 8*a(t). Give r(b(q)).\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*((x\/x**(-2\/23))\/x)\/x*x*x)\/(x**(1\/6)\/x)*((x**7\/x)\/x)**8 assuming x is positive.\nAnswer: x**(5923\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1147553955.\nAnswer: 3, 5, 25501199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 63 = 6*h. Let u = 21 - h. Solve -s + u = 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 - 2*k**2 + 2*k**2)*(2 - k - 2) + 197*k**4 - 89*k**4 - 97*k**4.\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**4\/60 + m**3\/15 - m**2\/10 + 9*m. Find d such that y(d) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7488 minus 16110?\nAnswer: -8622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 8:07 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y - 1340 + 282 = 0. Let m(l) = -2*l**3 - l**2 + 16*l + 16. Let o be m(-5). Calculate the highest common divisor of y and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v. Let f(b) = 26194523*b**2. What is f(u(n))?\nAnswer: 26194523*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**3 - 26594*t + 26594*t.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 159103802 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2\/5 (b) 277 (c) 5 (d) 57066\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3064909564?\nAnswer: 2, 766227391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b**3 - 617*b**2 + 18515*b - 4492. What is a(-180)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-15) - (-3 - (-3)\/(-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times -96?\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6647 - -28798.484.\nAnswer: 35445.484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 70 - (91 - 29) - (-1 - -1 - -81)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 758 + -749. What is the remainder when 104 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = b - 4*b - 13, -4*b = -i + 14. Suppose -i*c = -11 + 7. Solve -c*t + 0*t = 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 0)*(21 - 3*z**2 - 21)*(-z + 4*z - 4*z + (4 - 4 + 2)*(-6*z + z + 2*z)) - 15 - 3*z**3 + 15.\nAnswer: -108*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((3444\/8)\/(-3))\/((-2)\/4). Let b be (18\/(-72))\/((-2)\/328). What is the greatest common factor of y and b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36721*v + 66956?\nAnswer: -36721","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -13. Let s = 10 + v. Calculate the lowest common multiple of 12 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(396)\/(-1*sqrt(12) + sqrt(12) + sqrt(12)))\/(sqrt(33)\/(sqrt(33)\/sqrt(3))).\nAnswer: 3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 365\/566 + -1500757\/2326543. Is -1 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4.7 (b) 125404 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*s**3 - 90 - 1122*s**3 + 44 + 228*s**3 + 46.\nAnswer: -798*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**3 - 36*l**2 - 104*l - 84. Let v(k) = -4*k**3 - 36*k**2 - 106*k - 85. Let u(q) = -5*c(q) + 4*v(q). Factor u(a).\nAnswer: 4*(a + 2)**2*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 120 - 181 = -9*m - 126 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/(-20) - 1 - -2. Which is the third biggest value? (a) -2 (b) 0 (c) 22\/5 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*i - 1533*i**2 + 1533*i**2 - 44*i - 2*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 8:57 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 55, 3, -5 in decreasing order.\nAnswer: 55, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 55.1? (a) 10\/3 (b) 18 (c) 1\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7605464?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -15. Let j = 5 - 8. Let x be -1 - (j + z*4357). Round x to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or 1\/245470?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + z**2 + 6*z - 11. Let x be 10\/55 - 318\/(-66). Let k be r(x). Which is greater: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4770?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*u = 4*u + 10, 0 = -4*m + 2*u + 10. Let g = 25111\/9330 + 8\/933. What is the common denominator of m\/1 + (-15)\/(-24) and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m + 1. Let z(n) = -5*n + 3. Let h(s) = 7*d(s) - 4*z(s). Let l be h(-7). Suppose 3*x + 7 = t + 5*x, t - x + l = 0. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3626 is divided by 507?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 17 = 5*v - 13, -q = -v + 6. Solve 0 = -2*k + 10, q = 5*w + 23*k - 27*k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 2*x - n - 4*n, -14*n + 114 = -x - 82*n + 488 for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-1456)\/(-14))*(6 + 0)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*u + 10, -6*u - w + 4 = -3*u. Let n be (-1)\/(-4) + u\/(-28)*-7. Let y = -15\/2 + 47\/6. Sort 2, y, n in decreasing order.\nAnswer: 2, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -699 + 713. Solve 9*h - g*h + 5 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 14 + 17 + 908*v**3 - 52 - 1.\nAnswer: 908*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-2\/7)*c*c*c))**(-2\/47) assuming c is positive.\nAnswer: c**(24\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 305502 (base 6) to base 13\nAnswer: b267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 h when three letters picked without replacement from {h: 5, r: 13}.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/861 - -5455\/1722. Suppose 44 = 4*w - 16. What is the common denominator of w\/(-2)*(-41)\/(-25) and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*p + 6 = -5, -4*p - 6 = -5*f. Suppose 2*l + f = 3*d, l + l - 2 = 2*d. Suppose l*g - 4*g - 22 = 0. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -623675, -1247353, -1871031, -2494709, -3118387?\n\"Answer: -623678*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l - 2*l - 7*l - 286 - 23*l + 286 + (-l + 4*l + 0*l)*(-2 + 2 - 1) - l - 2*l + 4*l.\nAnswer: -31*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 - 2*y + 2*y)*(-17*y + 0*y - 16*y) + (-y + 0 + 0)*(1 + 0*y**3 - 2*y**3 - 3).\nAnswer: -64*y**4 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45517 is divided by 523.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 9986 = 5*k + 1561, 0 = -2*k + 5*m + 3370. Find the common denominator of 0 + 1 + -1 + -47 and (80\/45)\/(-8) + k\/(-315).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -214*b**2 - 1610*b**2 - 853*b**2 - 83*b**3 + 84*b**3 to j*b + r*b**2 + g*b**3 + l and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8611362.\nAnswer: 2, 3, 127, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/7*6\/4. Let c(l) = -l - 6. Let u be c(7). Let d = -13 - u. Solve d = t*j - 2*j + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dgii when four letters picked without replacement from {g: 1, i: 4, d: 1, l: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/31 in 1, 37\/2, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 27 + 14*f + 25 + 2*f.\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -940699, -940702, -940705?\n\"Answer: -3*j - 940696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 74?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -166 + 70 + 102 - (2 - -129)?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6242 + -6242. Solve -37*c + 30*c + 49 = r for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/10 - (-2)\/4)*10. Suppose -2*m + 0 - 3 = -c, -4*c + r = 0. Solve -3 + m = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126488839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t. Let r(a) = 6*a + 1. Calculate -5*i(s) + 2*r(s).\nAnswer: -3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 + 15*s**3 - 74*s**2 + 132*s - 72.\nAnswer: -(s - 6)**2*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(232\/4176).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/945702 and -133\/20174976?\nAnswer: 60524928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*f**3 - 37396*f**2 - 12464*f.\nAnswer: -4*f*(f + 3116)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 13*m + 270 - 138 - 120 + m**2. Let t be s(-12). Suppose t = -3*j + 5*i + 312, 3*j - 385 = 4*i - 70. What are the prime factors of j?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y - 22*c = -34*y - 3*c - 138, 0 = -3*y - 3*c + 2*c - 22 - 36 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h + 30. Let j be s(13). Suppose j*i = -5287 - 4165. Let a = -3323 - i. Round a to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723152 is divided by 36154.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*o - 17*o**3 - 53*o - 82*o - 50*o - 4*o**3.\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27249 is divided by 27234?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2331405941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 + 78*b - 56. What is j(-27)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-2)\/(-2 - (-3178668)\/1589331) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176064 and 29701056?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -327619494 by -774.\nAnswer: 423281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f*f\/(f\/(f**(4\/9)*f)))\/f))\/f**(-2\/51)*f**(7\/5)*f*f\/((f*f**(-7\/4)*f)\/f)*f assuming f is positive.\nAnswer: f**(11459\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 23 (b) 0.5 (c) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -69538 - -36a?\nAnswer: -69179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/85? (a) -3 (b) 4 (c) -1\/4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 4*l**2 + 3*l - 7. Give w(-6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 468, 937, 1406, 1875?\n\"Answer: 469*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 0 + 0\/6. Let f(j) = 6*j**3 + 2*j**2 + j. Let p be f(h). Sort 5, 0.2, 0.1, p in descending order.\nAnswer: 5, 0.2, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 17. Let u(q) = q + 16. Let z(m) = 4*t(m) - 5*u(m). Let o be z(-14). What is the nearest to o in 2\/5, 1\/2, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 14?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -51, -99, -147?\n\"Answer: -48*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 2, c: 1, p: 2, m: 1, u: 1}. What is prob of picking 2 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 2*m - 65. Calculate the remainder when 22 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g. Let m(z) = -z**2 + 17*z + 15. Let u(r) = 29*r - 4. Let n be u(2). Suppose 90*y - 93*y = -n. Let s be m(y). Calculate o(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -y - 1. Suppose -2*c - h = -6*h - y, -5 = -3*c + 5*h. Suppose -2*j - 271 = -3*g - 29, 4*g + j - 330 = c. List the prime factors of g.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1695 is divided by 123?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 6259 = 3*n, 3*n + 1579 = -r - n. Which is greater: -1566 or r?\nAnswer: -1566","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36, -30, -24?\n\"Answer: 6*v - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9019137.\nAnswer: 3, 107, 28097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011001100011001 (base 2) to base 7.\nAnswer: -445130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 11 = -3*r, r + 4*r = 4*f - 3. Suppose -3*y - 5*j + 30 = 0, y - 1 = 2*y - f*j. Let u(q) = y*q - q + q + q. Let l(m) = m. Give u(l(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40038*b**3*d*q**2 + 2*b**3*q - 339*b**2*d**2*q**2 - 756*b**2*q - 5737*d**2*q wrt q?\nAnswer: -80076*b**3*d - 678*b**2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 4*c - 3. Let y be p(-5). Suppose 8 = -y*o + 6*o. Suppose -40 = -o*j - 4*z, -z = 3*j + z - 56. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(45\/(-51) + -5 + 6). Suppose -16 = -4*b - 4*n, 8*b - 4*b - f = -5*n. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(68) + -2 + -4)**2 + (sqrt(68) - -1*-2*sqrt(68)) + sqrt(68) + -1.\nAnswer: -40*sqrt(17) + 167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50766135 and 270?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 121446216 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*p**3 + 88680*p**2 + 24663885*p + 48973690.\nAnswer: 5*(p + 2)*(4*p + 2213)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 - 22*o + 27. Let g be w(-12). Suppose -5*t + 0 = 5*d - 10, 2*t = g*d + 9. Is 2\/159 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 298 = 34. Suppose -27 = 2*t - 71. What is the highest common divisor of m and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 n when four letters picked without replacement from {m: 8, k: 4, v: 3, x: 1, n: 1}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 - -55. Suppose -g = -25*w + 24*w. Suppose -980 = -w*q + 940. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-19)\/h)\/h)\/(h*h\/(h\/(h\/h**(14\/9))*h)))\/(h**(4\/13)*h**(-1)) assuming h is positive.\nAnswer: h**(-2311\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11aa59 (base 13) to base 15\nAnswer: -85793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1426 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12, -22, -118, -306, -616, -1078?\n\"Answer: -5*r**3 - r**2 + 4*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3653736 divided by 152239?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -224.8 + 225. Which is the third biggest value? (a) m (b) 3\/7 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 = 3. Suppose 4 = 5*j - p. Let i(q) = q**4 - q**2 + 1. Let s(x) = 8*x**4 + 7*x**3 - x**2 + 3. Let b(c) = j*s(c) - 3*i(c). Factor b(h).\nAnswer: h**2*(h + 1)*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 812123904 and 11519488.\nAnswer: 1624247808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 57 from -170037.35.\nAnswer: -170094.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2404548.2 rounded to the nearest 1000?\nAnswer: -2405000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.095541438 rounded to 4 decimal places?\nAnswer: -0.0955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -73.5 (c) -3 (d) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60262 - 39912. Calculate the remainder when h is divided by 128.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 294 = 5*k, 3*k - 4*m - 35 - 138 = 0. Solve 0 = -q - k + 57 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5468246 (base 9) to base 2\nAnswer: -1011001101011110110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/4890 and 17\/8?\nAnswer: 19560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 59\/4*c**4 - 20*c + 0*c**2 + 0 + 0*c**3 - 9\/2*c**5. What is the third derivative of w(v) wrt v?\nAnswer: -540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -19*r**2 - 737*r + 156. Determine s(-39).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19008347.\nAnswer: 269, 70663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6*m - 2. Let a be x(-1). Let j = 2 - 2. Let d(l) = 4*l**2 + j - 5 - 3*l**2 + 1. What is d(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5976 (base 12) in base 13?\nAnswer: -4743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k*k\/(k\/(((k*k**5)\/k*k)\/k)))\/k))**(-29))**12)**(3\/20) assuming k is positive.\nAnswer: k**(1044\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2458 divided by -1?\nAnswer: 2458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 912\/(-114) - 8\/(-1). Solve h = -44*b + 77 - 297 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*c**4 - 10*c**4 + 10*c**5 + (8*c**3 + 19*c**3 - 11*c**3)*(-3*c**2 - 3*c**2 - 7*c**2).\nAnswer: -198*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 5*g + 45 = 2*z, 2*z - 25 = -3*g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2 + 25*d - 4. Let u be v(8). What is the derivative of 604*o**4 - 181 + 596*o**u - 1206*o**4 + 39 wrt o?\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-100)\/(-1600) + (-1186)\/32. Sort v, -27, 1 in ascending order.\nAnswer: v, -27, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 6 - (188 + -202)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**3 + 4*v**2 - 15*v + 3. Let d(m) = -11*m**3 - 7*m**2 + 31*m - 7. Let k(z) = -6*d(z) - 13*f(z). Let y be k(9). Is (-52)\/(-12) + 2\/y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**2\/9 + 22*v\/9 + 28\/3 = 0.\nAnswer: -3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -8, c + 3*g = 7*g - 6. Let i be (6\/c)\/(9\/6). Suppose -5*r + i*r = 3*t - 6, 0 = r - 2*t - 5. Solve -6 = -3*w - r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17301607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + k**2 - k + 19. Let g = 23 - 23. Let q be d(g). Let s = 569 + -531. What is the highest common divisor of s and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -149 - 101*f + 149 as x*f + d and give x.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 4*v + 1. Let a = -6 - -11. Let y(j) = -j**2 + 8*j - 5. Calculate the least common multiple of y(a) and s(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3639383.\nAnswer: 11, 330853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -3*w + 27, -16*w + 152 - 60 = 4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 6*y**2 + 7*y - 6. Let t = 1 + 3. Let l be h(t). Let j(s) = s**2 + 9*s - 6. Let p be j(l). Which is the biggest value? (a) -3 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/72 and 17\/296.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 7:51 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -195198 (b) -35 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 577*v - 15680 = -585*v + 1142*v. Calculate the remainder when v is divided by 54.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1399211248.\nAnswer: 2, 17, 881, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/5 - 204*t**3\/5 + 5202*t**2\/5.\nAnswer: 2*t**2*(t - 51)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -19*v**2 - 152*v - 5. Calculate b(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -a6ad (base 15) in base 11?\nAnswer: -24548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18472 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9961 + 9962. Let c = 0.26 + 0.04. Put 54, c, h in decreasing order.\nAnswer: 54, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 33\/(-7))\/((-11)\/7).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.312613 to three decimal places.\nAnswer: -0.313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*t - 5532, -3*x = -4*x + 3. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517\/33 - (-2)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 4279*c - 4259*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718036 is divided by 718036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -100876\/15 - -6726. Determine m, given that 0*m - j*m**4 + 0 - 2\/15*m**5 - 2*m**3 - 6\/5*m**2 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2384, -5334, -9400, -15140, -23112, -33874?\nAnswer: -47984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53929\/10 - -5388. Calculate the common denominator of y and 9\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*64\/80*(-11832500 - 0). What is w rounded to the nearest 1000000?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3698, 3698, 3700, 3704?\n\"Answer: l**2 - 3*l + 3700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2973, -8074, -16569, -28452, -43717, -62358, -84369, -109744?\n\"Answer: i**3 - 1703*i**2 + i - 1272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 92?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*c**2 + 10*c**2 - 3*c**2 + 9*c**2 + 5*c - 11*c**2.\nAnswer: 22*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -77.8 + -1259.96617.\nAnswer: -1337.76617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.7 take away 5?\nAnswer: 38.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79554164 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*s**3 + 20*s**3 + 59*s**3 + (3*s - 4*s + 0*s)*(-s**2 - 3*s**2 + 3*s**2) - 2 + 2 + 3*s**3 to i*s**2 + o + j*s + t*s**3 and give t.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or -257542?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 1*(-12)\/2. Let d be 10\/3 - c\/(-12). Let q be (4\/(-1) + 0)\/(-2*1). Solve -5*j = 4*v - q, 0*j = -v - d*j + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 + -40. Let b = -65 - s. Let g = -18 + b. What is the lowest common multiple of 16 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -293*v**7\/210 + v**6\/60 - 19*v**5\/30 + v**4\/8 + 323*v**2 + v. What is the third derivative of m(c) wrt c?\nAnswer: -7032*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, 0, 19, 54, 111, 196, 315?\nAnswer: 474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 1721?\nAnswer: -1720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/((3685\/(-13200))\/67)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 1\/((-2)\/(-24)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**8\/48 + l**4\/3 + 8*l**2. What is the second derivative of k(h) wrt h?\nAnswer: -140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -6*c. Let f(b) = -2*b + 11. Let l be f(8). Suppose -22 = s + 5*v, 2*s = 4*v - 2*v + 4. Put s, -1, c, l in descending order.\nAnswer: c, -1, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 154*l**2\/3 + 925*l\/3 + 2.\nAnswer: (l + 6)*(154*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**3 - 5201*o + 2 - 15*o**2 + 734*o**2 + 13*o**2 + 25*o**2 + 5203*o to p*o**2 + u*o + d*o**3 + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 11 - 1 = 0, -2*l = -b - 3. Let a = b + 17. Suppose -m = -a*m + 40. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -400*q + 806. Let a be y(2). Solve -136*k = -139*k - a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1105086256 is divided by 11467.\nAnswer: 11466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -92, -152, -220, -296?\nAnswer: -380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3866 = -133*k - 940 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1407*w - 98. Let u be f(-4). Round u to the nearest 100.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -809\/103 + 104917\/14420. What is the common denominator of j and 179\/840?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 5*b - 2 - 0, 5*t + 2*b = -t + 5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 7. Let x(w) = w - 8. Let s be x(5). Let a be i(s). Let h(c) = -c + 6 - 4 + 6*c. Calculate h(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2476?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, x: 4, k: 2}. What is prob of picking 2 k and 1 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -1\/106, -1, 6, 4, -32 in decreasing order.\nAnswer: 6, 4, 3\/5, -1\/106, -1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 3*k + 2963 = 0, -13*i - 1692 = -17*i + 2*k. Calculate the highest common divisor of i and 475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23950403597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -3.31?\nAnswer: -3.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2 - 6. Does 29 divide (r - 1)*13 - 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -9, -6, -28, 3, 0, 4471 in increasing order.\nAnswer: -28, -9, -6, -4, 0, 3, 4471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - ((-60)\/4)\/(-5). Solve -5*w + 13 = -b*h, -h - h + 8 = 5*w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6224*h**3*o + 2321*h**3 + 10262*h**2*o**3 + 579*h**2 + 4 with respect to o.\nAnswer: 6224*h**3 + 30786*h**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6287730 and 0.4.\nAnswer: 2515092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b**2 - 268*b + 8. Calculate i(-67).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 1. Let v(w) = -5*w - 5. Let m(s) = -4*v(s) - 22*y(s). Let b be m(-5). Let z = b + 26. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - -1122110?\nAnswer: 1122210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 10*o**2 - 8*o + 23. Calculate n(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/13 and 1135\/100 - (-2)\/8?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z + 6*z + 6*z**3 - 2*z**2 + 4*z - z. Let o(k) = -7*k**3 + 2*k**2 - 4*k. Determine -6*b(p) - 5*o(p).\nAnswer: -p**3 + 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-4) + (-14553)\/(-4410))\/(6\/(-2)).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (74 - 85) + (23 - -1 - 4) + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 491 or -139.4?\nAnswer: 491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-5) + (-12)\/(-30). Suppose 0 = -4*g - n, -5*g - 6 - 2 = -q. Solve -2*y - q + 9 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -3. Let a = 18.57 - -0.43. Let g = 18 - a. What is the closest to 0.1 in r, g, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 3, -1, -4, 316 in decreasing order.\nAnswer: 316, 3, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -851, -636, 1717, 7276, 17109, 32284?\nAnswer: 53869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1795 = -z, -3*n + 1065 = 155*z - 158*z. What is the smallest common multiple of n and 1*4*(2 - 1)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 10 = i - 16, 4*g = 4*i - 44. Let a(x) = -x**3 + 3*x**2 + 2*x + 2. What is the lowest common multiple of i and a(-3)?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 8948, -0.087, -10\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 13, y: 5}. Give prob of picking 2 y.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -13b (base 13) to base 11\nAnswer: -18a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 404 + -399. Suppose 0 = 3*k + 4*f - 14 - 1, -5*k - 3*f = -25. Suppose -k*x + 10 = -w, 4*w - 3*w - 2*x = l. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a hour in minutes?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28b6623 - -1?\nAnswer: -28b6622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/48 and ((-191)\/132)\/1 - 26\/(-78).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 - -78. Let h = f + -44.1. What is h rounded to 0 dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58969 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-11) - 884\/1144.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -3, -4, 4 in ascending order.\nAnswer: -4, -3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265163 - 38*f**3 + 530338 + 14*f**2 - 265175 - 14*f**2.\nAnswer: -38*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4297, -17693, -40025, -71293, -111497?\nAnswer: -160637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v - 8*v**3 - 59*v**3 - 59*v**3 as z*v**2 + q*v**3 + g + c*v and give q.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/298 and 65\/18.\nAnswer: 2682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052335 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 10328718 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 0.0049683 rounded to 5 decimal places?\nAnswer: 0.00497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 5. Let r be -1 + (-6*1 - -3). Let n(u) = 1. Calculate r*n(s) - t(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -696?\nAnswer: -695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**11\/p**5*(p*p**(-1\/2)\/p*p*p)**(-5) assuming p is positive.\nAnswer: p**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r**3 - 26*r**2 + 10*r - 10. Let s(h) = -2*h**3 - 8*h**2 + 3*h - 3. Give 5*k(c) - 16*s(c).\nAnswer: 2*c**3 - 2*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6387 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1808 and -0.063.\nAnswer: -0.0113904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74221, -148440, -222659, -296878, -371097, -445316?\nAnswer: -519535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 564 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 + 21 + -8 + (-21 - 6).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = h - b, 4 = -626*h + 622*h - 5*b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 0*x**6 + 0*x + 1\/525*x**7 + 0 - 2*x**2 + 0*x**4 + 1\/15*x**3 - 1\/75*x**5. Factor p(y).\nAnswer: 2*(y - 1)**2*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-52)\/6*63\/21. Let a = s - -29. Solve 1 = -2*f - a*l, 3*l + 25 = 3*f + f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 13 + 296*c**3 + 0*c**2 - 15 - 1705*c**3 + 3*c**2. Let m be s(-1). Suppose -3*v + 3*t = -m, 3*t - 961 = -3*v + 431. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -11*y. Let m(l) = -l**2 + 2*l + 2. Let i(c) = -4*c**2 + 9*c + 9. Let f(p) = 4*i(p) - 18*m(p). What is k(f(t))?\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 127264 smaller than 127272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 u, and 1 o when four letters picked without replacement from hheohohuocuuuicoeiu.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-2*(3 - 2)). Let m(n) be the first derivative of -n - 2\/3*n**3 + 2 - n**2 + 1\/4*n**4. What is m(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -8296*b**2 + 22240*b - 128. Let r(f) = -395*f**2 + 1059*f - 6. Let m(z) = 3*i(z) - 64*r(z). What is the second derivative of m(w) wrt w?\nAnswer: 784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 5*y + 17, 5*y + 51 = -18*a + 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-2 - 13\/(-7)). Let i = -55234 + 55239. What is the nearest to p in 2\/7, i, 2\/5, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.03, 8, -0.1, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s - 9. Let q(o) = 7*o + 12. Let m be q(-1). Let j be c(m). Solve j - 6 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1715*j = 57*j + 379*j + 96795 for j.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11343 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -14388, 12, -3 in increasing order.\nAnswer: -14388, -3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.172 + 0.228. What is the closest to 0 in o, 3, 1\/26?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 15*z**2 - 60*z - 32. What is the smallest common multiple of 248 and t(-5)?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**3\/3 - 13*w. Let u(l) = 7*l - 3. Let d(r) = -160*r + 68. Let y(x) = -6*d(x) - 136*u(x). What is y(a(g))?\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 460 and 21260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g + 2*g**2)*(-2*g + 2*g - 2*g) + 1060305*g**2 + g**3 - 1059303*g**2 - 3*g**3.\nAnswer: -6*g**3 + 1002*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -26?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -10*j - 7. Let a(y) = -y + 1. Calculate 4*a(q) - d(q).\nAnswer: 6*q + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -106*r - 29*r. Let w(m) be the third derivative of 1\/15*m**5 + r*m + 0 + 1\/60*m**6 + 8*m**2 + 1\/12*m**4 + 0*m**3. Factor w(q).\nAnswer: 2*q*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + 5*z - 2*z)*(195 - 1150 - 794 - 77) to the form q*z + h and give q.\nAnswer: -3652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -535 (base 7) to base 2.\nAnswer: -100001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/9672 and 29\/624.\nAnswer: 19344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1404465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 580890.1ml to litres.\nAnswer: 580.8901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.3 - 7. Let z = 1.5 - 1.3. Let v = p + z. Which is the smallest value? (a) 5 (b) v (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three eighths of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0861 to 3 dps.\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 608\/190*(-3)\/(-12).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3\/7)*b*b\/(b\/(b\/b**(-1))*b*b)*b)\/((b\/(b\/(b*b**(-9)\/b)))\/(b**0*b*b*b)) assuming b is positive.\nAnswer: b**(102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*m - 180. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -24*d**2 - 68*d - 20. Let k(h) = -71*h**2 - 204*h - 61. Let u(f) = 11*c(f) - 4*k(f). Factor u(l).\nAnswer: 4*(l + 3)*(5*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43002224\/16751 + -17970\/7. Do 0 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5.7, 7, 0.1, -8.04?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1064\/49 + (-2)\/(-7). Suppose 4*a + 2 = -2*o, -4*o + 0*o + 5*a = -c. Solve 4*m + 3 = 2*u + 11, 3*u = o*m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 5*o = 15 + 10, -2*v - 3*o = 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in -1, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shsv when four letters picked without replacement from {s: 2, q: 5, h: 1, c: 6, v: 2}.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-14))\/u)\/u**(-1\/8) assuming u is positive.\nAnswer: u**(-111\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/((-7)\/(-2) + (-6)\/4). Let q(c) = 6*c**3 + 1. What is q(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.99 - 0.01. Let v = -5.44 + 2.84. Let n = v - o. Which is the closest to 1? (a) n (b) -1 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25150, -25155, -25150, -25123, -25062, -24955, -24790, -24555?\nAnswer: -24238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**2 + 10*x**2 - 9*x**2 + 55*x**2.\nAnswer: 63*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 57.5 or -458?\nAnswer: 57.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 26570*g - 35298245.\nAnswer: -5*(g + 2657)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 3*s + 29, -7*k + 12*k + 4*s - 8 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(1\/35)*b)\/b*b*b\/(b*((b*b**21\/b*b)\/b)\/b)*b)**6)**(-17) assuming b is positive.\nAnswer: b**(64158\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 - 320 + 765 = 61*h. What is the lowest common multiple of 3085 and h?\nAnswer: 6170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k + 4*k**4 + 111*k - 109*k + 1 + 30*k**2 - 2*k**3 as g*k**4 + y*k**3 + p + q*k**2 + n*k and give q.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 8*r = -3*y - 12, 3*r - y = 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-109 - 5)*-6*7\/(-126). Is -73 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -215\/4 greater than -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 563 minutes before 9:16 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -18. Let a be o\/1 - 0\/9. Let p(r) = 2*r + 4. Let y be p(-3). Sort a, -3, y in decreasing order.\nAnswer: a, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 138 (c) 46 (d) -7.8 (e) -5 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -21 + 8 - 4*h**2 + 7. Let a(p) = 12*p**2 + 17. Determine -6*a(x) - 17*b(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 1:17 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxovxvvxvovvvxxvvvv?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + g + 1116. Calculate the remainder when 143 is divided by (g\/18 + -3)*(-2 - 0).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -65*a + 660. Determine p(-4).\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6920743?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 3*u**2 - u**3)*(5*u + 4*u - 10*u) + u**4 + 3*u**4 - 3*u**4.\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -1240*i - 10955. Determine v(-9).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -127*h - 911. Calculate y(-8).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 181 + -193 + 1562\/(-4)*(-14)\/455.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five halves of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-6)*135\/30. Which is the biggest value? (a) q (b) 0 (c) 12 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**5\/30 + q**4\/3 - 39*q**3 - 586*q**2. Factor t(r).\nAnswer: 2*(r - 9)*(r + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 + 23*m**3 - 20*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 346 divide 17102088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3315 = -8*n + 8035. List the prime factors of n.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1 + -1.1. What is the nearest to 1 in 2\/13, 3, w, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2965712 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w + 5. Let z be x(3). Let b(v) = -5837*v + 21. Let i be b(6). Let f be 4\/2 + z + i. What is f rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: Product of -0.01452 and -13965.\nAnswer: 202.7718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 3)*(-3*y - 29*y - 5 + 18*y).\nAnswer: -98*y - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 12*s**2 - 22*s - 13. What is m(9)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (3 + (-1 - -1 - 1)). Let o be (s - -2) + -3 + 6370006. What is o rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -14 - 61. Suppose -5*p + 642 = q - 3*q, 0 = 2*q + 2. Let n = v + p. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/175)\/(-8)*129\/(-602)*70?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 55*t**2 - 57*t + 138. What is j(54)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1493.5 - -1496.5. Suppose -9*j = 226 - 28. What is the second smallest value in -1\/8, t, j?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20000 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 78. Determine w(-99).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.4 - 0.4. Let p = -483 + 482.6. What is the second biggest value in p, d, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1499 = -671. Suppose -y = -8*k + k. Suppose -5*p = 30 - k. Solve 5*l - p + 10 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-112)\/(-14))\/(252\/27). Solve -10\/7*u**3 + 0*u + 0 + z*u**2 = 0 for u.\nAnswer: 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**4\/24 + 13*k**3\/6 - 7*k**2. Let p be z(11). Let a(t) = -50*t - t + 12*t + p*t. Let d(w) = w. Give a(d(r)).\nAnswer: -37*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(4\/7)*(l*l\/(l*(l\/(l\/(l*(l*l**0)\/l)))\/l)*l)**(-33) assuming l is positive.\nAnswer: l**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*g - 15496 + 2086 = -129*g + 94*g for g.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7930.713 + 7935. Let j = h - 2.3. Let r = 2.07 - j. What is r rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 30*j - 147 = 33*j, 5*s = -2*j + 217. Solve -s*k + 40*k - 20 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 5*r**8\/56 - 8*r**4\/3 + 27*r - 25. Let u(q) be the first derivative of h(q). What is the third derivative of u(t) wrt t?\nAnswer: 600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + -1010?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 0*d + 5*d = 11, -3*d + 9 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(30\/6) + (3 + -1)*2. Solve 3*a = -p*j + 10, 2*a + 5*j - 7 = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-eight fifths of a hour?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 7*h**2 - 2*h - 7. Is z(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -26 + (-3 + 5 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 115 = 2012*l - 2011*l, 33*l + 25*l + 84 = 4*i for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 4*j + 2 = 0, -4*j = 7*b - 4706 + 4728 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 5*f. Suppose 0 = 2*y - 4*q + 14, -2*y - q = -0*y + 9. What is g(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4954531?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -331*k**4\/4 + 23*k**2\/2 + 3*k - 256. Find the second derivative of c(p) wrt p.\nAnswer: -1986*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzz when three letters picked without replacement from {z: 4, r: 4, v: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -635*b**3\/2 - 594*b**2 + 2911*b. Differentiate r(z) wrt z.\nAnswer: -1905","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-75)\/(-6)*(-7224)\/(-215). Let s(q) = -q**3 + 2*q**2 + 3*q - 9. Let k be s(-8). Let i = k - p. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, r: 1, g: 1, z: 6, w: 3}. Give prob of sequence grwi.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -218 + 376. Suppose n = -n - t. Let f = 187 + n. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.9*-74.\nAnswer: 140.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -3. Which is the nearest to -1\/3? (a) i (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 34. Let k be d + 5 + -4 - -14. Suppose 0*o - 53 = -2*o + 5*h, 3*o = -5*h + k. What is the lowest common multiple of 6 and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j = 0. Suppose -2*u = f + 9, 5*u + 45 = 5*f + 15. Which is smaller: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 10:27 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 622*v + 4973. What is w(-7)?\nAnswer: 619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2157391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + 10*c**2 - 3*c + 5*c to q + l*c + w*c**2 and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*d + 230 = -246*d + 2070. Solve 49*q - d*q - 18 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 7*d - 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Suppose -p*y + 41 = u, 3*y - 2*u - 92 = -27. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/11, 11, -0.5, 303, 0 in descending order.\nAnswer: 303, 11, 0, -3\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trrttr. Give prob of sequence rttt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.94859164 to 1 decimal place.\nAnswer: 13.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(4\/9))\/h)\/h**(-20)*(h**(-5\/7))**(10\/3) assuming h is positive.\nAnswer: h**(1138\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -53, -218, -495, -884?\n\"Answer: -56*o**2 + 3*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -666*u - 49. Let b(k) = k - 10. Let y(x) = -5*b(x) + o(x). Let j(f) = 2*f**2. Calculate j(y(q)).\nAnswer: 900482*q**2 - 2684*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v + 12 = -6*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 47 (b) -0.098 (c) -1 (d) -85 (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*t + 4 - 20*t + 34*t - 17*t wrt t.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (441\/(-56))\/21*(-16)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2 - 2*g + 11. Let v be i(10). Let n be 32\/(-48) + 200\/v. Is -1 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8865 - 15379. What is t rounded to the nearest one hundred?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71.9 + -72. What is the fourth smallest value in 0.1, w, -0.5, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/(-68) - 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxux when four letters picked without replacement from xxxauaaxxaxxux?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -5*j - 10, -4*j - 40 = j - 3*l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 62.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 96608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -550421, -550677, -550933, -551189?\n\"Answer: -256*u - 550165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3857189 is divided by 1829.\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 671.66577us to hours.\nAnswer: 0.000000186573825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 373713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 4 (c) 0 (d) -7.9205\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = q + 137, -8*t + 5*t - 4*q + 211 = 0. Is t at most as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 3\/5, -1\/4, 2, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20332 - 12535. Is 113 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2. Suppose 4*k = -k - 10. Calculate the common denominator of 13 and k + h - 6\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 3*f + 141 = 9*b, 94*b - 213 = 5*f + 90*b for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r**2 - 8*r - 11. Determine l(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19395 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2*d - 7*d + 13 = 0, 0 = o - 3*d + 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2711608715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1366*x - 90154. Let p be c(66). Determine z, given that 5\/4*z**3 - 75\/4*z - 5\/2*z**p + 45 = 0.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 7 = r - 22 - 9, 4139 = -r - 10*c + 4219 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 5*g - 4, -13 - 11 = -2*i + 4*g. Solve i*h + 10 = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 20285*s - 40550.\nAnswer: -5*(s + 2)*(s + 4055)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9674.204t in nanograms?\nAnswer: 9674204000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 595546961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*l**3 + 11*l**2 - 11*l**2.\nAnswer: -256*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4)*4*3\/(-27)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16200 (base 13) to base 9\nAnswer: 63646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108744623032 + -1.\nAnswer: 108744623031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 125*x**2 - 150*x - 3185. Let u be r(-124). Which is smaller: u or 525\/13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 99 - 9*j**3 + 35*j**3 + 48.\nAnswer: 26*j**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374447691?\nAnswer: 3, 317, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(-49))\/((8\/(-24))\/1)\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 462 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 5 (b) -4.5 (c) 0 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 46*9\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13547 + -13544. Which is greater: h or 48\/23?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, x: 4, d: 2, a: 4, v: 3, k: 6}. What is prob of sequence hdx?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 7:50 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00018386428 to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - -30210311?\nAnswer: 30210242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 11*n**2 + 38*n + 7. Let h(a) = 7*a**2 + 25*a + 5. Let r(x) = 5*c(x) - 8*h(x). Let s be r(-7). Suppose -s = 2*z - 6*z. Sort 3, 0, z.\nAnswer: 0, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3689022710?\nAnswer: 2, 5, 19, 79, 245771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a146 (base 11) in base 16?\nAnswer: 18bcf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(-2*sqrt(12)) - (sqrt(27) - sqrt(54)\/sqrt(2) - sqrt(3)))**2 - (6*sqrt(12) + sqrt(24)\/(sqrt(8)*2))**2.\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 1781470?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350707 is divided by 11313?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 8\/15*g**7 + 0*g**3 + 0*g**6 - 2*g**2 - 89\/60*g**5 + 0*g**4 - 30 + 0*g. Find the third derivative of l(h) wrt h.\nAnswer: 2688*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61\/355 + 2\/71. Let a = -1.9 - -4.9. Let u be 64\/84 - -2*2\/(-12). Sort a, l, u in descending order.\nAnswer: a, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.05 and 148.\nAnswer: 148.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/3))**42\/(f\/(f*(f\/f**9)\/f)*f**(-3)))**(-49) assuming f is positive.\nAnswer: f**(-392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 378. Let t = x + 377.000391. Round t to 5 decimal places.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f**2 + 5*f + 8. Let z be a(-4). Let d be 2\/(-4)*1*-34. Calculate the highest common factor of z and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 11*b**2 + 10*b + 7. Is y(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2653489851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 - 1521826402 + 1521826402.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p - 392. Let a(f) = -2*f. Give a(h(v)).\nAnswer: 16*v + 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v**3 - v - 1. Let b = -343 - -346. Suppose 0 = z + b*j + 1, -z - 17 = 5*j - 16. Determine s(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/9 and 54\/1505.\nAnswer: 13545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -6. Let k(j) = j - 11. Let v(p) = 6*k(p) - 11*s(p). Let q be v(1). Suppose -34 = -5*r - 4. Solve -q - r = -3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1035861013?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - v + 33 = 0, 9 = -r + 2*v - 3. Let s be (36\/30)\/(r\/(-80)). Suppose -12 = -15*j + 11*j. Solve 0 = -j*f - f + s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrrr when four letters picked without replacement from rzzrrzrrrrzrrzrzzrzz?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 137342 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 11. Let s(k) be the third derivative of -5*k**4\/24 + 4*k**3\/3 - k**2. Let c(g) = -2*g + 3. Give m*s(f) - 8*c(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.3 + -0.7. Let u = 22844 + -22847. Which is the nearest to -2\/7? (a) u (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 - 2 - 67 - 3*q**3 + 11 as j*q**3 + x*q**2 + o*q + f and give f.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*d = -2*b - 2445, 41*b + 4*d = 39*b + 30 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23309, -23286, -23249, -23198?\nAnswer: -23133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-8)*4 + 123. Suppose -4*y = y - z. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1291 - -1239) + 2 + 42?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z**2 - 8*z - 3. Let b be m(2). Solve b*j + 9 = 3*k, 5*j + 12 = 5*k - k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -2*y - g + 2, 14 = 2*y - 2*g. Suppose -3*h + 9 = y. Solve h*q - i = 3*i + 4, 13 = -4*q + i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**3\/6 + t**2\/2 + 2*t. Let z be 11\/(-2)*(-36)\/198. What is o(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqq. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f + 2*f + 3*f + (-3 + 3 + 2*f)*(2 + 0 + 0) + 18 - 18 + 4*f)*(-4*f - 3 + 5*f + 5) to l + b*f**2 + x*f and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-1582)\/(-280) - (-9)\/((-1125)\/(-50))\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 36.46708 kilograms?\nAnswer: 0.03646708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2904 and 46200?\nAnswer: 508200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/2 (b) 31894 (c) 5 (d) 558\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 1, 4*y - 2*m - 131 = -3*m. Let s = -233\/7 + y. What is the closest to -1\/3 in 1, s, 1\/6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n. Let y(s) = -517483*s**2. Give p(y(t)).\nAnswer: 517483*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b**2 + 18*b + 99. What is o(-7)?\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3837 - -3978.93. Let a = -142 + q. Sort a, -1.2, 0.5 in increasing order.\nAnswer: -1.2, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-104)\/40 - (0 + -3). What is the closest to -0.1 in b, -3\/2, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91 and 7?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 3*z**2 + 10*z - 49. Let a be b(4). Solve 0 = -a*f + 5*f + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.942108 rounded to two dps?\nAnswer: 28.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -357302*-5\nAnswer: 1786510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93.9 + 94. Put 4, 0.4, g in decreasing order.\nAnswer: 4, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h - 1. Let x = 14 - -16. Suppose -2*w - 9 = 5*y + 6, 3*y + x = 3*w. Let l be (y - -1)*(-5)\/(-20). What is f(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -6 - 0. Suppose 2*t = 5*f - 9, z*f + 3*t - 24 = f. Let p = 12 - 5. What is the remainder when p is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 + -42. Let v = 38 - z. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/10, 0.17, 3\/11, 5, 0.07, -1\/18, -3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 1865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -732 - -732. Let p(a) = -a**2 - 8*a - 3. Let s be p(-5). Let 0*m**2 + n*m**2 + m**2 + 2*m**2 - s*m = 0. What is m?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 15. Let t = -71 - -68. Let y be c(t). Which is smaller: -21\/2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, n: 1, h: 1, w: 1, y: 2, r: 2}. What is prob of picking 2 r, 1 n, and 1 x?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 123 = 122. Find the first derivative of -3 - 16*m**3 - 19*m**3 + u*m**3 wrt m.\nAnswer: 42*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - (sqrt(152) + sqrt(152) + -2*(sqrt(152) - sqrt(152)*-4) + sqrt(152)))*-5)\/((-5*sqrt(80)*2)\/sqrt(10)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/11 (b) 0.5 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 284*p + 22. Let u(x) = -x**2 - 266*x - 20. Calculate -6*s(j) - 7*u(j).\nAnswer: j**2 + 158*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) - (sqrt(931) + sqrt(931) + -1))**2 + 3 + 0.\nAnswer: -14*sqrt(19) + 935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4586158, -9172316, -13758474, -18344632?\n\"Answer: -4586158*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5630 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 3*h + 10, -2*b + 2*h + 10 = 4*h. Suppose -3*u + 0*u + 9 = 0. Suppose 5 = i + w, -u*w - 3 = i + 2. Solve i + 5 = -b*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 666 - 1353. Let p = 692 + o. Solve -l = 2*l - j - 13, -l + 5*j - p = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 855156 to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -1. Let d = k - -4. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-147)\/(-15))\/((-2499)\/(-595))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 596599?\nAnswer: -59659.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 394 divide 557231048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32 and -129?\nAnswer: 4128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-24)*(h\/h**(-1\/12))\/h)\/(h**13*h**1) assuming h is positive.\nAnswer: h**(-455\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78.493 - 78.3. Let c = h + 0.307. Let a = -0.5 + -10.5. What is the closest to 1\/3 in 0.2, a, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, 11, -3, -87 in increasing order.\nAnswer: -87, -11, -3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 6*u**2 + 4*u. What are the prime factors of m(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**4 + 7201776*l**2*z - 392*l*z - 106119*z wrt l.\nAnswer: 36*l**2 + 14403552*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 93558 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 5*w - 36 - 34, 46 = 4*n - 2*w. What are the prime factors of (-1)\/(24\/(-544)*2\/n)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 9*l - 3. Let s be k(5). Let r = -12 + s. Suppose -5*q = -2*d - 3*d + r, 5*d = -4*q + 30. Solve 0 = o - d + 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 8*p**2 + 11*p + 3. Let g = 23 - 14. Calculate the remainder when l(g) is divided by -1*(-12 - -1*1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 173*j**2 + 55*j**2 + 61*j**4 - 16*j**3 - 1813 - 59*j**4 + 613 - 40*j + 58*j**3.\nAnswer: 2*(j - 2)*(j + 3)*(j + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (660\/1584*-15*(-22)\/41525)\/((-1)\/4)?\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.06533 centuries in decades?\nAnswer: 40.6533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1485 is divided by 65.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5301773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 5*d - 16. Suppose -40 = -4*h + d. Calculate the greatest common divisor of h and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29339759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6380 and 649?\nAnswer: 376420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 88, 121?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*j - 4)*(8842 - 8842 - 21*j).\nAnswer: 42*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2401697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 36. Which is the third biggest value? (a) m (b) -6 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104902 by 59.\nAnswer: 1778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -864\/205?\nAnswer: -864\/205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*v + 3*v - 5*k, 5*v - 4*k = -39. Let s = v + 9. What is the first derivative of -3*u**4 + 7 - s + u**4 wrt u?\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 0, -4*p + 0*b = -3*b - 292. Let s be (-16)\/(-24) + (-32)\/(-6). Suppose 4*y = s*y + 5*i - p, 0 = -y + i + 40. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**2 + 22*l - 8. Let u(g) = 2*g**2 + 7*g - 3. Let f(a) = -8*u(a) + 3*v(a). Let j(c) = c. Let x be j(9). What are the prime factors of f(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45293467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whzhhhmzwhwzhv. What is prob of sequence zhwh?\nAnswer: 45\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1448 - 108?\nAnswer: -1552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1730018 is divided by 370.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by (-1)\/(-1*(-4)\/(-24))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*5 + -11 + 2707 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 204 and 748?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-4))\/(17\/(-6256)). List the prime factors of 9\/42*r - (-4)\/(-7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 58 = 5*g, 3*g - 3*b - 19 = g. Suppose -6*z = 4*z - 20. Suppose 4*k + 5*v = z*v + 86, -2*k = v - 42. What is the lowest common multiple of k and g?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 56 = -9*i, 2936 = -4*i + 4*f + 2992 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(-3) + (10 + 17)\/(-9). Solve 2*z = -2*z + y + 12, 4*y = -v*z + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.8749 + 1.81272. What is v rounded to three dps?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2776?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 200 (b) 2 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 - -61. Solve 0 = 2*b + r + 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (sqrt(5) + (sqrt(60)\/(sqrt(12)*2) - sqrt(5)) - (-5 + (sqrt(15)\/sqrt(3))**2 + sqrt(5)))).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.5 (b) -1\/5 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2. Let z = -31 + 31. Let p(s) be the third derivative of 0*s - 1\/20*s**5 + 2*s**2 + z + 0*s**4 + 0*s**3. Calculate m(p(v)).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -115 divided by 6\nAnswer: -115\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 124, 138, 138, 118, 72, -6?\n\"Answer: -k**3 - k**2 + 24*k + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 + 2*n**2 + 4*n + 1. Is w(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100246 (base 7) to base 14\nAnswer: -625d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -7 + 8 - 6 - 9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 2844345.\nAnswer: 2844344.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3064\/(-24) + (-4)\/(-6). Let h = 277 + j. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11175943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -103331222 (base 4) to base 8\nAnswer: -237552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22394348 is divided by 29583.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1.62, 23, 2052, 2\/11.\nAnswer: 2\/11, 0.2, 1.62, 23, 2052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**5\/20 + v**4\/2 + 5*v**3\/6 + 12*v + 2. Let x(q) = -q**3 - 2*q**2 + 3*q + 1. Let n be x(-2). Determine z(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 26 = 4*d. Let l(s) = s**2 - 9*s - 3. Is l(d) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 - -74683a4?\nAnswer: 74683b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*z + 90 = -28*z. Solve -3*f - u - u = z, 2*f = -4*u - 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 2*g + g)*(-g + g + 3*g)*(-3*g + 6*g - g).\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111 - 95 - 248)*(b**2 + 2*b - 2*b).\nAnswer: -232*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 7*q**5\/120 + 2*q**3 - q**2. Let m(n) be the first derivative of f(n). Let u(a) = -3*a. Determine u(m(k)).\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -807 - -842. Let b(x) = 4*x - 4. Let h be b(3). Solve -v + j = -h*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 847 and 154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5)\/m*m)**(1\/27)\/(m**1)**(-2\/19) assuming m is positive.\nAnswer: m**(308\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 10575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 888?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 6*t**2 + 6*t - 6. Let p be c(-5). Let b = 14 + p. What is the second derivative of 2*w**5 + 0*w**5 + w - b*w**5 - 3*w**5 wrt w?\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4 = -0. Let i be r + 1*(-2 - -4). Suppose 3*u = -i*u + 6. Solve 3*w = -u*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 9. Let f(t) = -t - 1. Let i(u) = 2*f(u) - v(u). Let z(d) = 2*d - 5. Let y(r) = -5*i(r) - 8*z(r). What is the units digit of y(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*i + 11*i - o + 85, -o + 346 = 4*i. Which is smaller: i or 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s. Suppose 0 = 2*y - y - 2. Let k(o) = -2*o**2 + 5*o**2 - y*o**2. What is x(k(l))?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -0.5, 3\/656 in ascending order.\nAnswer: -30, -0.5, 3\/656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, 5, -10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 4*b = 24, -8*t + 31*b + 9*b - 172 = -2*t - 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -461*d - 814. Give z(-2).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6729232879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m - 20. Let p(t) = -t - 7. Let x(l) = -17*p(l) + 6*s(l). Suppose 4*o = 6*o + 6. Let y be x(o). Solve -v - 2*g - 1 = 0, -7*v - g = -y*v - 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 7:21 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/122 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53531335 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 + (-66 - (-9 - 21)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-308)*44\/(-33)*-1.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*y - 3*y**2 - 12*y + 2 + 4*y**2 - 2*y**2 + 24*y + 2*y**3 - 2*y**4 in the form v*y + c*y**4 + n + t*y**3 + a*y**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 + 7.2. Which is the fourth biggest value? (a) 2 (b) y (c) -0.2 (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ill when three letters picked without replacement from {i: 5, h: 2, l: 5}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6)*(48\/(-6) + -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -202023321?\nAnswer: 202023313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 114394987?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h - 28. Let b be s(10). Suppose -332 = -b*g - 5*y, 3*g - 2*y = -3*y + 524. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9752 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 125155324 + 442?\nAnswer: 125200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2\/23 + 3169740*i\/23 = 0 for i.\nAnswer: -1584870, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/39 (b) -1 (c) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 23*v. Let m be c(2). Suppose -y + 6*y + 3*w = 581, 3*y = -w + 347. What is the greatest common factor of y and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2953 - (1 + -2 - -3). Let m(p) = 2*p + 30. Let t be m(-7). Suppose 0 = 5*s - v + t. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s + 17*s - 2*s + (3 - 2 + 1)*(-2*s - 5 + 5))*(0*s + 3*s - s + (-s - 2*s + s)*(-2 + 4 + 1)) to the form m*s**2 + d + q*s and give m.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 27340080 divided by 402060\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7097 - 6614. Sort 2, -2, v.\nAnswer: -2, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 - -26) + (12 - 14) + 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 273775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a week in hours?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*s + 0 - s**3 + 2*s**3 + 0.\nAnswer: s**3 - 22*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ypvpggvbpbbybbbbbby. What is prob of sequence yvy?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 10:26 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*c = -318*c + 157*c + 1104 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -477, -10 in descending order.\nAnswer: 1, 0, -10, -477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 8:10 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 10 - 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 + -50. Suppose 796 = -8*a + o*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1d (base 15) to base 14\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73181446 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -220, 1, 2\/23, -3 in increasing order.\nAnswer: -220, -3, 2\/23, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5}. Give prob of sequence hh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 2:24 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1870 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 33. Let m = v - 10. What is m rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 74119808?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/548 and 113\/10.\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) -5 (b) 3 (c) -3\/40 (d) 0.07 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, 1, -12, -33?\n\"Answer: -4*m**2 + 7*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-3) + 3 - 8. Let r be (-628)\/o - (-1)\/3. Is (-1)\/4 + r\/20 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -305 (base 6) to base 2.\nAnswer: -1110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by -12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0\/1 + -19 + 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 17cb3 (base 15) to base 16\nAnswer: 12d3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145205861 to the nearest integer?\nAnswer: 12050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a + -42483?\nAnswer: -42502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0822351 rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-5) + (-5)\/(-1). What is the third derivative of 4*w**3 - 6*w**3 + g - 3 + w**2 wrt w?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 4) + 1\/(-5). Sort g, 0.4, -3\/5 in decreasing order.\nAnswer: 0.4, g, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 258287?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003305 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -11*m. Let n(o) be the second derivative of 13*o**3\/3 + 88*o. What is k(n(b))?\nAnswer: -286*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 117*q**2 + 555*q - 116. Give v(-5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 0.42, -5, 3\/8, 5?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 25. Suppose -4*o - i + 357 + 133 = 0, u*o + 2*i - 488 = 0. Suppose -39 + o = 6*c. What is the highest common factor of 140 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -11*t**5 - t**2\/2 + 3*t - 90. What is the second derivative of x(v) wrt v?\nAnswer: -660*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 3 in decreasing order.\nAnswer: 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -7*p**2 - 112*p + 26. Calculate a(-16).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from geagagggeegee.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3.014582 millennia?\nAnswer: 3014.582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50631\/8 - -6384. Let u = j - 55. Which is the biggest value? (a) 5 (b) u (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*g. Suppose 98 + g = -2*r. Let t = -27 - r. Calculate the lowest common multiple of 22 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -39, -40, -43, -48?\n\"Answer: -a**2 + 2*a - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 34 + 0)*(-2*c**5 - 3*c**5 + c**5).\nAnswer: 252*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 112*f + 117. Calculate the lowest common multiple of r(-111) and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 5*s - 3*s)*(3 - 7 + 3)*(-3 + 1 + 0 + (-3 - 2 - 4)*(-2 + 1 + 2)).\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 55*o + 45. Let a be i(0). What is the highest common divisor of a and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -521*i**2 + 1100*i + 1254. What is the derivative of w(t) wrt t?\nAnswer: -1042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16813267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**5\/20 + 4*d**4\/3 + 10*d**3\/3 - 59*d**2\/2 + 3131*d. What is b(17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from pppfprrrrpnprl?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**2 - 15*k - 10. Let n be m(-4). Solve n = 2*s + 3*u - 0*u, u - 10 = -3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 5*q + 3. Let x be z(-3). Let p be ((x - -4) + 3*-1)*-1. Suppose p*r - 5*r = -6. Solve 0 = -r*t + 4*t + 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be -7300004 + (0 - 16)\/(-4). What is s rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-396)\/88)\/(1\/(-2))*(-280)\/(-126).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 271, 4, -7, 2, -2, -4 in ascending order.\nAnswer: -7, -4, -2, 2, 4, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-40)*10*2508\/(-264)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/9 + 164\/51. Let i be (-12)\/16 + (-642)\/40. Let z = i - -311\/20. What is the smallest value in 3\/4, n, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-2 - -2 - (-18 - -21))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a4 + 36?\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**8\/84 - i**5\/20 + i**2 - 3. Let q(n) be the second derivative of m(n). Find the third derivative of q(x) wrt x.\nAnswer: 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 252*z + 16. Let r be f(17). Round r to the nearest 100.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -18, -326, -1, 34 in descending order.\nAnswer: 34, 1, -1, -5, -18, -326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**3 + 29*q**3 + 17*q**3 + (-867*q**2 + 484*q**2 + 501*q**2)*(-q + 6*q - 3*q).\nAnswer: 277*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1217 + 963*s - 607 - 611 in the form x*s + u and give x.\nAnswer: 963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 8:03 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79347.81 years to centuries.\nAnswer: 793.4781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -148. What is the common denominator of (a\/(-132) - -2) + (-2)\/11 and -12\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, b: 2, w: 7, m: 2}. Give prob of sequence wmmb.\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 960349675 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 5*b + 5, 2*b + 24 - 28 = -4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 599? (a) 0.5 (b) 2\/17 (c) -306 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2026, -16198, -54660, -129556, -253030, -437226, -694288, -1036360?\nAnswer: -1475586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13047 and 5361.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 737537984?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54 - 8*m + 54)*(-2*m**2 + 1 - 1 - 2*m**3).\nAnswer: 16*m**4 + 16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/1 + 6\/(-3). Suppose 0 = z - u + 91, -z - 3*u - 2*u = 85. Let d be (-16)\/(-18) + 20\/z. Which is the closest to 1? (a) q (b) d (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 1648704.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 5 - -2) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6342902 - 0.\nAnswer: -0.6342902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4909, 6786, 9943, 14386, 20121, 27154, 35491?\nAnswer: 45138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**3 + 2*s**2 + 2*s - 4. Let y be n(2). Suppose 4*f + y = 3*u, -3*f + 11 = 3*u - 16. What is the remainder when 82 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -51*u**2 - 869*u - 51. What is w(-17)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-8\/3))**(5\/2)*u**(-30)*u*u\/(u*u\/u**(-4\/7))*u)**(-32\/5) assuming u is positive.\nAnswer: u**(24352\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2089*c**3 - 697*c**3 - 698*c**3 - 704*c**3.\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4056 and 39864?\nAnswer: 6737016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.4 - -6.61. Which is the biggest value? (a) u (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6847 + 18927 = 10*h. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2\/891 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 3010?\nAnswer: -3009.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1540 and 805301420?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4152 and 64392?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 110468 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000132 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = 2*g + 2*u + u, -u = 4*g - 299. What is the remainder when 235 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -209*p + 154. What is the units digit of h(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 136*p + 1087. Let z be o(-8). Sort 5, z, -3173, 2 in descending order.\nAnswer: 5, 2, z, -3173","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + k - 170 = 331, -4*x = 3*k - 403. Let r be (48\/(-5))\/((-1)\/20). Let a = r - x. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.04, -1, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*n - 22 = -g, -4*n - 6 = 2*g. Let r be ((-66)\/(-14) - g) + 128\/7. Which is greater: 19 or r?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - -35?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 6510?\nAnswer: 6510.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -43*h + 47*h, -20 = 3*y + h. Which is the fifth biggest value? (a) -1\/2 (b) 7 (c) -11 (d) -4 (e) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596471939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -30, 10, 50?\n\"Answer: 40*u - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - -283?\nAnswer: 27b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 9:26 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9879*l**3 - 3888*l**3 - 7 + 1 + 6.\nAnswer: 5991*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-22) - 2618\/2541. Let a = -0.34 + -0.06. Sort a, -1, z in increasing order.\nAnswer: -1, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**3\/6 + 33*i**2\/2 + 5*i. Let l(x) = -x + 22. Let z(g) = 7*l(g) - 5*p(g). List the prime factors of z(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r - 10. Let t = 5483\/2 + -2741. Let u(i) be the second derivative of 7*i + 0 - t*i**2 - 1\/6*i**3. Determine -6*u(o) + z(o).\nAnswer: -2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -158*z**2 + 327*z**2 - 163*z**2 + 3 in the form q*z + t*z**2 + y and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 19\/6*f**3 - 15\/2*f**2 + 19*f + 0. Does 44 divide m(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*h - 3*h - 73*h to w + z*h and give z.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1389? (a) -0.5 (b) -0.26 (c) -0.16 (d) -4 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i + 9. Let v(f) = -f**2 - 12*f - 14. Let h be v(-10). Give k(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 105.\nAnswer: -1, 3, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.79 - 4.75. What is the second smallest value in 0.16, t, 5?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502768?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 - -0.03. Sort 1, -3\/2, o in increasing order.\nAnswer: -3\/2, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/(-64) - (-519)\/(-2). Let d = u + 262. Factor -33\/4*m - 4*m**3 - 10*m**2 - d.\nAnswer: -(m + 1)*(4*m + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/(a*a**19)))**(-3\/38)*(((a\/((a*(a\/(a*a*a\/(a*a**(1\/7))))\/a)\/a))\/a)\/a)\/(a**(1\/29)\/a) assuming a is positive.\nAnswer: a**(131\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10590120 divided by 1323765?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 485522 and 1116.\nAnswer: 8739396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(3 + 0 - 4)*((-6*i + 6*i - 7*i**2)*(1 - 1 + 2*i) - 2*i**3 - i + i).\nAnswer: -32*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p = -69*p + 35206. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29680795942 - 29680795942 - 6*j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v**4 - 21*v**3 + 9*v**2 + 24*v - 12 = 0 for v.\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0 + 2 - 4 + 3 + (5 - 2 - 2)*(2 - 5 + 1) + 3 - 1 - 1)*(4*m**3 - 3 + 3).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Let o be ((-5)\/25*-5)\/1. Is y smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14369498, 14369530, 14369562, 14369594, 14369626?\nAnswer: 14369658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/28*6 + (360\/70 - -9).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5590 and 6630?\nAnswer: 285090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -17*n**3 - 2*n**2 - 3*n - 2. Suppose 4*r = 4 - 8. Let d be c(r). What is the highest common factor of d and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*u + 3 = 33*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - b - 49. Let c be j(-18). Let p = -133 + c. Is p a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.1 + -10. Let l = m - 0. Let g = -7 - -3. Which is the closest to 1? (a) -2 (b) g (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 158293?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*x - 1642 + 2182 = 0 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 28 = 5*m. Calculate the lowest common multiple of m and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 + 64. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*m + 34*m = -13*m. Let l be (-1 - -3) + (-26)\/22. Which is smaller: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3785, 15166, 34179, 60860, 95245, 137370, 187271, 244984?\nAnswer: 310545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2950552 a multiple of 4568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*k**2*t**5 + 3*k**2*t + k*t + 3*t**5 wrt t?\nAnswer: -540*k**2*t**3 + 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2*(sqrt(24) + sqrt(48)\/sqrt(2)) + sqrt(24) - sqrt(24))*-4)\/(-3*(sqrt(12) - sqrt(36)\/sqrt(108))).\nAnswer: -32*sqrt(2)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 3*i + 24 = -11*v, 0 = -2*v - i - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 3:41 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + w - 28, 5*b + w = 69 - 5. Suppose 3*h = -5*i + 16, -4*i + b = 4*h - 2*h. Suppose -i*s = -s - 10. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**3 + n**2 + 2*n - 1. Let d(m) = -19*m**3 + 5*m**2 - 74*m + 73. Let y(c) = 2*d(c) + 18*z(c). Find o such that y(o) = 0.\nAnswer: 2, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, -44, 9\/118, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 3*p**2 - 2*p + 1. Let t be j(-3). Suppose -3*r + t = 1. Let y = -120.62 + 120.22. Sort 3, r, -2\/7, y in descending order.\nAnswer: 3, r, -2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 11101011100?\nAnswer: -11101010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11527199 is divided by 281.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -10, -5, -3736, -36 in descending order.\nAnswer: 0, -4, -5, -10, -36, -3736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -8*q. Let n be (-18)\/(-2) + (-89 - -83). Determine v(n).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 3 (c) -3 (d) 0 (e) -26 (f) -643\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.004 - -74.996. Let x = -76.47 - -1.47. Let r = x + u. Which is the closest to -3\/11? (a) r (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-6) - 4\/(-6). Let m be -2*(-1)\/(-2)*1. Let q(l) = -2*l**3 - 2*l**2 + 3*l + 3. Let j be q(-2). Sort j, m, p in increasing order.\nAnswer: m, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -4, -6 in increasing order.\nAnswer: -6, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1589 - 1585. What is the second smallest value in w, -1\/2, -0.009, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 7*d = -3*d + 110, -2*q + 4*d + 20 = 0. Solve 5*p = 3*c + q, 5*c - c - 4 = -2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 12*t**2 + 10*t - 110. Let z(l) = l**2 + l - 11. Let q(m) = 4*s(m) - 40*z(m). Let r(h) = -5*h - 1 + 1. Determine r(q(n)).\nAnswer: -40*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80 or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n**3 + n**3 + 3*n**3)*(0*n + 2*n - 4*n + (n + 3*n - 2*n)*(-2 - 1 + 1)).\nAnswer: 18*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**3\/3 + 2*d**2 + d - 13. Let a be w(3). Let z = -0.94 + -0.06. What is the closest to z in 0.1, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 5*v**2 + 3*v + 1. Let g be z(4). Which is the smallest value? (a) g (b) -2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 - -7 - (-12)\/(3\/1). Suppose -5*z - k*m + 1854 = -3*z, 0 = -z - 4*m + 929. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 343744*n**4 + 7*n + 15642378 wrt n?\nAnswer: 1374976*n**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 - -50. Factor -7*s - 3*s + 9*s**2 - 11*s - l.\nAnswer: 3*(s - 3)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9580 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3148.\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 + 4*j**2 - j**2 + 52*j**3 - 57*j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -5. Let x be z + 8 - (6 - 4). Suppose -47 = -x*h - 7. Round h to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -46*y**2 - 6712*y - 13238. Give r(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28386 by -3.\nAnswer: 9462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -354 - 5?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*a**3*m**3*x - 2*a**3*m*x**2 - 3*a**2*m**3*x - 2*a**2*m + 2*a**2*x**2 + 3*m**3 wrt a.\nAnswer: 30*m**3*x - 12*m*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 5:21 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257679*o - 259736*o = 213928 for o.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 296298 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-45) - -34*(-3)\/(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 24 = 6*i - 2*i, 3*i + 40 = -4*n. Which is the biggest value? (a) -2 (b) -20 (c) n (d) 23 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2306 and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1*(-4 + sqrt(567)))**2 + sqrt(567))*5 + 0.\nAnswer: -8745 + 945*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 3. Let g be h*(0 - 0) + 0. Find n such that -n**4 + g*n**4 - n**4 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4 (b) 5 (c) -4\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7291228 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) -1.481 (c) -4\/9 (d) -1 (e) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 4*j - 4. Let a be (-10)\/(-45) + (j - 80488\/(-36)). Round a to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 1. Let c(d) = 8*d - 8. Let i(m) = -c(m) - 5*n(m). Let p(a) = a. Let b(l) = i(l) + 4*p(l). What are the prime factors of b(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.2 (b) -2\/17 (c) 1\/10 (d) -2\/9 (e) -3 (f) 279\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 1 - 14 - 3*i**2 - 12357*i - 1.\nAnswer: -3*i**2 - 12357*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*y + 6, -2*q = -3*y - 78. Let w = 19 + -13. Suppose w*k - 60 = k. What is the greatest common divisor of q and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (-225)\/(-3) + -2. Let y = 156 - q. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 4:51 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d - 12. What is the remainder when (97*(-68)\/(-6596))\/((-2)\/(-676)*1) is divided by t(8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18950 + -18953. Let a(s) = -12*s - 30. What is a(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 + 18*m + 60 - 37 to h + k*m and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -620 + 2167. Let d = 844 + y. Let g = 279 + d. Round g to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/(1*sqrt(112)))\/(1*sqrt(1331) - sqrt(11) - (sqrt(11) + sqrt(44)*2)).\nAnswer: sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**3 + n**2 + 9*n - 10. Let k be s(1). Solve c = -5*i + 2*i - 5, 0 = -5*i + c + k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 17*r. Let z(t) = 4*t. Determine 2*u(o) - 9*z(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*c - 17. Let a(h) = -h + 1. Calculate the remainder when a(c) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lswqj. Give prob of sequence ls.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37790947?\nAnswer: 37790947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 c, and 1 s when three letters picked without replacement from yosxfcx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*v - 6. Suppose 0 = -v*z - 2*f + 8, 4*z - 21 = -5*f - 4. Suppose g - 4*g + 6 = 0. Solve z*r + 2*r = -g*o + 10, 4*o + 8 = 4*r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/6*(-1 - 2). Let z = -25 - -39. Solve -2*q = -o + z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7961 is divided by 796.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -632*w - 139*w = -24*w + 47808 for w.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -1096*h**2 + 28500*h + 51. Calculate f(26).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-41))**(-10\/7) assuming w is positive.\nAnswer: w**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -17*s**2 - 2950*s + 15171. Give x(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 + a**2 - 5*a**2 + (2*a**2 + 2*a**2 - 2*a**2)*(-4 + 4 + 3))*(3*a + 8*a + 8*a).\nAnswer: 95*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/130*(-5)\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-9 + 10 - 11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h - 39. Give s(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.04 - 27.04. What is the nearest to -1 in h, 7.25, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k. Let r(p) be the third derivative of 23*p**5\/120 + 49*p**3\/2 - 2*p**2 - 61. Let m(f) be the first derivative of r(f). Determine a(m(q)).\nAnswer: -23*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -199 - -492. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n + 7787 - 3112 = 0. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2743717*c + 18200 = 2743367*c for c.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g - g)*(-5*g**2 + 2*g**2 + 4*g**2) + (-5 + 5 - 2*g + (-2 - 2 + 6)*(-3*g + 4*g - 4*g))*(7*g**2 - 3*g**2 - 2*g**2).\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 167*c**2 - 877 + 881 - 3*c + 3*c. Is u(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -31\/5, 7, -5?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i. Let b be (4\/6)\/(2\/(-9)). What is y(b)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 4. Suppose 3*a = -f*o + 20, -o + 7 = a + 1. What is the highest common divisor of o and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3078\/1197*(-140)\/(-12).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1040)\/5460*30\/(-4). What is the nearest to -3 in a, 4\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 64*i - 52*i - 42*i. Let h(b) = 2*b**2. Calculate s(h(z)).\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 6*y**2 + 2*y + 9. What is the remainder when 83 is divided by j(6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389 = -4*h + 1205. Is 36 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -17. Which is greater: 2\/727 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-4)*(-21)\/105. Which is the nearest to -0.1? (a) -3 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -2*v**2 + 32. Let n(s) be the second derivative of s**3 + 16*s - 1. Give m(n(b)).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19965 is divided by 9900?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522745 = -36655*f + 423942 + 1198453 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 7*z = -15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -21447*m**2 - 2*m - 21446*m**2 + 42894*m**2 - 219 in the form s*m**2 + b + w*m and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(1\/((-9)\/(-12)))*516\/387.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (110\/7 - 0) + (-2)\/(-7). Suppose 0 = -3*k - k + 148. Suppose -4*q = q - 15, k = 5*u + 4*q. Solve -u*n = -n - f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - h + 35. Determine d(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((6 - 2) + (4 - 7))*(-252)\/5824*16\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(-4*sqrt(5)) + 0 + -4 + sqrt(17))**2 + 3 + (sqrt(85)\/sqrt(5)*5 + sqrt(17))*1.\nAnswer: 457\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8475*k - 1862 + 101168 = 3384*k + 3865*k for k.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*b - 157*b = 96 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, t: 10}. Give prob of picking 2 t and 1 r.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12146 + 12145.7. Put 4\/7, y, -0.041, 0.04, 1 in decreasing order.\nAnswer: 1, 4\/7, 0.04, -0.041, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v. Suppose 4 - 12 = -4*g. Let m be h(g). Suppose -b + 2080 = 5*n, -829 = -2*n + m*b - 5*b. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 798 and 228.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -8685.075.\nAnswer: -8688.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 925866*j + 3*j**2 - j**2 + 1316676*j.\nAnswer: 2*j**2 + 2242542*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - j**2 - 4*j - 3. Let w be s(-3). Suppose -7*p = -0*p + 35. Let z be (-2)\/p + (-8)\/(-5). Solve -i + 5*l = w, 5*i + z*l - 7*l = -35 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {p: 3, l: 7}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2472, 2466, 2460, 2454, 2448?\n\"Answer: -6*t + 2478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 13 + 11. Suppose -5*z + x*z = 6. Let r(o) = -o**3 - 35*o**2 - 63*o + 113. Calculate the smallest common multiple of z and r(-33).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(((-5)\/10)\/1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -2. Suppose t*r = -0*r + 30. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1199239 = -37176416\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132 + -129. Suppose -j*g - 4 - 2 = -3*p, -p = -2*g. Suppose -6*h**g + 0*h**2 + h**4 - 87*h**3 + 92*h**3 = 0. What is h?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.8834361 to three decimal places.\nAnswer: 34.883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 + 16*n - 68. Determine s(-10).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 456?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -45*w. Let m(c) be the first derivative of -c**3 - 426. Give b(m(x)).\nAnswer: 135*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 - 7*h + 6. Let s = 0 + 6. Let l be p(s). Suppose 7*r - l = 3*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**4 + 36*r**3 + 4*r**2 - 324*r + 288 = 0.\nAnswer: -3, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*q + q = -15, 0 = -8*d - 2*q + 24 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 12220111100?\nAnswer: 12220111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1940773\/363 or 5347?\nAnswer: 1940773\/363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/35 (b) -4 (c) 6\/13 (d) 2 (e) -1 (f) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*i = 292 + 51, 3*x + i - 1014 = 0. Calculate the remainder when x is divided by 3\/5 + ((-5334)\/(-35))\/6.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from taaatcaaaaccac. Give prob of sequence tc.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -195 + 577\/3. Let w = 600\/7 - 86. Which is the third smallest value? (a) w (b) x (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.966291 rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**6\/120 + r**5\/120 - 2*r**3\/3 - 4. Let j(q) be the third derivative of c(q). Find the second derivative of j(d) wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 8 - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-89)\/12*306\/(-2856) - 36\/42?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/((-40)\/(-315))*2. Suppose 3*k - 2*k - t = 0. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d - 10*d - 3 + 5*d.\nAnswer: -14*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**0)\/o*o**1)**(-10)\/(((o**3*o)\/o**(2\/11))\/(o**(-1))**(-2\/3)) assuming o is positive.\nAnswer: o**(-434\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 6, x: 3, e: 4}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 2:01 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 * 229.\nAnswer: 4809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1977\/5 or 396?\nAnswer: 1977\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 5\/2*u**2 + 0 + 4*u + 2\/3*u**3. Let k(n) = n + 1. Determine 5*k(q) - m(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 596 = 5*v - 3*i, v = 3*v - 3*i - 233. What is the least common multiple of 14 and (v\/44)\/((-2)\/(-48))?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 4, 3, -0.018, -12 in decreasing order.\nAnswer: 4, 3, 2\/7, -0.018, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*t + 31 = -204 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64.99 + 95.\nAnswer: 159.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-126303 + 2 + -1). Let m = 20966053\/166 - g. Let o = m - 2\/83. Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n**4 - 8*n**4 + 2*n**4 + (n**2 - 2*n**2 - 3*n**2)*(-6*n**2 + 3*n**2 + n**2) + (3 + 2*n - 3)*(-5*n**3 - 2*n**3 + 5*n**3))*(-5*n + 4*n + 3*n).\nAnswer: -20*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 4*d. Let c be y(3). Let l(p) = p**2 - 13*p + 36. Let v be l(9). Put 1, c, v in descending order.\nAnswer: c, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(468) + -2*sqrt(468)) - (sqrt(52)\/sqrt(16) - sqrt(156)\/(sqrt(24)\/sqrt(2))).\nAnswer: -11*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000244913406 to 7 decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 505*u**2 + 2*u. Let t(z) = 1516*z**2 + 7*z. Determine -7*d(s) + 2*t(s).\nAnswer: -503*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 67665 (base 8) in base 3?\nAnswer: 1110020011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.28 + -0.02. Let y = -1.3 - k. Suppose -2*w + 2 = 0, 2*w = 3*j + 6 + 2. Which is the second smallest value? (a) j (b) 4\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/5, 3\/4, 4, 3.4, -0.045, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5716361311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26.9 - -27. What is the biggest value in -0.4, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 45*z + 361. Let t be k(-8). What is the nearest to 1 in -5, 23, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 55750 = -f + 874, -f = -4. Let w = -518\/40399 + -10062773519\/888778. Let d = w - v. Calculate the common denominator of 17\/14 and d.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 914\/10 + 2\/(-5). Suppose 5*l - g = 14. Calculate the remainder when l is divided by 45652\/4068 - (20\/25)\/((-36)\/(-10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1839)\/(-9808)*(-480)\/(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3340515 (base 6) in base 15?\nAnswer: 34e9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59 - 70) + 178\/16?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -21696*x + 44588. Determine l(2).\nAnswer: 1196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 536*l**3 + 544*l**3 + 538*l**3 - 1609*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o*z - 1386*o - 57510*z**2 wrt z?\nAnswer: o - 115020*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, v: 10, p: 1}. Give prob of sequence nvnp.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 363585504 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 24 = 0, 21*v = 19*v + 2*p - 6. Factor 2\/3*w - 1\/2*w**v + 1\/6*w**4 + 0*w**2 + 0.\nAnswer: w*(w - 2)**2*(w + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 20*r - 48. Let h(s) = 5*s - 12. What is 2*a(q) - 9*h(q)?\nAnswer: -5*q + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*b + 5*r, -5*r - 15 = -0*b - b. Let o be 8\/22*154\/28. Suppose -2*a = o*w - 2, -6 + 0 = -b*w - 4*a. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 3*x = 7, x - 2*x = -4*i - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 674, 1363, 2052, 2741?\n\"Answer: 689*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 11 - 23 - -27\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (37 + (4 - 7))*1. Suppose f = 6*z - 74. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*m = -23*m - 80 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3.7 - 895009647580\nAnswer: -895009647583.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -38 - (-2 + 16 - (40 - 20)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -533 + 504. Does -88\/3 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 15*a**2 + a - 10. Let k be p(15). Suppose k*t = t + 8. What is the third derivative of 11*v**4 - 2*v**4 + 8*v**t - 14*v**2 wrt v?\nAnswer: 216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 4, 83, 0.04, 2 in ascending order.\nAnswer: 0.04, 1\/6, 2, 4, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6770, -6772, -6776, -6782?\nAnswer: -6790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2 - 4*p - 2. Let z be b(6). Let i = z - 22. Let n be 0 + (3 - 0)*5. Calculate the greatest common divisor of i and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 5 (b) -0.01 (c) 58\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 22 times 3519\nAnswer: 77418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 - 5*j**3 - 2*j**3)*(31*j - 12*j + 21*j - 9*j + 38*j).\nAnswer: -483*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (26\/(-3 + 28\/8))\/1. Find the common denominator of -12 and (f\/8)\/((-27)\/(-10) + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**5\/5 + 18*f**4\/5 + 28*f**3\/5.\nAnswer: 2*f**3*(f + 2)*(f + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24587272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n**4 - 69*n**2 - 71*n**2 - 6 - 4*n**3 + 140*n**2 in the form v*n + f + l*n**3 + r*n**2 + d*n**4 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/5, -2\/111, -0.4, 27546?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316631 is divided by 10916.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 0*u**3 - u**3 + 15 + (-u**2 + u**3 + u**2)*(0 - 1 + 0).\nAnswer: -2*u**3 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7508038 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 632528?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/8)\/((-6)\/(-16)). Suppose -h - 4*a - 4 = 0, h = p*h + a + 1. Suppose h = x - 6*x + 40. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7*m*m**(-5)*m**(-4\/7)\/m*m**(2\/9))\/((m*(m\/(m**(-7)*m))\/m*m*m\/(m**(1\/9)\/m)*m)\/(m**(-6)*m\/m**(3\/8))) assuming m is positive.\nAnswer: m**(-2455\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**5 - 2*i**4 - 30*i**3 + 18*i**2 + 108*i = 0. What is i?\nAnswer: -3, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwjjwjwrqrwuw. Give prob of sequence jqwj.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2045 = -52*i - 485. Calculate the lowest common multiple of i and 2109.\nAnswer: 21090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 25235, 25234, 25233, 25232, 25231, 25230?\n\"Answer: -q + 25236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*g + 36 = 11*g + 40*g. Solve 9 = -2*u - g*y, 3*y + 9 = 5*u - 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-2847)\/(-221) - (11940\/85)\/4\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006571271 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 189 - 182. Which is the third biggest value? (a) j (b) -0.3 (c) -1\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 387032 and 1437.\nAnswer: 1161096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -1023136065?\nAnswer: -1023136064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*v - 1147 + 1932 = -3895. Calculate the remainder when 319 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 371918 = -371937 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -367, -543, -355, 377, 1833, 4193, 7637, 12345?\n\"Answer: 30*n**3 + 2*n**2 - 392*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2) + (-18)\/4. Which is the smallest value? (a) -3 (b) 0.01 (c) 2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvuu when four letters picked without replacement from {v: 7, u: 7}.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g**3 - 11*g**2 + 135*g. Let o(u) = u**3 + 4*u**2 - 45*u. Let h(l) = -11*o(l) - 4*w(l). Factor h(n).\nAnswer: 5*n*(n - 3)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-3))\/(12\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**3\/3 - y**2 + 2*y - 24. Let g be x(0). Solve -4*a**2 + 0*a**g - 44 + 50 - a - a**3 = 0 for a.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 59 + 37. Let z(x) = -12*x**2 - 148. Let q be z(m). Round q to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2352229 by 5.\nAnswer: 2352229\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 3*g - 291 = 0, -5*x + 0*x - 5*g - 471 + 156 = 0 for x.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 15627 = -5*h, -p + 2275 = -h - 5537. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 1. Solve 0 = d*v - 0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*t**2 + 72*t**2 - 38*t**2 + 8*t + 4*t.\nAnswer: -t**2 + 12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-106)\/212*(-154)\/(-57). Which is smaller: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6 = -o, 0*i - i = -2*o + 3. Let k(n) = 9*n**2 + n - 7. Let d be k(i). Let s = d - 23. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12263 - 406?\nAnswer: 11554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 12 = -2*q, 0 = 5*t + 5*q - 35. Let r be 5\/((-100)\/(-44)) - 32\/160 - -2. Solve -r*m - 3*v + 26 = 5, t*m + 4*v = 24 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a + 2*a - 3*a + 38*a**2 + a.\nAnswer: 38*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, q: 1, a: 3, y: 1}. Give prob of sequence oy.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473268003 is divided by 1855?\nAnswer: 1853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4368 or -43679\/10?\nAnswer: -4368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50548*v*w**3 - 5*v*w + 21*w**3 + 16003*w wrt w.\nAnswer: 303288*v*w + 126*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14424*v - 33602 = 15058*v for v.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**2. Let i(x) = -9 + 0 + 3*x + 9. Determine i(p(s)).\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 93*p**6 + 6194*p**4 - p**2 - 3654103*p.\nAnswer: 11160*p**3 + 148656*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20615480417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -2*v**5\/5 + 3*v**4 - 6*v**3 - 40. Factor f(y).\nAnswer: -2*y**2*(y - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 132.561435 to 0 decimal places.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3.738, -0.5, -7, -0.03.\nAnswer: -7, -3.738, -0.5, -0.03, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j**2 - j - 1. Let p be ((-9)\/(-15))\/((-1)\/5). Let o be (3\/p)\/(3\/3). What is c(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 6*x + 1. Let a be i(7). Let u = 13 - a. Suppose -u*q - 3*j + 41 = 0, q + j + 33 = 6*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/1744 and 182\/144 + -1 - (-234)\/2106?\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -43. Let x = 3.7 + -0.7. Let q = x + 0. Which is the closest to -1? (a) q (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = p - 6, -q = 4*p - 2*p - 2. Suppose -q*l = f - 6*l - 22517, -5*f = l - 112480. Suppose y = t - 5618, -4*t + y - 2*y + f = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4513551?\nAnswer: 3, 7, 17, 47, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2. Let l(c) = -c + 3. Let u(t) = t - 5. Let i(n) = -5*l(n) - 3*u(n). Determine i(k(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1000100000011100111 (base 2) to base 12\nAnswer: 11539b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -0.1975419565?\nAnswer: -6.8024580435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 8. Let r be p(0). Suppose r*y = 3*y + 80. Suppose 3*d = 35 + y. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3070.34 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6573 and 456780.\nAnswer: 1000804980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + 1 + sqrt(72) + (sqrt(72) - (-1 + sqrt(72) + (sqrt(72) - (sqrt(72) + sqrt(72)*1)))))**2*-4*3.\nAnswer: -3564 + 864*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -82 + 18 - 4 - 4*o as g*o + b and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 420 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*b - 1865 + 5516, 0 = 3*i + b - 3651. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 2:49 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 - 59. Let j = 811 + d. Is j a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 36 = -2*m, 503022*p + 3*m = 503021*p - m - 62 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 316841311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176 and 1871364?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/4*(-488)\/(-366).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/3*(-11)\/(-22). Let l be ((-1)\/(-3))\/(1\/15). Which is the closest to 2? (a) -1\/8 (b) k (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, z: 1, x: 1, k: 5, a: 4, q: 4}. What is prob of picking 1 k, 1 x, and 2 i?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 51597\/99 - ((-4)\/11)\/(-2). Let j = 1598\/3 - z. Find the common denominator of j and -67\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 14, 40, 76, 122, 178, 244?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2 = 3226*k - 3224*k, 0 = 2*k - 2*h + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47557506 less than 85.9?\nAnswer: -47557420.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 84204207 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4863931 millimeters to kilometers.\nAnswer: 0.0000004863931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -34*s + 222. Let t be w(6). Let y be 18\/15 + t\/(-90). Solve 0 = -4*a + 5*a + y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(-26)*(-89)\/(-6) and 27\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytty when four letters picked without replacement from tyty?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66077028*b**3*h**2 - 106409136*b**2*h + h**2 wrt b?\nAnswer: 396462168*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 729 and 66177.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3\/4 - 873*k**2\/4 + 84681*k\/4 - 2738019\/4.\nAnswer: 3*(k - 97)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6238 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 326949733.\nAnswer: 326949729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*c**2 - 532*c**3 + 49*c**2 + 58*c**2 - 158*c**2.\nAnswer: -532*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 23*t = 6*t. Let w(p) be the third derivative of t*p - 1\/150*p**5 - 1\/900*p**6 + 0*p**4 - 23*p**2 + 0 + 0*p**3. Factor w(i).\nAnswer: -2*i**2*(i + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/19095 and -83\/192558.\nAnswer: 18293010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 164, 5, -8, 10 in increasing order.\nAnswer: -8, 5, 10, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0128714298 rounded to 4 decimal places?\nAnswer: 0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.79 + -0.21. What is the nearest to 0 in -0.4, q, 2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25146 and 121?\nAnswer: 276606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11913 and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877805155 is divided by 6677.\nAnswer: 6673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 6. Let a(f) = d*f + 1 - 2 - 12*f. Let t(r) = r**2 + 23*r + 1. Let w be t(-23). Determine a(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-10))\/(12*(-6)\/(-96))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (1 - (-45)\/2) + (-45)\/(-90)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**7\/14 - 41*x**6\/24 - 17*x**5\/12 + 205*x**4\/24 + 35*x**3\/3 + 6*x**2 + x + 8. Let s(y) = 0. What is y?\nAnswer: -1, -1\/3, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/14 + 3252\/14.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/253133 or -1?\nAnswer: -13\/253133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12368 and 59664442671.\nAnswer: 59664430303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/23235072 and -17\/144?\nAnswer: 69705216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -157140 by 810.\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-375)*-20*(-2)\/(152\/(-10))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12 - -13)\/((-93)\/45 - -2). Which is smaller: y or -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -139*r**3 + 198*r**2 - 17*r - 3. What is b(1)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113 - 60. Calculate the least common multiple of o and 1.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 0 - (-1 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v - 3*v**2 + 3*v)*(-23 + 23 + 19*v**2) to the form x*v**3 + c + u*v + k*v**2 + f*v**4 and give f.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + n. Let d be o(1). Suppose 48 = -0*p + d*p. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**4\/5 - 276*w**3\/5 + 4893*w**2\/5 + 276*w\/5 - 4896\/5 = 0.\nAnswer: -1, 1, 24, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7503 = -4*i + 5*b + 9200, 2*i - b - 8353 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -4 - (6 - 1)) + 7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25634720 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 18427 = 2*u, 3*u - 12567 = 2*t + 15075. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.122 (b) 25.42 (c) -0.1 (d) -1\/3 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 3*g**2 + 2*g - 7. Let k be 20*(-1)\/16*-4. Let s be c(k). Let a = s - -54. Solve -4*f - 4 = 0, 3*f = -3*x + a*x + 17 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 b when three letters picked without replacement from {w: 8, b: 2}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, n: 1, j: 3}. What is prob of sequence nnjj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (618*x**3 - 106*x**3 + 2722*x**3 + 3526*x**3 - 1504*x**3)*(-6*x + 3*x + x).\nAnswer: -10512*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -11306\/29 >= -390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3 + 63 = 5*w, 5*f = 4*w - 7. Let s(q) be the second derivative of q**3\/2 - q**2 - 5*q. Let v be s(2). Solve 12 + w = v*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*u - 8 + 1\/2*u**2.\nAnswer: (u - 4)*(u + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o**2. Let f(a) be the second derivative of -21\/2*a**2 + 3*a + 1\/4*a**4 + 0 + 0*a**3. Let m(h) be the first derivative of f(h). Give q(m(l)).\nAnswer: -252*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17)\/153*(-1 - (27\/(-6))\/(-9)). Let p(x) be the second derivative of -o*x**3 + 2*x**2 - 18*x + 0. Give p(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86397)\/(-3716)*12\/(-9)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -612, 2\/9, -0.3, 14, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1003 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8841127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.75 + -0.79. What is the nearest to b in 0.5, -0.5, 6, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/593413 - 402927487\/17802390. Let f = 119\/5 + d. What is the common denominator of (-11)\/(-12) + (-2)\/(-6) and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*p = 234 - 228, 5*y = -p + 10. Suppose 0 = 2*q - 2 - 0. Let x be ((-14)\/(-4) - q)*2. Which is smaller: x or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*y + 3*f, 81*y - 2*f = 85*y - 24. Let p(a) be the first derivative of -21\/20*a**4 + 0*a - 24\/25*a**5 - 36 + 0*a**y + 1\/5*a**3. Factor p(o).\nAnswer: -3*o**2*(o + 1)*(8*o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6)\/i**(2\/3)*((i*i**1)\/i)**(-4\/5))\/((i**(-1\/4)*i)**(2\/11)*((i*i*i\/(i\/(i**(-1\/3)*i))*i*i*i*i)\/i)**(3\/2)) assuming i is positive.\nAnswer: i**(-2657\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i - 351 - 155 = 0. Calculate the remainder when 1286 is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - 22?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 7, 1, 0.11, 0.08, -3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146653*r + 281836*r + 34881*r.\nAnswer: 463370*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.7 - -4.7. What is the nearest to -1 in -1, x, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -34, 5, -5, -2\/11?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l = -0*l. Solve t + p - 2 - 3 = 0, l = -5*t + 2*p + 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 21*u**2 - 2*u + 26. Let m = -145 + 276. Calculate the remainder when m is divided by d(-21).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n + 46. Suppose 4*z + 3*g - 8 = 0, 3*z - 4 = -5*g + 13. What is the remainder when n is divided by z - 50\/(-4)*2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.709 and -1721587 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(8\/4*(-2)\/1196). What are the prime factors of (5 + 55\/(-10))*(h - -1)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*b + 16 + 5, -b = 2*d + 13. Let l(y) = -5*y**2 - y - 8. Let t(c) = -2*c**2 + 3*c - 1. Let k(i) = l(i) - 2*t(i). Determine k(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(176) - (1*sqrt(176) + sqrt(176) + 5) - sqrt(176)) + (sqrt(176) - 1*2*sqrt(176)) + 2)*6*-5)**2.\nAnswer: -21600*sqrt(11) + 1426500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7719 rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 11 + -6 - (5 + -3) - 6.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 3)*(-3)\/(-2). Suppose w + 4 = 4*q, -5*w + 0 - i = -3*q. What is the biggest value in w, -2\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.374511 micrograms in nanograms?\nAnswer: 8374.511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1212624, -1212640, -1212656, -1212672, -1212688, -1212704?\n\"Answer: -16*o - 1212608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 115 * -0.3824.\nAnswer: -43.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -13899?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 8*k + 13. Let l be u(9). Let 9 - 4*x - 4*x - 8*x**3 + 2*x**l - 7 + 12*x**2 = 0. What is x?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/(((-37)\/444)\/((-4)\/(-24))).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 + 71. Let p(h) = h**3 - 9*h. Let l be p(4). Suppose 0 = -m - v - v + l, -5*m = 4*v - 122. Is m bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -278.2699 and -310.\nAnswer: -588.2699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(3\/9*1). Let n(q) = -q - 3. Let g be n(h). Which is smaller: g or -2\/169?\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 211*j**6\/6 + j**2\/2 + 6*j - 23. Find the second derivative of x(g) wrt g.\nAnswer: 4220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1033 - -2?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p + 0*p**4 - p**2 - p**2 + 3*p**3 + 3*p**4 - 2*p**4 to the form u*p**4 + n*p + m + g*p**3 + f*p**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 55*k**5\/4 + k**4\/24 - k**3\/3 - 2*k**2. Let q be x(2). Suppose y = 7*y - q. What is y rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**6)\/a)\/a**(-13)*(a**8\/a)\/a**(-2\/15) assuming a is positive.\nAnswer: a**(212\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/(-20)*(500 + 4 + 4).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 + -53. Suppose r*j - 84 = -4*v, -3*j + 2*v - 6*v = -62. Solve -j = 5*n - 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576.258 rounded to the nearest ten?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 16*a**3 - 16*a**2 + 16*a + 10. Let v(n) = -3 - n + 0*n**2 - 4*n**3 + 5*n**2 - n**3 - 4*n. What is 3*p(f) + 10*v(f)?\nAnswer: -2*f**3 + 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 215 = -21. Suppose -6 = 2*p, -2*p = -3*x - 3*p - 102. Let v = x - d. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 56220770 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 16. Let c(g) = 2*g - 4. Let d(l) = -l - 1. Let t(q) = c(q) - 3*d(q). Is 13 a factor of t(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -2 (c) -1.7 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/8*(0 - -1384)*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 3*a**3 + 8*a - 10*a.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**2 - 8*c - 13. Let t(h) = -h**2 - 2*h - 3. Let m(s) = -4*i(s) + 18*t(s). Let v(a) = a**2 + a. Let l = 6 - 7. Give l*m(d) - 4*v(d).\nAnswer: 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 5*o**4\/4 + 35*o**3\/3 + 20*o**2 - 80*o - 19. Factor q(z).\nAnswer: 5*(z - 1)*(z + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33256?\nAnswer: 2, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b - 12039 = -41045 - 59558. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -412753?\nAnswer: -412753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 94.57912m?\nAnswer: 94579120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8749, 17495, 26241, 34987?\n\"Answer: 8746*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 398 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16369369.\nAnswer: 29, 43, 13127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q - 6*q + 4*q - 6 + 2*q. Let z(b) = -5*b - 94. Let x be z(-18). Determine o(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 234 - 519. Let j = 283 + y. What is the second smallest value in j, 3.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (33\/(-12))\/(-4*1\/10) and -35\/158.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from heedehme. Give prob of picking 2 e and 2 h.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvptgttbmtvpt. What is prob of picking 4 t?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 12:17 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -9*d**2 - 12. Suppose 10*x + 2*x = -432. Let b(u) be the second derivative of -u**4\/12 - u**2\/2 + 31*u - 2. What is x*b(o) + 3*r(o)?\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*h = 192*h + 510*h - 43*h + 16140 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -45 divided by -1\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*(sqrt(110) + -2*sqrt(110))*-2)\/((-4*-2*sqrt(110))\/sqrt(11)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/80)\/(2\/15) + 29289\/(-208)?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72969 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -110, -36, 124, 370?\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2376.9954 rounded to the nearest ten?\nAnswer: -2380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/381 and -25\/3684306?\nAnswer: 467906862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o - 4 = 0. Let n be 50 + -54 + (1 - -2). Sort 10, 2, n, o in increasing order.\nAnswer: o, n, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4267000 to the nearest 100000.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306 = 172*s - 382 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*g + 10, 0 = -21*u + 18*u - g + 7. Let l(h) = 12*h - 13. What is l(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 0*n + 1\/6*n**2 + 1\/6*n**3 - 1 + 1\/24*n**4. Let l(q) = 0. Calculate q.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 370*k**2 + 3245*k + 1439. Calculate s(361).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v + 18*v - 224 = 0. Let i be (-2)\/4*(v - -2). What is the third derivative of 3*h**2 + 15*h + 20*h - i*h - 8*h**3 - 2*h**6 wrt h?\nAnswer: -240*h**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**3 - 19*h**2 + 27*h - 87. Determine a(6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.345 plus -1154798.26?\nAnswer: -1154797.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -293?\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = y - 5*x, 5*y - 3*x - 10 = 2*x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + m**2 - 2*m + 20. What is i(-5)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 688*h**3 + 24*h**2 - 48*h. Let q be p(9). Round q to the nearest 1000.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*f = -1 + 3, 5*k = -4*f - 48. Suppose -2*q = -4*q - 12. Let n = q - k. Solve 0*m - n*z + 2 = -4*m, -3*z = -3*m + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1128*s - 647*s + 63119 - 994 = 0 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8*(-286)\/352*(-2)\/34. Is z greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.19 (b) -5\/2 (c) 0 (d) -0.2 (e) 2\/7 (f) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-55))\/((8\/15)\/2)*2?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**4\/12 + 5*t**3\/6 + t. Let v be s(-5). Solve -3*d + 6*d - 9 = v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 80*a**2 - 5*a + 392. What is f(80)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 140669300?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 88201902053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 0) + 77 + -30 + -33 + 0 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 11*u**2 + 5. Let i be d(11). Let h be 0 + -6 - (i + -8). Let y(g) = 2*g**2 - 4*g + 2. Let l(b) = b**2 - 3*b + 1. Determine h*l(z) + 2*y(z).\nAnswer: z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -250, -1221, -2192, -3163, -4134?\n\"Answer: -971*z + 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1759.000851 - -1759. Round f to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5948 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*(2 + -5 + (2 + sqrt(891)*5 - 4*(0 + sqrt(891))))**2.\nAnswer: -1782 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -24544?\nAnswer: -24542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5372)\/164004)\/17*2*(-9)\/(-6)*1?\nAnswer: -1\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 41128410 to the nearest 10000.\nAnswer: 41130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -74, -0.56, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -13*x**2 + 2*x - 2. Let r(s) = 14*s**2 - 3*s + 3. Calculate 2*r(q) + 3*u(q).\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.16 + 10.84. Let k = 15 - w. Let t = 4.3 - k. Which is the second biggest value? (a) 0 (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8804040 rounded to the nearest 100000?\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002020211 - 2?\nAnswer: -2002020220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - 12\/(-20))\/(9\/(-45)). Which is greater: h or -176?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1112*r**4 - 2*r**3 + 0*r**2 + 2222*r**4 - 1105*r**4 + 3*r - r - r**2 to s*r**2 + y*r + m*r**3 + q*r**4 + f and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1038\/(-3806))\/(6\/(-44))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -207 + 237. Calculate the greatest common divisor of z and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 0*f**2 - 7\/2*f**3 + 0 + 0*f**4 + 0*f**6 + 3\/7*f**7 + 12*f + 0*f**5. What is the second derivative of t(s) wrt s?\nAnswer: 360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*-1)\/(-37*(-32)\/10656).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 67\/4 of a decade?\nAnswer: 2010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -30. Let b be -3 - (3 + -4) - v. Solve 6 = -b*u + 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -45\/2. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1040 (base 6) to base 14\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 r, and 1 k when three letters picked without replacement from tektkjtkrjtjt?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 85*x + 18. Let k be a(-8). Let f = k - -967. Suppose -5*z - 785 = -5*d, 0*d + z = -2*d + f. What are the prime factors of d?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 229131.48 - -13399061.\nAnswer: 13628192.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 46.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three fifths of a microsecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*z = 3*f - 136, -4*f + 200 = -4*z. Suppose -f = 2*c - 4*m, 2*c - 5*c + 5*m - 69 = 0. What is the units digit of c*(-4)\/8 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) -3 (c) 9 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8007, -8004, -7999, -7992, -7983, -7972, -7959?\nAnswer: -7944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16448 divided by 21\nAnswer: 16448\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 901?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 6. Suppose 5*y + 2475 = -25. Let x = y + 305. Let m be x\/(-26) - (-3)\/(-2). Determine c(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 856, 1717, 2578, 3439, 4300, 5161?\nAnswer: 6022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, r: 1, n: 3, p: 1, o: 3, z: 6}. What is prob of sequence zoi?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 334, 578, 866, 1192?\nAnswer: 1550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4198 - 4198 - 60*d**3.\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkl when three letters picked without replacement from lllllkllkkl.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**2 - c**3 + 0*c**3 + 1 - 4 - 3*c. Let t be b(3). Let i(q) = -q**2 + 5*q + 2. Let n be i(4). Solve 3*x - n = t*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -78.6771?\nAnswer: -15.73542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -256 divided by 5.\nAnswer: -256\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52 - 2\/13*h**3 - 18*h - 48\/13*h**2.\nAnswer: -2*(h - 2)*(h + 13)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1271241712 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/11 and 24\/54997745.\nAnswer: 54997745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1726452 is divided by 119?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 427*c**3\/3 - 31*c**2\/2 + 256*c. What is the hundreds digit of l(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0 - 9 = -4*s, 0 = 5*s + j - 18. Let l(i) = 2*i - s*i + 5*i - i. Let r(y) = -3*y. What is l(r(z))?\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2861 = -2*v + 1189, -2*v + 5*u = -4034. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 13. Let m(p) = 2*p + 38 - 10 - h - p - 14. Let q = -1 - -4. Let s(b) = 10*b + 8. What is q*s(w) - 24*m(w)?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 97, 0, 28 in ascending order.\nAnswer: -42, 0, 28, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-855)\/255 - 3\/(-1). Is x less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - (16 + -46)) + -16.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 137*l + 959. Let g be n(-7). Solve p + f = -2 + 6, g = 3*f + 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 6\/18467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -675*l + 133 - 22714 = -1656 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7156808 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 322*g**2 - 601*g**2 - 2*g - 435*g**2. Let i(n) = n. Determine j(i(p)).\nAnswer: -714*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(9)\/(sqrt(12)\/sqrt(4) + sqrt(3)) + sqrt(3) - sqrt(3)))**2.\nAnswer: -4*sqrt(3) + 67\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 306, 42, -2 in ascending order.\nAnswer: -2, 42, 306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2444643*o**6 - 9147451*o**2 wrt o?\nAnswer: 293357160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 2*t = -0*t - 6, -2*b + t = 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llvdlmldlldlmlvv. What is prob of sequence lddm?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -2\/7 (b) 0 (c) -4.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38692, 1450, -5.\nAnswer: -5, 1450, 38692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3656 (base 7) to base 16\nAnswer: -554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 11*a**3 + 14*a**2 - 8*a. Let j(g) = -g + 20. Let m be j(12). Let p(n) = 4*n**3 + 5*n**2 - 3*n. Give m*p(c) - 3*r(c).\nAnswer: -c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69 - 347\/5. Let l be 2\/3*2*3. Suppose -l*m = -5*m + 1. Is m >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 - 20734*l**3 - 71684316*l**2 - 82771144808*l - 412066206640.\nAnswer: -2*(l + 5)*(l + 3454)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*z = -63*z + 78 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 6*i + 6*i. Let o(m) = -5*m**3 + m - 1. Let a be o(1). Let y = -3 - a. Calculate j(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66123856 to the power of 1\/4, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/590 and 87\/2500?\nAnswer: 147500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 40*z**2 - z + 1208. Give v(1).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -936490089849 plus -0.3?\nAnswer: -936490089849.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/125 - -101\/125. Which is the closest to 2\/11? (a) -2\/5 (b) -2\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90438591 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**4\/o*o)))**(-4\/9)*(((o*o\/o**(6\/7))\/o)\/o)**(-1\/5) assuming o is positive.\nAnswer: o**(-506\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 738.4804 centuries?\nAnswer: 7384.804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-275797.\nAnswer: -1378985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17415139801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/55 and -101\/660.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-16) + 46\/(-8). Let l = v + 5. What is the nearest to 0.2 in l, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9992992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = o + b + 23, 0 = 2*b + 10. Suppose -4*t = 16 + 24. Is o at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -50*x**2 - 3*x - 7. Let z(o) = 14*o**2 + o. Determine -p(v) - 3*z(v).\nAnswer: 8*v**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 9*m. Let g(w) = w - 1. Give 4*g(q) - 5*i(q).\nAnswer: -41*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 27 + 0 + 2. Let u(g) be the third derivative of g**4\/8 - g**3\/6 + 2*g**2. Let y be u(2). What is the highest common factor of y and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -21?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**3\/3 - o**2\/2 + o - 2. Let s(y) = 4 - 2 - 2*y - y**2 + y**3 + 3*y**2. Calculate -2*d(w) + s(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -16*k - 7. Is u(-4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 264 + -372. Let a be (-15)\/(-5) - k\/2. Find the first derivative of 2 + 73*o**2 - a*o**2 + 2 wrt o.\nAnswer: 32*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 144*s**2. Let g(l) = -l. Give g(k(r)).\nAnswer: -144*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -3\/45734 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 6:48 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 231*s + 290?\nAnswer: 231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 374861, 374786, 374707, 374624, 374537, 374446, 374351?\nAnswer: 374252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*h + 3*h - 346, 0 = 3*h - q - 201. What is the remainder when h is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419224 is divided by 643?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 247969731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12685 by -6.\nAnswer: -12685\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -380 + 380. Let c(b) be the second derivative of -1\/54*b**4 + l*b**2 + 2\/27*b**3 + 0 + 4*b. Determine w, given that c(w) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81584 divided by -20396\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 105879884147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -13 + (9 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-83)\/30 + (-1 - -1))*129. Let y = k + 355. What is the common denominator of -53\/72 and y?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119958221167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.0847*-0.01748\nAnswer: -0.001480556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 6*s + 31. Let c be 54\/(-45)*(-2 + s). Calculate the highest common factor of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)\/sqrt(1100))\/(sqrt(4) + sqrt(72)\/sqrt(2) - (sqrt(144) - sqrt(4))))**2.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 12*b - 12. Let a be m(11). Let y = -660 - -664. Sort 1, -3, a, y in descending order.\nAnswer: y, 1, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 27\/4 (c) -64 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 16*m - 11. Let a be j(-11). Suppose 0 = 2*i + 2 - a. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.048 - 0.048. What is the second smallest value in -1, -0.09, n?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 23*a**2 - 78*a - 8. What is the least common multiple of 50 and r(-19)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 412*x**2 - 23*x**2 - 3*x + 319*x**2 + 100*x**2 - 111*x**2 in the form p + s*x**2 + d*x and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -280221 and -16.\nAnswer: 4483536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or 1?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, c: 5}. What is prob of picking 4 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhnqqqq. What is prob of sequence qqqn?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -3*r - 11*v + 7520, 0 = 5*r + v - 12539. Suppose -r = -310*h + 304*h. List the prime factors of h.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15898 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*k*n**4 + 151*k*n**3*p + k*n**2 - 27*k*n*p + 2*k*n + 5*k*p + 2*n**2*p wrt n?\nAnswer: 192*k*n + 906*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 10*l**2 - 2*l - 5. Let a(s) = -s**2 + s + 1. Let g(h) = 5*a(h) + x(h). What is the second derivative of g(t) wrt t?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 48*m - 74. Let c be h(4). Suppose 3*p - 3 = 0, -p - 21 = -5*q + c. What is the greatest common factor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 + -58. Let t(b) = -2*b**3 - 13*b**2 - 5*b - 5. Let d be t(w). Let i be 93\/(-62) - -1*(-2)\/(-4). Sort 2, d, i.\nAnswer: d, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10467 and 894583089?\nAnswer: 10467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/5 + 4938*o**3\/5 - 8142708*o**2\/5 + 901615966*o - 39916752363\/5.\nAnswer: -(o - 1643)**3*(o - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-63612)\/(-243) - (1\/7 - 46\/126). Solve 0 = -a - 4*l - 16, 266*l + 28 = 2*a + g*l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 - 246 = -5*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/((-3)\/24*2). Let w(c) = v + c - 18 - 17. Give w(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9748172 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 - -1. Which is the closest to -1? (a) -5 (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/(-22) - 10\/(-4). Suppose -5*s = b + 18, 3*b - s - 18 = 2*s. Is t at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*l + 2*o = -7808, 0 = 5*l + 2*o - 7792. Calculate the common denominator of (-15)\/(-8)*l\/500 and -19\/34.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -341*a**2 + 655*a**2 - 350*a**2 - 62 wrt a.\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 668929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-12)\/(-16))\/((-209061)\/3944 + 53)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12947 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3*(-4)\/36).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 17 = z - 22, 33 = 3*z - 2*s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -400852\/65 - -30834\/5. Let w = -1 + 2. What is the second biggest value in m, w, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(56\/(-12)))\/((-2)\/7).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 765 and 1035?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1207 + 1477 = -54*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 405\/(-30) + (-4)\/(-6) and -35\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 777686621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 14) to base 11\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 67. Let d be g(0). Let q = -38 - d. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g - 10167 = 3177. Let p = 3894\/7 - g. What is the third biggest value in 0.5, -27, p?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167211 + -304688273.\nAnswer: -304855484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.4 + -4.1. Let m = -34847\/1086 + 46\/181. Let l = -65\/2 - m. What is the closest to q in 0.1, 3, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 0) + (-102)\/21. Let v = -37 + 36.978. Let l = v - -0.022. Put -1\/3, n, l, -2 in decreasing order.\nAnswer: n, l, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 713 - 480. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1006 - -1245. Calculate the remainder when k is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5 = -21. Let o = l + 14. Let z(i) = -2*i**3 + 2*i**2 + i. Let y be z(-1). Solve 5*u = y*q - 9, -q - 5*u - o - 11 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48268.78nm to millimeters.\nAnswer: 0.04826878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 10*w - 13. Let l be z(9). Let i = -8 - l. Sort i, 2, 0 in increasing order.\nAnswer: i, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k. Let w(a) be the second derivative of -23*a**4\/12 - 63*a. What is l(w(q))?\nAnswer: -138*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.55 and -2.\nAnswer: 9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15946.\nAnswer: 2, 7, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1127 + 1145. Solve -2*z + 4*c - h = 0, z - 26 = -0*z - 5*c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.41 * 22948\nAnswer: 9408.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(891) + sqrt(891) + 2)*4 - sqrt(891) - (sqrt(891) + -2 + sqrt(891) + -4)) + 0)**2.\nAnswer: 1260*sqrt(11) + 22471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u = -69*u - 165 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103\/830 - 2\/83. Let t be (6*1)\/(10 - 8). Suppose 2*r + 5*u + 15 = 0, 19 = -t*r - 2*u - 2*u. Sort 0.5, 5\/2, d, r in increasing order.\nAnswer: r, d, 0.5, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41619\/10576 - 3\/1322. Find the common denominator of w and -55\/62.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(121) + 2*sqrt(121))*3)\/(1*sqrt(539)*1).\nAnswer: -27*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 69272\/32 + -27 + 6\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1103134 - -10?\nAnswer: 1103144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-280)\/2)\/14 - -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**6\/360 - u**5\/20 - u**4\/8 + 2*u**3\/3 - 2. Let o(l) be the third derivative of c(l). What are the prime factors of o(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x*x**7))\/((x*x**(3\/8))\/x))\/(x**(-27)\/(x\/(x*x**15))))**(-7) assuming x is positive.\nAnswer: x**(-315\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 30. Let i = 3 - 4. Let p = i + n. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 7 + 124 = -b, 4*b + p = -459. Which is bigger: b or -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u. Let l(h) = h**2 + 3*h. Let y(f) = -8*b(f) + 3*l(f). Let k(t) = t**2 + 5*t - 203. Let c be k(-17). Calculate y(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)*v*v*v**0)**(-14) assuming v is positive.\nAnswer: v**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5513.8 - -5512.999931. Let p = -0.857 + 0.057. Let l = p - o. Round l to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 10 + (-6 - (-2 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*g + 9*g - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61 - -47) + (50 - -4) - (3 + -9)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 2, 1, 19633, 0 in decreasing order.\nAnswer: 19633, 4, 3, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0198945925 rounded to three decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*b - 64*b + 2332 = -117*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a + 3. Let g(m) = -6*m - 7. Calculate 3*g(n) + 7*l(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19, -23, -15, 11, 61, 141, 257?\n\"Answer: g**3 - 11*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**3\/3 - 5*w**2 - 29*w - 23. Let g be h(12). What is the closest to -2\/5 in -2, g, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 18*n - 13. What is b(-9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1486*m - 3 + 1073*m - 879*m + 4*m**2 + 3 to j*m + y + a*m**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4231*i + 5656*i + 55575 for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/4*84\/(-126). Let o = 17\/4 + -47\/12. Let a be 6*-2*(-1)\/(-4). What is the nearest to 0 in g, o, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.668011 and 115.\nAnswer: 112.331989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2299))**2 + -1 + 0 - ((3*sqrt(19)*1)**2 - -1*sqrt(171)))*-4.\nAnswer: -8508 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1341634.\nAnswer: 2, 7, 61, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.47 in 4, -17, -0.07, -42, -3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4393.9966945 + -4394. Round o to four dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 2. Let j be g(4). Let d(p) = -80 + 80 - p**j. Let r(q) = -5*q**2 + 0*q + 0*q + 7*q**2. Give d(r(x)).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -2. Let l = 131.85 + -135. Let r = -0.15 - l. Is i at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26817379 divided by 3\nAnswer: -26817379\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 4*j**2 + j**2)*(4 - 4 + j) + j**3 + 4*j**3 - 3*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -8 + 8*l - 5*l**2 + l**3 - 3 + 8. Let j be q(3). Let r(c) = 8*c - 9*c + 6*c + j*c**2 - 4*c**2 - 2. Calculate r(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-589 - -588)\/(1\/18*-1). Solve 2*w = 4, -13*u + x*u + 5*w = 20 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrcr when four letters picked without replacement from frlsrfsrclsflsfcscrs?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-75)\/(-10))\/5)\/((-12)\/(-32)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119827, -239654, -359481, -479308, -599135?\nAnswer: -718962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3806682 divided by 2526?\nAnswer: -1507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33682 = 758*u - 2289*u for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49283 is divided by 4415?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h**3 - 2*h**2 + 18*h - 158. Is u(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 33?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from sssjsjssss.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 94, 142, 190, 238, 286?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -2\/11 (c) 183\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 3695 and 3727 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29\/40 in -721, 0.4, -1\/11, -1, 4, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 7:43 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/15))**19\/(h**3*h**(1\/11)\/h) assuming h is positive.\nAnswer: h**(73\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (-77)\/28 + (-110)\/(-8). What is the units digit of (-2680)\/(-15)*63\/r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5756549 rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4 + 2 = 0, -78*f + 15*i - 17 = -80*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 p when three letters picked without replacement from epepesepesseppdeee?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 + 15*c + 20. Calculate z(10).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - (sqrt(119) - -2*sqrt(119))*1)*-4)\/((-6*(sqrt(84) + (sqrt(84) - (sqrt(84)*2 + sqrt(84))) + sqrt(84) + sqrt(84) + sqrt(84)))\/sqrt(12)) + 3.\nAnswer: -2*sqrt(17)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33185390453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/9 - 76*o**2\/9 + 70*o\/9 + 148\/9.\nAnswer: 2*(o - 37)*(o - 2)*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a + 37*a**5 - a - 38*a**5 + (3*a + 0*a - a)*(6*a**4 + 4*a**4 - 5*a**4) - 4*a**5 + 4*a**5 - a**5.\nAnswer: 8*a**5 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m - 69. Let n(i) = 8*i - 206. Determine -6*n(s) + 17*u(s).\nAnswer: 3*s + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 355579*i - 12. Calculate u(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-15))\/(3599\/915)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 135420 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 136*h**7\/7 + h**5 + 79*h**3\/3 - h**2 + 1526. Find the third derivative of w(t) wrt t.\nAnswer: 16320*t**3 + 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - 10242?\nAnswer: -10220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {l: 5, a: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2586 - -3769. Let i = 1843 - c. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11339684 rounded to the nearest ten thousand?\nAnswer: 11340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11132 - 1544?\nAnswer: -13006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -33*n + 10. List the prime factors of h(-7).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 516426068?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 + 54. Suppose -5*z + 760 = -390. Suppose 50*m - z = 45*m. What is the remainder when m is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, -2\/9, -6, -3, 1, -1535 in decreasing order.\nAnswer: 1, 0.08, -2\/9, -3, -6, -1535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5\/2 + 19*x**4\/2 + 57*x**3\/2 - 319*x**2\/2 + 121*x = 0. What is x?\nAnswer: -11, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1233 + 115. Let l = k - 299. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/39 (b) -39904 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 21\/12116425?\nAnswer: 21\/12116425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*j - 1. Let c = -57.592 - -57.642. What is the fourth biggest value in j, 1\/2, 0.1, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -657, -2286, -3919, -5556, -7197, -8842, -10491?\n\"Answer: -2*d**2 - 1623*d + 968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10565557?\nAnswer: 10565557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63.86 + 64.36. Which is the closest to 1? (a) -3\/4 (b) 4\/15 (c) v (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 164, 211?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**3\/12 + 9*c**2\/8 - 7*c\/2 + 51. Factor b(i).\nAnswer: -(i - 7)*(i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3943 = -3*g, -5*k - 811 = -5*g - 20526. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t - 15. Let o(x) = -2*x + 7. Determine -9*o(v) - 4*y(v).\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -454010 from -639.\nAnswer: 453371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -959325546*a**2 - 548412*a + 420 wrt a.\nAnswer: -1918651092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4029630 is divided by 690.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f + 2. Let a be 1\/((1 + -2)\/(-4)). Suppose 0 = a*p - 4, -4*y + 4*p + 7 = 3. What is the tens digit of l(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 5*o - 4. Let j be d(-7). Let l = j - -31. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29760 divided by -3238?\nAnswer: -14880\/1619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(2310\/(-319)) - (22\/(-385) - 396\/420)\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1124265 - -1?\nAnswer: 1124266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*-19*48\/(-296400)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28900*p**2 + 28903*p**2 - 2211 + 2211.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5296500 and 825.\nAnswer: 5296500","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 40. Solve 0 = -2*h + 2*d + 6, y = 3*h + 2*d - d - 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1848*z - 830*z + 2260*z.\nAnswer: 3278*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*j*l - 216755485*j + 77*l**2 - 9401*l wrt l.\nAnswer: -12*j + 154*l - 9401","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g**2 + 5 + 2 - 2*g**2 wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -333684.119 - -0.5\nAnswer: -333683.619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/16? (a) -3 (b) 0.4 (c) -1\/2 (d) 3\/8 (e) 25\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1748*t + 28*t + 32790 = -5050 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63*i**4*z**3 + 9*i**4*z - 7*i**2*z**3 + 15*z**3 + 3*z**2 wrt i?\nAnswer: 1512*i*z**3 + 216*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3\/13 - 98794*m**2\/13 + 31114800*m\/13 + 94233600\/13 = 0. Calculate m.\nAnswer: -3, 320, 49080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 5*a**2 - 3*a + 4. Let j(m) = -2*m**2 + 8*m + 4. Let t be j(5). What is z(t)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 896 is divided by 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -4 (b) -0.0635 (c) -3\/4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13916)\/(-168))\/71*(-3)\/7*0\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r - 33. Calculate d(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68761?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(468)*3 - (-5*(1 + sqrt(468)) - sqrt(468))) + -1 + 3 + 5*(2*sqrt(468) + sqrt(468)))**2.\nAnswer: 1008*sqrt(13) + 67441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13114 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o + 14. Let p be u(4). Let m(t) = t**2 - 9*t - 8. What is the remainder when m(p) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - p - 5 = p, -2*x + 5*p - 31 = 0. Let m = x + 1. Let y(s) = -3*s - 3. Let h be y(m). Solve -h*v + 5 = 2*f, v + 3*f = 3*v - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -30 (c) 0.1 (d) -768\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(17) + sqrt(153) + 4).\nAnswer: 24 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*r - y - 7722, 2*y + 1934 = r. Suppose -2*u + r = 2*u - h, 4*h = -8. List the prime factors of u.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 2. What are the prime factors of (0 - 1 - -13) + d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -209 by -19.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 28117, 3, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 874 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + (9 - 14) + (27 - -3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -336\/37, 3417, 6?\nAnswer: 3417","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12825983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 0*a + 0*a**3 - 17\/24*a**4 - 4*a**2 + 0. What are the prime factors of u(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 415*u + 160. Let c(f) = 208*f + 81. Let h(t) = 7*c(t) - 3*x(t). Find the first derivative of h(r) wrt r.\nAnswer: 211","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1035*b**2*n + b*n**3 - 80*b - 41524*n**3 wrt b.\nAnswer: -2070*b*n + n**3 - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 3*s**2 - 2*s + 1. Let u be m(-2). Put -4, 4, u in increasing order.\nAnswer: -4, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 3*g - 6*g + (-7 + 3 + 3)*(-2*g + 5*g - g) + g + 0*g + 2*g)*(-2 + 2 - 2*g**2).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + sqrt(132)*-3)*2*1)\/((sqrt(108) + -3*sqrt(108) + sqrt(108))*2).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30904?\nAnswer: 2, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 2\/(-1) - -3. Suppose 0*y + 4*c + 3 = 5*y, 2*c = q*y - 6. Suppose 2*b + 0*x = 5*x + 53, -4*x - 90 = -y*b. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551317.\nAnswer: 13, 42409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**8\/6720 + y**7\/1680 - y**6\/40 + 13*y**5\/30 - 20*y**2. Let p(g) be the third derivative of z(g). Factor p(o).\nAnswer: 3*(o - 2)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 15) to base 13\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 5. Let n(r) = r - 3. Let z(u) = -5*n(u) + 3*t(u). Let x(c) = 0*c + 17*c**2 - 6*c + 6*c - 16*c**2. Determine z(x(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/27 and (-3 - 33\/(-9))\/(20\/219).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = w + 3*w + 2, 5*l = -4*w + 18. Solve -l*t + 4 = -0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 192 + 4 = 2*s, -s - 2*r = 82. Let k be 1\/(3 - s\/(-28)). Let y(a) be the third derivative of -a**4\/24 - 5*a**3\/3 + 10*a**2. Determine y(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 18974506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -3*h**2 - 7*h + 1. Suppose 3*l = -3*x + 6, 0 = 8*x - 7*x - l. Let u(m) = -m - 1. Give x*z(t) - 4*u(t).\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 0 = -5*q - 10, 0 = 5*q - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -0.2, 1.1, -5 in descending order.\nAnswer: 1.1, -0.2, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2052 and 4176?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5*q + 27, 2*q = 2*y + 6*q. Let j be ((-778)\/y)\/(2\/72). Suppose 4*f - j = 15732. Round f to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, z: 3, o: 5, s: 3, y: 2, h: 1}. What is prob of picking 1 z and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-4)\/(432\/(-27)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 26*w**7\/21 - 23*w**4\/4 - 2*w. What is the third derivative of z(h) wrt h?\nAnswer: 3120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4*(-1 - 0\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 10 (c) -126 (d) 4 (e) 2\/11 (f) -0.2 (g) 0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 36*k - 1 = -82*k + 41*k + 4, -k + 20 = 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 957, 975, 1011, 1071, 1161, 1287, 1455?\n\"Answer: s**3 + 3*s**2 + 2*s + 951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(176) - 2*sqrt(176)))\/(4*(-2*4*sqrt(3) - sqrt(3))).\nAnswer: sqrt(2)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-14) - (-10)\/35. Let i = 8.5 + -3.5. What is the second smallest value in v, -5, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10264 and -5.\nAnswer: -51320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 11:35 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 3 - 2 + 6*z)*(4*z - 2*z - z) - 4*z**2 + 3*z**2 + 3*z**2 to j*z**2 + c + r*z and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**4 - 2127*c**3 + 394*c**2 + 25660161?\nAnswer: 4*c**3 - 6381*c**2 + 788*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-396))\/(((-5)\/(-5))\/9244). Let i = -450\/11 - o. Calculate the common denominator of -97\/52 and i.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-1\/4)\/s*s*s)\/(s**5\/s))\/((s\/(((s*s*s**(-8)\/s)\/s)\/s)*s)\/(s**(-1)\/s)))**(1\/15) assuming s is positive.\nAnswer: s**(-61\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 21, 23?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 101 + -98 - (3 - (-1 + 12))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3329 is divided by 196.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 217.0744 - 217. Let v = u - -56.9256. Let p = 2 + -3. Are p and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*d - 425, 2*d = 4*q - 139 - 211. Calculate the least common multiple of q and 75.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eknkknkkenmmm. Give prob of picking 1 m, 2 e, and 1 k.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whryc. Give prob of picking 1 r and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 6*i**2 - 4*i - 3. Let u = 25 - 31. Let z be t(u). Let h = -20 + z. Solve 8 = -3*o - h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 10) + (7 - 1) + -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s - 4*s - 3*s. Let n(u) = -6*u + 9. Let w(j) = -3*j + 4. Let o be (-7)\/(-28) - 17\/4. Let z(b) = o*n(b) + 9*w(b). Give z(r(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 4 = b + 14*m, -3*b - 12 = m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4781*s**4 + s**2 - 4029*s?\nAnswer: 114744*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -208, -1\/7, 1\/2, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h + 13. Let y(c) = 5*c + 13. Calculate 2*o(z) - 3*y(z).\nAnswer: -3*z - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -k - 18, d - 2*k + 4*k = -9. Sort -100, -5, d in ascending order.\nAnswer: -100, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22175067 (base 8) to base 10.\nAnswer: 4782647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.018, 1\/6, 41 in decreasing order.\nAnswer: 41, 1\/6, -0.018, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33 and (-9)\/10*(-2 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -34. Which is the third smallest value? (a) -0.4 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*c**2 + 0 + 0)*(c + c + 0*c) + 0*c**3 + 0*c**3 + c**3 + 0 + c**3 + 0)*(c**2 - 40*c - 25*c + 39*c).\nAnswer: -2*c**5 + 52*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g**3 + g**2 + g + 1. Let y be ((-6)\/12)\/((-2)\/(-4)). Let b be l(y). Does 6 divide (b - 25)*(-2*1 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 + s**4 - s**4)*(5 - 1 - 3)*(14*s - 2*s + 8*s).\nAnswer: -20*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17988063*d**5 - 398493*d**2?\nAnswer: 1079283780*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/5)*u**(-4\/5))**8)**(1\/16) assuming u is positive.\nAnswer: u**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 810*p**5 + 12*p**2 + 8*p**2 - 795*p**5 + 4*p**2 wrt p.\nAnswer: 900*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 219 = -41. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - j - 1)*(j - j + 2*j) + 4*j**2 - 12*j**2 + j**2 - j.\nAnswer: -9*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -11935*w. Let h(u) = 239*u. Let p(z) = 657*z. Let c(q) = 11*h(q) - 4*p(q). Give f(c(t)).\nAnswer: -11935*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2280*n - 9094. Let y be x(4). Let b(w) = w**2 - 17*w - 217. Give b(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 13. Suppose -2*g = -y*g + 15. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 8*g = -10*g - 70, -4*x + 280 = -3*g. Let p(r) = 10*r**2. Let a be p(-2). Let v = x - a. Is v > 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l + 1. Let d(n) = 7*n + 3. Let k(p) = -2*d(p) + 5*q(p). Let f be k(4). Suppose -j + 5*y + 4 = 0, 0*y - 4 = -j - 2*y. Solve -j*i + f*i = -5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**19\/(f**(2\/3)*f\/f**(-1\/6)) assuming f is positive.\nAnswer: f**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 2\/9, 6, 1\/4 in increasing order.\nAnswer: -1, 2\/9, 1\/4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-33) + (-24727)\/(-20658)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d - 12. Calculate the common denominator of p(0) and 13\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 117.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 22, 1629, 1 in descending order.\nAnswer: 1629, 22, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.3 (b) -1\/3 (c) 0.08 (d) 2\/11 (e) 10 (f) 553\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (2 - -14) + -16 + -3 + 3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-50) - 908\/(-100)) + 10555 + -13 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.78467 to 3 dps.\nAnswer: -0.785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w**2 + 187*w**2 - 1 + 0 - 2.\nAnswer: 198*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/265 and -50\/477?\nAnswer: 2385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 744 - 502. Suppose -d = -3*a + 3*u + 409, -4*a - 5*u = -877. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.4 (b) -1\/23 (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 2:16 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1998 (base 10) to base 9.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**4\/12 - 14*t**3\/3 + 12*t. What is the second derivative of c(x) wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, s: 2}. Give prob of sequence js.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 5*d - 125 = 0, -85335*d = i - 85332*d + 83 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*(2 + (sqrt(3)*-1 - sqrt(3) - sqrt(3)) + -1)**2 + ((sqrt(486)\/sqrt(6))\/sqrt(3)*4)**2.\nAnswer: 36*sqrt(3) + 265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 880, -38, -4, -5, 4, 3, -3 in decreasing order.\nAnswer: 880, 4, 3, -3, -4, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*g + 22*g = -13*g - 1022 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 26*l**2 + 10*l - 25*l**2 - 12*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 18 - 10 = 0. Let a be 12\/14*b\/(-18). Find y, given that 2\/3 + 2\/3*y**2 + a*y = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -9*p**3 - 3*p**2. Suppose -36 = 18*z - 72. Suppose 2*t - z*m + 3*m - 1 = 0, 4*m = -20. Let n(l) = -l**2. Calculate t*n(c) - d(c).\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 173296 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89444 and 25524892?\nAnswer: 1516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a - 3. Let v(o) = -o + 1. Let x(l) = -s(l) - 5*v(l). Let z be x(6). Suppose 0 = 4*w - z - 0, f - 6 = -3*w. Solve 0 - f = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13024507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 258370 to the power of 1\/2, to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 1:21 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t - 23. Let h be b(-6). Do h and -8\/23 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 8*d**2 - d - 3. Let k be -2 - (-2 - (3 - 2)). What is the smallest common multiple of h(-8) and -9*20\/(-15) + k?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 162*p - 6*p**3 - 729\/2 - 1\/2*p**4 + 9*p**2.\nAnswer: -(p - 3)**2*(p + 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**2 + 13*q + 12. What is w(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 28. Solve 4*v - t*w = 5, 2*v - 2*w = -v + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 762 + 2208 + 2515 - 85 = -90*c for c.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 18*k**2 - 22*k - 1. Let u(a) = 3*a**2 - a. Determine 5*u(x) - z(x).\nAnswer: -3*x**2 + 17*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5646, 1, -131, -4, -5 in decreasing order.\nAnswer: 5646, 1, -4, -5, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 212\/6 + 2 + 23\/(-69).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 125 + -122. Solve -4*d + a*b = -6, -2 = -3*d + b + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 164\/39 + ((-6)\/27)\/(2160\/25920)?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, -2, -0.02103, -0.1, 3\/2, 2\/13?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 33344563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1133 - w**2 + 573 + 531 - 10*w. What is l(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.42246175 to three decimal places.\nAnswer: 0.422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 225 + 4*f - f + 4*f - 8*f to the form a*f + n and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 - 3*z**4 + z**4 + 0 + z**4 + 0 + (-z**4 + 0*z**4 + 2*z**4)*(1 - 3 + 4) - 36 - z**4 + 704*z**2 - 704*z**2.\nAnswer: z**4 - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3379191 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25504?\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14, 62, 140, 248, 386, 554, 752?\n\"Answer: 15*p**2 + 3*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctc when three letters picked without replacement from ccctcttttc.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 25*n**4\/12 - 2*n. Let m(z) be the third derivative of -z**4\/24 - 27*z**2 + 12. What is x(m(i))?\nAnswer: 25*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 3, j: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -103, 5, -34, 3, -4 in decreasing order.\nAnswer: 5, 3, -3, -4, -34, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 8\/13, -6, -3.\nAnswer: -9, -6, -3, 8\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/3, 3\/5, -0.5, -10?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*a = 135, 3*l + 3*a + 29 = 344. What is the least common multiple of l and 54?\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, b: 4, n: 1}. Give prob of sequence nbxb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003866345306 rounded to 7 decimal places?\nAnswer: 0.0000387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + -1110123?\nAnswer: -1110203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -154*u - 770. Calculate z(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**2)\/(r*r*r**(4\/3))*(r\/r**(-1\/18)*r*r)**2)**(6\/25) assuming r is positive.\nAnswer: r**(104\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -2. Let s(i) = -i**3 - 8*i**2 + 4*i + 12. Let u be s(-8). Let l be ((-2)\/u)\/(2\/15). Which is the second biggest value? (a) h (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26394156 is divided by 205.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 9*x + 1. Let r = 14 - 5. Let f be d(r). Let z = -3\/4 - -1\/12. What is the closest to f in -0.5, z, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(4\/3)\/d*d**1)**(-19)*((d\/(d\/(d*d*d**(-4))))\/(d*d**(-6)\/d))\/((d\/d**(2\/5))\/d**(-8)) assuming d is positive.\nAnswer: d**(-734\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 956.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*n + 1578 - 1623. Suppose m + 90 = 5*x, 2*m = 3*x - m - 42. Let u = n + x. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -866 - -4327\/5. Let w = -0.4 + 0.3. What is the smallest value in -3, -5, j, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 6*f = 25, -859*f + 5 = 5*z - 861*f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61354070 to the nearest integer?\nAnswer: 7833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 2 (c) 4 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -340 - -343. Suppose o + 53 = -7*p. Let g(x) = -x**2 - 6*x - 7. Give g(p).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19591953.7 plus 28505?\nAnswer: -19563448.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + sqrt(245) + (2 + sqrt(245) - sqrt(245) - sqrt(245)))*-2)**2 + -4.\nAnswer: 112*sqrt(5) + 992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 12, i: 3}. Give prob of picking 2 i and 2 c.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/8)*w*w**1\/w*(w*(w**(2\/3)*w)\/w)**(-8\/5))\/((w*w**(-4))**(10\/9))**50 assuming w is positive.\nAnswer: w**(1321\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -12. Which is bigger: 6 or t?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6946716085.\nAnswer: 5, 79, 17586623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 12 - 8. What is the remainder when 17 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -93130 or -93129?\nAnswer: -93129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 3675\/4*d**2 - 35\/2*d**3 + d - 88 + 1\/8*d**4. Factor h(j).\nAnswer: 3*(j - 35)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-2817)\/540 - (-54)\/90)\/(2\/(-12))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*x + 4*a, -2*x - 19*a - 4 = -17*a. Let c be ((-10)\/x)\/(20\/(-40)). What is the highest common factor of 60 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76160 and 3060.\nAnswer: 685440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2560*u**3 + 1731 wrt u?\nAnswer: -7680*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/136 + 8\/(-32). Is z greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*10\/(-295)*(-728)\/5824.\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of x**4\/12 - 17*x**3\/18 + 5*x**2\/3 + 4*x - 18. Let q(p) be the first derivative of s(p). Let q(c) = 0. What is c?\nAnswer: 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 57, 16, 17 in ascending order.\nAnswer: -5, -2, 16, 17, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 513 divide 41635102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -329 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 18*f + 9. Let j = -27974 - -27968. Give g(j).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 604.7 + -599.658. Let v = 0.042 - h. Let u = -9.1 + 6.1. What is the biggest value in v, u, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b + 49. Calculate i(17).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 0*m + 8. Suppose 4*j = m*j - 8. Let s = -15 + 15. Sort j, s, -4 in decreasing order.\nAnswer: j, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b = -41*b + 195. Let y be (-2)\/(-12)*2*3. Let u be 16\/(5 - y) - -23. Calculate the highest common factor of b and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a - 88. What is r(-15)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t + 0*t**2 + 0*t**2 + 4*t**2 + 2. Let i(c) = c**3 + c**2 - c - 1. Let m(z) = i(z) + n(z). Let j(d) = -d**2 + 4*d + 8. Let u be j(6). What is m(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7*(-3 - -4) - 0. Is c > -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*j**6 + 3399*j**5 - 4*j**2 - 19641?\nAnswer: 5040*j**3 + 203940*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d - 2*d)*(-22*d**2 - 6*d + 15*d + 20*d**2).\nAnswer: 4*d**3 - 18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-488)\/(-12) - (2 - 24\/18). Suppose -z*c - 2 = -42*c. Solve -4*j = -h - c, 0 = -6*h + h - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144116484 to the power of 1\/3, to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (56 - -579337) + (62\/8 - (-9)\/36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 977.78 to the nearest 10.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-106)\/10*(-3 - 1). Let i = q + -43. Let g = -37.85 + 37.35. Which is the fourth biggest value? (a) 13 (b) g (c) 5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4))**(-37)*a*a**(1\/17)*a*a*a**(-19)*a assuming a is positive.\nAnswer: a**(2262\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*x - 116*x**3 + 17*x**3 + 2*x**2 + 48*x**3.\nAnswer: -51*x**3 + 2*x**2 + 82*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 9*d**2 + 7*d - 1. Let v be w(-8). Suppose v*h + 3*o = 2*h + 7495, -5*h + 7495 = 2*o. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -8 + (-7 - 5) - -21\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or -239.561?\nAnswer: -239.561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -3. Suppose -2*s + 3 + 1 = a. Suppose g + s*j - 5 = 0, -4*g + 4*j + 94 = 14. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/25))\/h**(2\/9)*(h**4*h)**(-28) assuming h is positive.\nAnswer: h**(-31343\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4804467371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1 + sqrt(243))**2 + sqrt(243)).\nAnswer: -54*sqrt(3) + 1464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -10*j - 5. Let n = 13 - 25. Let o = 8 + n. Is q(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000018418 to 7 dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 q when three letters picked without replacement from {q: 5, u: 7}.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlnhanhlh. What is prob of sequence nh?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 98*h - 3900. Let v be n(40). Let u(g) = 6*g - 112. Give u(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*p**2 - 9*p**2 - 4*p**3)*(2*p + 0*p - p + (0 + 2 - 4)*(2*p - 4*p + p) + 3*p + 6*p - 5*p) as a*p**2 + d*p**4 + s + c*p**3 + m*p and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -189 - -189.0001015. What is d rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61796?\nAnswer: 2, 7, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/27 of a week in seconds?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 84?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-49)\/(-7))\/(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-714)*(-17048021663)\/(-86699760). Let t = -2417332\/361249 + n. Let h = -1\/7497 - t. Calculate the common denominator of -103\/6 and h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 9*x + 24. Let t be w(-6). Suppose 2*v - 56 = -t*v. Let u(h) = -4*h + 7. What is u(v)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and (-33256)\/60*-5 - (-2)\/3?\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.01 - -4. Suppose 2*v - 27 + 7 = 0. Let l be 4\/(v\/(-45)*-6). What is the third biggest value in l, -4\/7, i?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/32)\/(3 + 50\/12). Let y = a - -8339\/172. Let s = -143\/3 - -689\/12. Find the common denominator of y and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90.44 + -91. Let f = d + 1.41. Let j = -0.15 - f. Sort -2\/7, j, -3\/4, -0.5 in decreasing order.\nAnswer: -2\/7, -0.5, -3\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = -24*f + 8*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.885 + -1691.885. Let x = g - -1734.42. What is x rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73\/3 + -24. Suppose -2*i + 5 = -r + 13, -3*i - 12 = -3*r. Which is the nearest to r? (a) 2 (b) -2\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 29371*b + 293718. Suppose -2*w = -6*x + 3*x - 149, -w = 5*x - 81. What is the remainder when w is divided by h(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/6238?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*u - 43. Suppose 0 - u = 3*m. Do -4 and m have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*k - 294 = -250 + 860 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 330 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2151 is divided by 318\/2226 + (-684)\/(-14)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -273132, -546263, -819394, -1092525?\n\"Answer: -273131*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 23, 26, 13, -22?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k + 9. Let j(c) = c + 1. Let l(m) = -5*j(m) + r(m). Let s(g) = g**3 + 8*g**2 + 5*g - 10. Let v be s(-7). Determine l(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13981820 to the power of 1\/2, to the nearest integer?\nAnswer: 3739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/(-221)*13*-29*12\/18.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/52*(-4)\/2.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 1. Calculate the greatest common factor of 54 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - t**2 + 6*t + 6. Let v be k(0). Find h, given that -2 - h - 4*h - 2*h**2 + 3*h + v*h = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -318792, -638053, -957316, -1276581, -1595848, -1915117?\n\"Answer: -x**2 - 319258*x + 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b - 2 + 2)*(-1 + 2 + 0) + 8*b + 8*b + 3*b + 101 + 4*b - 5*b - 88 to the form p + d*b and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2205 and 1806336.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134324, -268654, -402984, -537314, -671644?\nAnswer: -805974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 167701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*f + 364 = -132*f. Are -88 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -12\/7 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1969\/(-537)*4\/22 - 2048\/(-3). Solve -f + 178 = -72*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43931*a*q*s - a*q + 12*a - 2*q*s - q - 377 wrt s.\nAnswer: 43931*a*q - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 324 and 432?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.041 (b) -5 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*j - 43 + 28*j + 2*j)*(0 + 1 - 2)*(3 - 1 + 0).\nAnswer: 2*j + 86","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 2*c = 9710. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 108 - 752\/7. Let p be 12\/8 - (-9)\/(-2). Let t be 78\/(-24) - p\/1. Which is the nearest to 1? (a) 4 (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 230886 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**5\/4 - 2267*r**4\/4 + 67341*r**3\/2 - 195217*r**2\/2 + 385895*r\/4 - 127875\/4 = 0.\nAnswer: -2325, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*x + 100*x + 88 = 50*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -18. Let t = u + 4. Suppose -2*i + 113 = -5*z, t*i - 3*z - 273 = -2*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 6. Let j be p(11). Suppose 4*l - 8 = -j*n, -5*n + 4*l = 9 - 41. Suppose -56 + 8 = -n*g. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51525 (base 12) to base 5.\nAnswer: -11344112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1549, -2756, -3969, -5182, -6389, -7584, -8761, -9914?\nAnswer: -11037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39391 = 73*p - 35359 - 322954. What is the thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-11 - (15 + -14)) + -7\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87030017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -30 + 14 + 7 + -3 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 9*a**2 + 7*a. Let y(o) = -o**3 + 5*o**2 - 4*o. Let c(g) = g**3 + 8*g**2 + 5*g - 10. Let b be c(-7). Give b*s(d) + 7*y(d).\nAnswer: d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 2:59 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, j: 4, r: 3, k: 1, w: 4}. What is prob of sequence wv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -176*v**5\/5 + 5309*v**2\/2 - 4330. Find the second derivative of u(r) wrt r.\nAnswer: -2112*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 205792*v - 63. Let n be a(19). Suppose 3*u - 4*u = -5*m + n, u + 3*m = -3910009. What is u rounded to the nearest 100000?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 734047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*z - 104*z = 9*v + 50, 3*z - 70 = 11*v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 659 - 659. Solve -2*x = -2, -5*d + i*d - 5*x = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f + 2. Let p be l(1). Sort -2, p, -3.\nAnswer: -3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -0.3. Let p = -0.3 + q. Let r = 317.2 + -317. What is the nearest to p in r, 2\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3944, -4162, -4380, -4598, -4816?\nAnswer: -5034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 539494 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -772*m + 378*m + 0 + 378*m + 0.\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -170950 rounded to the nearest one thousand?\nAnswer: -171000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104 (base 5) to base 14.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7656500 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 2*x - 41 = k, 2*k = -2. Suppose 2*t - x = 0, -4*w - t = t - 72. Suppose 167 = w*d - 15*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 101 = -27. Let u = x + 49. What is the third derivative of u*s**2 + 8 - 8 - s**2 - 8*s**5 wrt s?\nAnswer: -480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -222062651?\nAnswer: 222062650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 12 = -3. Suppose -4*x = 0, 2*b - b - 3*x - 1 = 0. Suppose s = 2*t + b. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x**3 + 8*x**2 + 6*x. Let b be -3 - -1 - (-1 + 1). Let g(u) = -13*u**3 - 25*u**2 - 19*u. Let l(o) = b*g(o) - 7*c(o). Factor l(d).\nAnswer: -2*d*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -666 + 667. Suppose 2*y + 2*v - 18 = 0, 4*v = -y + k + 17. Let a(q) = -q**2 + 7*q + 2. What is a(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 + 58.43. Let m = 0.73 - u. Let q be -3*(-8)\/6 + -1. Which is the third biggest value? (a) q (b) -5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + 119*p - 1200. Let q be o(9). Let r be 2\/(-8) + 26\/8. What is the highest common divisor of r and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/125250 and -14\/6199875?\nAnswer: 12399750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.10596 + 1130.78404. What is j rounded to the nearest ten?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1208? (a) 3\/4 (b) -2\/15 (c) -0.2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101 by -1.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 + 0)*1\/((-5)\/2). Suppose 2*u - s = 3*s + 626, -c*u + 1272 = -3*s. List the prime factors of u.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69\/(-276))\/((-4)\/(-944)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -5166.\nAnswer: -5165.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35152 by 2367.\nAnswer: 35152\/2367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (441 - 205 - 205)*(-2*g + 4*g + 4*g)*(2*g - g - 2*g) in the form q*g + p*g**2 + x and give p.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 204743, -67, -4.\nAnswer: -67, -4, -2, 204743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2967759 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 403005305 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w - 20. Let d(z) = -3020*z**2 + 1013*z**2 + 1008*z**2 + 1042*z**2. Calculate v(d(f)).\nAnswer: 43*f**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6213 or -6202?\nAnswer: -6213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4937 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(624)*-1 + sqrt(624) - sqrt(624))*-5 + sqrt(624))\/(sqrt(96)\/sqrt(72) + sqrt(12)))\/(sqrt(100)*-4 + sqrt(200)\/sqrt(2) + sqrt(4))*6.\nAnswer: -27*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -10*j + 10. What is h(6)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -1*sqrt(125) + 2 + 2)*6)**2 + 5.\nAnswer: -1440*sqrt(5) + 5081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -692 + 609. Let h = d - -117. Calculate the greatest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**3\/3 - 2*g**2 - g + 1. Let q(k) = 8*k + 61. Let m be q(16). Let w = m + -194. Give l(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5925)\/(-225) + 4\/(-12))*-1?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153180 a multiple of 1990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (9 + -3) - -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 4. Let q be t(8). Calculate the common denominator of 47\/6 and (-237)\/q + (-3)\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6529.466108059 - 14.\nAnswer: 6515.466108059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88333218 and 237?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - a - 2. Let m be f(-2). Let r = -5 - m. Let k = -17\/49 + 3\/49. What is the third smallest value in -1\/2, r, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 0*b**3 - 2*b**3 + 3 + 6*b - 9. Let h(d) = -4*d**3 + 11*d - 11. Give 6*h(x) - 11*r(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 729707101.\nAnswer: 47, 15525683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 1112400 = -4*u, 3*u + 1483200 = -4*s - 0*u. Round s to the nearest 10000.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**4)\/((v\/(v**(-10)*v))\/v))**13*(v*v**13*v**(-14\/9))**(-26\/5) assuming v is positive.\nAnswer: v**(-9932\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-1))\/o**7)\/(((o\/((o\/(o*o**(-3)))\/o)*o)\/o)\/o**3))**(1\/5) assuming o is positive.\nAnswer: o**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 10*o**2 + 4*o - 12. Suppose 68 = 9*b - 5*b. Let w = b - 26. What is the tens digit of j(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**4 + 12*i**3 - 117*i - 311. Let f(q) = 2*q**3 + q + 2. Let l(u) = -a(u) + 6*f(u). Differentiate l(k) with respect to k.\nAnswer: 8*k**3 + 123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3981.794 tonnes in grams?\nAnswer: 3981794000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/3)\/(w*w**(1\/6)*w*w)*w**(-2)*w**20 assuming w is positive.\nAnswer: w**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**3 - 3*z**3 + 2*z**3 - 3*z**3 + 6*z - 6*z + (-2 + 2 - z**2)*(8*z + 9 - 9) - z + z + z**3.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(6\/(-96)*4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 131584 and 5349712.\nAnswer: 171190784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y**3 + 1526 - 1526 + y as a + k*y**2 + w*y**3 + i*y and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77452497*m**3*q**3 + 2496*m**2*q - 2839*m*q**3 wrt m?\nAnswer: -464714982*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1\/(-2))\/(1\/14)*76676\/(-33009018).\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1647 = 95*w - 6849 - 6102 + 2279 for w.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + -2 + 12 - 1. List the prime factors of 2\/w + (-64)\/(-36).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**4\/26 + 112*v**3\/39 - 699*v**2\/13 - 1512*v\/13 - 1914. Solve t(r) = 0.\nAnswer: -1, 21, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 6*o**2 + 218*o - 412. Calculate h(16).\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 10) to base 14\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -750 take away -0.032?\nAnswer: -749.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = 3. Suppose 0 = d*y + 16. Let n be (-115)\/15 - (-224)\/84. Which is the third biggest value? (a) y (b) 1\/2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0095 minus -0.12?\nAnswer: 0.1105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8119 divided by -1\nAnswer: -8119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 40, 70, 98, 124, 148, 170, 190?\n\"Answer: -a**2 + 33*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (222\/(-518) + (-41)\/(-14))*(-252)\/(-35)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - -1*(0 + sqrt(98)) - sqrt(98))**2 + (sqrt(200)\/sqrt(4)*-2)**2.\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5834*g + 59664. Calculate n(-10).\nAnswer: 1324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -3 (b) -4\/9 (c) -1\/4 (d) -293\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 5*l + 30, -3*l + 9 + 4 = 5*q. Let s(i) be the first derivative of q + 1\/6*i**2 + 1\/9*i**3 - 2\/3*i. Solve s(c) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 17*l**4\/2 - l**3\/3 + l**2. Let a be t(5). What is the common denominator of a\/(-84) + 6\/21 and 101\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*(sqrt(160)\/sqrt(490))\/sqrt(8).\nAnswer: -sqrt(2)\/7 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.6 + 2.1. Let q = -0.7 - -1. Let y = q + -0.3. What is the closest to y in i, -2\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = f - 0*f, -3*b - 2*f + 20 = 0. Let r be b\/(-4 - (-4)\/2). Let m(n) = -n**2 - 6*n + 4. What is the units digit of m(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45.104 + -42. Let q = -3.3 + c. Let o = 0.004 - q. What is the closest to 0.2 in -0.4, 0.025, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*c - 64*c - 153. Let o = 357 + -354. Sort o, 5, c in increasing order.\nAnswer: c, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13670 + -13554. Put 13, -5, -2, n in descending order.\nAnswer: n, 13, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3170*n**2 - 42*n + 40. What is the ten thousands digit of k(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299144?\nAnswer: 2, 61, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 67*i**2 - 193*i + 90. Suppose 2*w = -w + 465. What is the remainder when w is divided by b(64)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*j - 22*j - 3*j + 11*j.\nAnswer: -74*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-621 - 622 - 848*y + 1244)*((-3*y - 3*y + 7*y)*(-1 + 1 + 2*y) + (2*y - 2*y + 4*y)*(-y + 2*y + y)) in the form w*y**3 + f + i*y + t*y**2 and give w.\nAnswer: -8480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/144 and 34\/3.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from yylyvxly.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5796\/(-2457) + 490\/210?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128183 > 128158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(1\/19))**(-11))**38)**(18\/7))**(-2\/61) assuming s is positive.\nAnswer: s**(792\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570499661275 less than 0.3?\nAnswer: -1570499661274.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mffn when four letters picked without replacement from {n: 2, f: 3, e: 5, m: 3}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 13*m**2 + 40*m + 335. Give v(-14).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -4 - (3 + -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.69863492 to 4 dps.\nAnswer: 7.6986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -392032, 2\/15, 1.1.\nAnswer: -392032, -8, 2\/15, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 n, and 1 f when three letters picked without replacement from fnhhf.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 488 and 149816?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(66)\/(3*sqrt(12)))\/((-2*(sqrt(6)*1 + sqrt(6)))\/((2*sqrt(363) - sqrt(363)) + sqrt(363) - sqrt(3))))**2.\nAnswer: 539\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.4. Let g be (-43)\/9 + (-4)\/18. Let o = 1.2 + 0.8. Sort o, g, p in ascending order.\nAnswer: g, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11605, 23699, 35793, 47887, 59981, 72075?\n\"Answer: 12094*f - 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 4*o**2 + 2*o**2)*(-5 + 3 + 4) - 5*o - 3*o**2 + 5*o + 4 - 4 + 2*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 59926*f + 59924.\nAnswer: 2*(f + 1)*(f + 29962)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -582, -1086, -1514, -1860, -2118, -2282?\n\"Answer: y**3 + 32*y**2 - 607*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 934715 to the power of 1\/2, to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*-1*(-9)\/(-9)*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 13 + 33 = 0. What is the highest common factor of 6 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22.26 + 22. Let q = n - -0.2587. What is q rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 13 = -3*z. Let o = 2 + z. Let y(g) = -g**3 - 8*g**2 + 9*g + 3. Let v be y(o). Solve -v*s = -4*s - 5*r - 5, 20 = -4*s - 4*r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -17*u**2 - 7*u + 175. Let q(f) = 9*f**2 + 4*f - 100. Let x(a) = 7*q(a) + 4*s(a). Let p(c) = 53*c. Calculate x(p(n)).\nAnswer: -14045*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (9 - 4) - 18 - -20.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eepeppppppppppeppe. Give prob of sequence eep.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14358\/13 (b) 0 (c) -2\/9 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 0.2 (c) 52 (d) -2 (e) 35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -114 - -129. Let i = 65 - 35. Calculate the greatest common divisor of i and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3. Let b(g) = 4*g + 7. Let z be b(-5). Calculate the remainder when (z - s)*(2 + -4) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -296038 less than or equal to -294992?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 64 (b) 4\/5 (c) -0.6 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*d**3 - 3*d**3 + 3*d**3)*(-4*d + 4*d - 2*d)*(-3 + 11 + 1)*(d - 5*d + 2*d) + 0*d**5 + 0*d**5 + 2*d**5.\nAnswer: 290*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 0.794004\nAnswer: -0.4764024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.165? (a) 1 (b) -3\/2 (c) -364 (d) -5 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + sqrt(99) + sqrt(99)*-2*-2 - sqrt(88)\/((1*sqrt(8) + sqrt(8))*2)) + ((sqrt(1331) + -1)*2 - ((sqrt(1331)*2 - sqrt(1331)) + 3))**2 + 3.\nAnswer: -369*sqrt(11)\/4 + 1359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -45803.\nAnswer: -3\/45803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -17. Let y be 2\/2*(r - -8). Let p = y - -2. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000256532 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-8)\/f)\/f)\/(f\/f**(-2\/23))*(f*f**(-1\/2))**(-35) assuming f is positive.\nAnswer: f**(-1315\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 8\/17, -645?\nAnswer: -645","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -16 in decreasing order.\nAnswer: 4, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*1*5\/80*8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 (base 8) in base 14?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16293656 and -39.\nAnswer: 16293617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 47971570 rounded to the nearest 1000000?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.3 (c) -2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28509 or -30195?\nAnswer: -28509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588 = 2*n + 2*n. Let y = n - 135. Solve -8 = 5*u - 5*t + y, -4*t = -8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1350 and 60?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-4)*(63\/(-7))\/(-198).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 15.4239ug?\nAnswer: 0.0000000000154239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -3. Let u(y) = y**3 + 4*y**2 + 42*y + 1315. Let v be u(-11). Solve -5*q - v = n*i + 3, 2*i + 6 = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/4*4 + 6. Differentiate -78 + 3*w**4 + 20*w**2 - 12*w**2 - u - 59 + 33 with respect to w.\nAnswer: 12*w**3 + 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6*i**2 + 20*i + 32. Let a(n) = -14*n**2 + 51*n + 64. What is 2*a(w) - 5*c(w)?\nAnswer: 2*w**2 + 2*w - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z + 2*z + (-6*z - 11*z + 21*z)*(-3 - 2 - 1))*(z + 0*z + z).\nAnswer: -46*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -29. What is the remainder when 101 is divided by ((-52)\/s)\/((-3)\/(-9))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, -2, -40 in ascending order.\nAnswer: -40, -2, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)\/(sqrt(48)\/sqrt(6)))\/sqrt(2) + 2.\nAnswer: 2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.9811 to 1 decimal place.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/38 or 1\/101?\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/(-4*(-9)\/768). Let k = -483 + s. What is the second biggest value in 4, 0.5, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 1:50 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1645, -1687, -1729, -1771?\n\"Answer: -42*k - 1603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n + 0*n + 5 - 6. Suppose 0 = 5*z - 3*g - 28 + 7, g = -5*z + 33. Let u be h(z). Solve 4*y + 0*w = w + u, 5*y - 5*w = 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -3\/58 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30.9 - -49112.\nAnswer: 49081.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*o - 42*o - 26*o - 26*o.\nAnswer: -119*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2231443133 (base 5) to base 13.\nAnswer: -1045529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5 + -2. Let z = -4 - -2. Let y = 1 - z. What is the third smallest value in y, 0.5, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 3 = -3*h, 81*a - 77*a = -h + 17 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 1 - 7 + 6*a**2.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -26070, 0.6 in descending order.\nAnswer: 32, 0.6, -26070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - a + 18 - 33 + 18. What is g(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2325512 - -7106764573\/3056. Calculate the common denominator of h and 103\/20.\nAnswer: 15280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124192 by 31048.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-14 - -2) + 57 + -20.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*q - 4*h, 5*q - 3*h = 7*q - 30. Suppose -4*c = q, -c = -2*g - 0*c + 13. Solve 4*r + 1 = j, -g*r - 15 = 3*j - 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8802 and 227124.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/1 + (56 - 56). Let o(h) = -h**3 + 7*h**2 + 19*h + 3. What is o(b)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -715.39747 rounded to 1 dp?\nAnswer: -715.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - (-1 + -2))*80\/(-19 + 3). Solve u*m = 120 - 50 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 9*h - 209. Let t be v(-22). Suppose -t*i = -71*i. Solve 0 = 2*y - 4*n - 2, i*y - 16 = -4*y + 2*n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 10*l + l - l**2 - 8 + 2*l**2 - 6*l. What is the least common multiple of k(-7) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hizppbpiphbzh. Give prob of picking 1 b, 1 p, 1 z, and 1 i.\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**2 - 109*g + 41. What is the tens digit of b(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*n + 4*c - 35, -4*n = -4*c - 60. Suppose -2*r = -2*l + 4*l - 34, -5*l = 3*r - 45. What is the greatest common factor of r and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**6*w + g**5*w + 13*g**3*w - 149*g**2*w wrt g.\nAnswer: 120*g**3*w + 60*g**2*w + 78*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 223112982*i - 1529190700 wrt i.\nAnswer: 223112982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m - 10 + 6*m**2 - 10*m - 7*m**2. Let i = -284 + 272. Let f be u(i). Solve -5*c + f*c = -3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9330 = -9*x - 1131. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 305, 251, 163, 41, -115?\n\"Answer: -17*o**2 - 3*o + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, w: 4, c: 5, e: 1}. Give prob of picking 1 t and 2 w.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 11:37 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 - 3*o - 4. Let b be g(-3). Let w(a) = 1 - 29*a + 60*a - b*a. Let c be w(-3). Solve 4*i - 16 = c*h, 0 = -5*i + i + 5*h + 18 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + (-77)\/18)*(-4)\/(-10).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**3\/7 + 40398*a**2\/7 - 2295216*a + 226006816 = 0?\nAnswer: -20591, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - (79 + -87)) + (-5 + 4 - (48 - -1))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -274*k + 1. Let v be i(-1). Let l = 105 + -80. Calculate the greatest common factor of v and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkxqxqbqqqxxqkkkqk. Give prob of picking 1 x and 2 q.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002145432 to five decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-15) - (-985)\/225) + 2\/9. Solve q*b - 22 = 3*l, -4*l - b - 26 = -6*b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10285\/(-595) - 16*10\/(-10)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 - 196*c - 1486. What is l(105)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 3. Suppose l + 4 = 8*t - 9*t, 2*t = l - 5. Put 2, 5, s, t in decreasing order.\nAnswer: 5, s, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -575430*s**2 + 2*s + 252988 wrt s.\nAnswer: -1150860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10302312 (base 4) to base 7.\nAnswer: -111153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 63, 100, 151, 222, 319, 448, 615?\n\"Answer: m**3 + m**2 + 27*m + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a31504 + 5?\nAnswer: -1a314aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 36.783 * -75.1\nAnswer: -2762.4033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84 - 77. Suppose 8*m = b*m + 11. Are 11 and m unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 + 55.3. Let p = u + -61. Let f = 6.9999959 + p. What is f rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-8) + 0)*(-20 - -41 - 17)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 792 = -5*h. Suppose -4*x - h + 36 = 0. Let r be ((-8)\/x)\/((-1)\/(-15)). Solve 3 = -2*k + r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -270 bigger than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 486 and 144.\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 160 + (-77 - 73) - 7\/((-14)\/80)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**2 - 6. Let m(z) be the first derivative of 4\/3*z**3 - 5*z + 0*z**2 + 70. Give -3*c(u) + 4*m(u).\nAnswer: u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h*k**3*o + 231048036*h*k**3 - 273*h*k**2 - h*k*o + 2*k**2*o + 4*k*o + k - 20*o wrt k?\nAnswer: 6*h*o + 1386288216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 36 - (-2 - -3). Suppose 0*x + 26 = -x. Let z = x - u. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - v - 40, -14*i + 18*i = -7*i + 4*v + 88 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49301 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = h. What is the derivative of 4 - h - 4*o**3 + 4 + 2 wrt o?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 9*j + 1. Suppose -2*s - 5*r = 47, -5 = s + r + 11. Is m(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*n - 2*n = 60, -3*n + 20 = -4*m. Is -2*-26*(-2)\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.89061242 to 1 dp.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 35 - 88 = 8*w - 70*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 7) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*w = 6 - 4, 0 = -6*w + 30. Suppose -i = -1 - 25. Calculate the greatest common factor of a and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 4*j - 29. Let c be y(-5). Solve a + 4 = 2*b + 2*b, 3*a = -2*b + c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8\/27 - -1\/27. What is the fourth biggest value in -5, r, -0.4, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -100?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -21, -2.\nAnswer: -21, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/170 and -163\/30.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3728936663 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -19*z + 5*z**2 - 6*z**2 + 17*z. Let f = 22 - 15. Let j = 5 - f. Give v(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25, -54, -85, -118?\n\"Answer: -t**2 - 26*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -70211, 0.5, -6, 0, 1\/7 in descending order.\nAnswer: 0.5, 1\/7, 0.04, 0, -6, -70211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from {d: 12, p: 3, v: 2}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*3\/12*(-9)\/(-18)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4 - 19*b - 23*b + 1. What are the prime factors of c(-7)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 1. Let g be l(5). Let o = -4 + g. Let d(x) = 2 - 1 - x**o - 3*x**2 - 3*x + 3*x**2. Determine d(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845 is divided by -1 - (-155)\/186 - 1*(-518)\/12.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -125, -151, -177, -203, -229?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 v when four letters picked without replacement from vjjjjvjjjjvvvj.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -2\/15, -0.62, 1\/18, 7\/31, 1\/2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 312*t**2 - 580*t + 9. Let l(v) = 936*v**2 - 1740*v + 24. Let h(w) = 3*l(w) - 8*y(w). Find the second derivative of h(d) wrt d.\nAnswer: 624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a + 50566 + 41045 = 0. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -104.\nAnswer: 104.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1984\/(-372))\/(10\/(150\/1)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-135)\/10 + 11)*(-10 - (-22 + 14)). Let d = -0.3 + -0.7. Let s = -3 - -13. What is the nearest to 1 in s, d, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -6, 4, 6, 5, 204.98, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29739*r**2 + 419 + 29739*r**2 - 792*r**3 with respect to r.\nAnswer: -2376*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 40, 690, 0 in decreasing order.\nAnswer: 690, 40, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3976, 3330, 1584, -1808, -7392, -15714?\n\"Answer: -91*p**3 - 4*p**2 + 3*p + 4068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (48 + -25 - -11)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4880, -4894, -4908?\nAnswer: -4922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26486*t - 25788*t - 36296 for t.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 659428296 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*q + 264 - 373 = 507 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23163 by -7.\nAnswer: 3309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - ((-14 - -11) + -4)) + (66 - (0 + -10)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -25090 >= 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from iiiiiiiivvnigi.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 3:31 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4 + 0*z + z**3 - 3*z + 0*z**2 - 3*z**2 + 0. Let x(c) be the second derivative of -c**5\/5 - c**3\/6 - c**2 - c. Let l be x(-1). Calculate o(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/16*1*-8)\/(4*(-31)\/(-4340))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*l + 70, 25 = 4*q - 2*q - l. Let c(a) = a**3 - 10*a**2 - 12*a + 14. Let u be c(q). Calculate the highest common factor of 21 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 27 = -a, 0 = -3*v - 5*a + a + 30. Let u be -4*(-2)\/8*29. Suppose 5*q = 2*s - 23, -5*s + 2*q = -q - u. Solve -s*p = -p + v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/2)\/(3951\/(-878))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -35. Suppose 4*z - 8*z - 16 = s. Let m(i) = -5*i - 4. Let f(p) = 16*p + 12. Let b(d) = 3*f(d) + 10*m(d). What is b(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27655, -27654, -27653, -27652, -27651, -27650?\nAnswer: -27649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-44)\/(-12)*3*1. Let t = m + -6. Solve -5*w = 4*d - t, 3*d + 0*d = -2*w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 31.3. Let b = h + -1.2. Let w = -3.9 - b. Sort w, 4, 1.\nAnswer: w, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21286 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = -4*u + 2*v + 12, 3*u - 5*v = 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-10))\/((-11)\/(-5)). Suppose 3*y - 24*l + 31 = -19*l, 2*l - 16 = 3*y. Which is the second smallest value? (a) d (b) 0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 - 29 - (1 + (11 - 5)) - -5?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5, 20, 35, 50, 65, 80?\n\"Answer: 15*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 - 2*a**2 - 2*a + 1. Let n(j) = j + 1. Let l be n(1). Let q(p) = 10*p**3 + 11*p**2 + 10*p - 6. Give l*q(r) + 11*x(r).\nAnswer: -2*r**3 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0346 + -102.8346. Let r = -102.8000561 - m. Round r to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-222)\/370 - (-1562)\/2970?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 5164.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 + 10*w - 5. Is 3 a factor of m(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 + 36 - (0 - (5 + -35 - 1))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14599 and -1.415655.\nAnswer: -14600.415655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 2:58 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/3))**40)**(9\/7)\/((z\/(z**(1\/4)\/z))**(2\/13))**(2\/135) assuming z is positive.\nAnswer: z**(210551\/12285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12.2*129\nAnswer: -1573.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 3*x - 46. Suppose 0 = 53*y - 106 - 159. Calculate h(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 16 = 3*f. Let z = -5 + f. Solve 0 = 2*k + 5*i - 0 - 2, 0 = z*k - 3*i - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**3 - d - 1. Let b(r) = 10*r**3 + 25*r**2 + 47*r + 23. Let q(p) = -b(p) + 3*h(p). What is q(-23)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114065609 is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + (sqrt(153) - (sqrt(153) + -2*sqrt(153)*5)) + 4*sqrt(153)*2)\/(3*sqrt(81) - sqrt(9) - (sqrt(9) - -1*sqrt(144))).\nAnswer: 19*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 10*c**3 + 2*c**2 + 20*c. Let g(d) = 63 - 21*d - 3*d**2 - 11*d**3 - 63. Let o(x) = -2*g(x) - 3*h(x). What is the second derivative of o(i) wrt i?\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 298097171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 149*l**3*n - 3*l**3 + 19133*l**2*n**2 + 56*l**2 - 10774 wrt n?\nAnswer: 149*l**3 + 38266*l**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - m + 8. Let b be g(0). Let i = -2 - b. Let z(l) = l**3 + 11*l**2 + 10*l + 3. Let f be z(i). Solve f*k + 0 + 9 = -4*j, 2*k + 7 = -3*j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + 18\/4 - -1 and ((-1)\/30)\/(6\/(-414))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (3 - -9) - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - x - 1. Let n(m) = -m**2 + 1. Let v = 24 + -22. Give v*r(o) + 3*n(o).\nAnswer: o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, -12, -1\/3273, 0.1 in decreasing order.\nAnswer: 0.1, -1\/3273, -0.12, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2185119.6 + 2174113.667. Let u = m + 11011. Let l = u - 0.057. Round l to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w + 58. Calculate the remainder when i(8) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -14. Let l(w) = w**2 + 4*w - 1. What is the remainder when u is divided by l(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 1 - 11. Let b be 10*o*(-2)\/10. Find the third derivative of -4*i**5 - 2*i**2 - 6*i**5 + b*i**5 - 3*i**2 wrt i.\nAnswer: -360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v + 7 - 4*v**2 + v + 5*v**2 to d*v + j + q*v**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (55\/(-15))\/(1\/(-6)). Let o = -20 + u. Suppose o*f + f = 0. Let a(d) = d**2 - 8. Calculate a(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9916534 to the power of 1\/3, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-120) + (-145)\/(-50).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109675 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 203*o**4 + 4*o**3 - 4*o**2 - 83484*o?\nAnswer: 2436*o**2 + 24*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 96*v - 14. Suppose 6*m - 6 = 6. Does 21 divide h(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w + w**2 + 7*w**2 - w**3 + 1 + 2*w**2 + 6. Is y(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30499*y**3 - 26*y + 13*y + 6*y + 7*y.\nAnswer: -30499*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/6 (b) 0.0243 (c) -3\/4 (d) -56\/23 (e) 0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**4\/5 - 836*t**3\/5 - 13024*t**2\/5 - 64576*t\/5 - 102912\/5 = 0?\nAnswer: -402, -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)*p*p)**(-46)*(p**(-1\/2))**(-2\/109)*(p**(-2\/7)\/((p\/(p*p*p\/p**(-2\/3)))\/p))\/(p**(-1\/2)\/(p*p**(-1\/7)*p)) assuming p is positive.\nAnswer: p**(-184277\/4578)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150335.\nAnswer: 5, 107, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**2 - i**2 - 2*i**2 + 2*i)*((0 + 1 - 3)*(0*i + i - 2*i) + (0 + 0 - i)*(-2 + 3 - 3)) to k*i**3 + n + b*i**2 + m*i and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3207, -2946, -2681, -2412, -2139, -1862, -1581?\n\"Answer: 2*z**2 + 255*z - 3464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106*z**3 - 28*z**3 + 9*z**3)*((0 - 4 + 2)*(3 - 2 - 2) + 5 - 1 - 2).\nAnswer: -500*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.20177 - -0.05477. Let b = 4.2 + o. What is b rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - q**2 + 0*q**2. Let x(m) be the third derivative of -107*m**4\/8 - m**3\/6 + 39758*m**2. Calculate x(g(f)).\nAnswer: 642*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -590*j*s**5 + 2*j*s**4 + 457*j*s**2 - 5*j wrt s?\nAnswer: -35400*j*s**2 + 48*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - -27. Suppose -6*t + 6 = -o. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)*b**6*b)**(-2\/37) assuming b is positive.\nAnswer: b**(-6\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 2*r**2 - 2*r + 1. Let d be b(-2). Suppose 0 = 4*c + 26*c - 300. Suppose 0 = c*a - d*a - 260. Calculate the remainder when a is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402736 = -2401*k - 186646 for k.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(75) - (sqrt(75) + -2 + sqrt(75))) + -4*sqrt(75) + -2)*2)**2*-6.\nAnswer: -45024 - 1200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -722 + -35. Let h = -754 - x. What is the nearest to 0.02 in h, -2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.324, 0.1, 6?\nAnswer: -0.324","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-4)*(-2)\/3. Let p = 0.04 + 1.96. Let i = p + -5. Put -2\/7, i, v in decreasing order.\nAnswer: v, -2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 - 2*r + 1. Determine m(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1675 not equal to -1684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10544 - -10551. Solve 10*y - m*y + 13 = q, -q = -5*y - 19 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n + 5*j - 8, -n + 4 = 3*j. Solve -6*u**4 + 1 - n + 14*u**5 - 11*u**5 = 0 for u.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1920189 is divided by 292?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 170*p**2 - 3*p**3 + 162*p**2 + 4 - 3 + 10 as u + t*p**2 + s*p**3 + b*p and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2230400?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -5*v**4\/4 + v**3\/3 + 5341*v**2. Let d(g) = -15*g + 1. Determine 4*a(q) - 9*d(q).\nAnswer: 15*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 19*y - 7. Does 11 divide o(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 + 13*s - 4. Let x be l(6). Suppose 6*j = x*j + 24. Suppose 0*b = -3*b - j. Let d(t) = -t**2 - 3*t - 2. What is d(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, y: 1, p: 1, v: 1, w: 1}. Give prob of sequence vy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-227)\/2 + 15\/(-10). Let y = m - -50. Let d = y - -118. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 11:00 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1072, -561, -50, 461?\nAnswer: 972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from xxxjxjxxxjx?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 1. Let m(g) be the second derivative of -3*g**3\/2 + 2*g**2 - 5*g. Give 2*m(s) + 10*t(s).\nAnswer: -8*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3640 and 16835.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 68883233*n + 93688236?\nAnswer: 68883233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126829793 to the power of 1\/5, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**4 - 81288*l**3 - 412902384*l**2 + 826129952*l.\nAnswer: -4*l*(l - 2)*(l + 10162)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -148.8, 16\/5, 0.03, 1\/11?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260461439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/130*((-1)\/12 + (-30)\/120)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11240 - 1223?\nAnswer: 10012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*n + 6, -2*t + 4 = 3*n - 5. Suppose 3*j = -15, -n*v - v - 4*j - 12 = 0. Suppose 0 = r - v + 1. What is the smallest common multiple of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a + 75. Let n(x) = -x - 39. Let j(t) = -6*l(t) - 11*n(t). Let z = 19 - 30. Is 8 a factor of j(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -38, -343, -1200, -2885, -5674, -9843, -15668?\n\"Answer: -46*p**3 + 17*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3297 and 7?\nAnswer: 3297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 12*v - 1\/4*v**4 + 0 + 0*v**3 + 2*v**2. What is the derivative of d(t) wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (0 + (2 - 3)). Let u = 243.8 + -268. Let c = u + 24. Put c, t, 0 in descending order.\nAnswer: t, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7797, -15580, -23603, -31986, -40849, -50312, -60495, -71518?\nAnswer: -83501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33195697 and 1618?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002823 to four dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 2*d**2 - 2*d)*(-18*d**2 - 367*d + 367*d).\nAnswer: 36*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47.1 + 72. Let u = -24.88956 + m. Round u to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 666*f**2 - 152*f - 2108. Is a(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3297 * -228.\nAnswer: -751716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4ab + b?\nAnswer: -4a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*-6*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.475 + 0.50652. Let i = 0.028 + w. Let f = -0.06 + i. Round f to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**3\/6 - 5*u**2\/2 + u. Determine t(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -670, -1, -440.\nAnswer: -670, -440, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((225\/(-10))\/(-5))\/(-36*(-559)\/(-3096)).\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/((-816)\/(-357)))\/(-2). Let y = 926473\/65 - 14253. Let j = 3\/13 - y. Which is the smallest value? (a) -0.3 (b) 1\/7 (c) j (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t = 35 + 17. Suppose -u + o + 17 = -t, -4*u + 83 = -3*o. Calculate the remainder when u is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*g - 32 = -3*g, 2*l = g - 47. Let j = l + 83\/4. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45897574 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10820, 11122, 11640, 12386, 13372?\n\"Answer: 2*v**3 + 96*v**2 + 10722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*f + 11370 = -45*f. List the prime factors of f.\nAnswer: 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*50.56479.\nAnswer: -50.56479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -786140 (base 10) in base 13?\nAnswer: -216a94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = z. Let m = -2 + z. Let a(y) = y**3 + y**2 - y. Let h(v) = -1. Let w(r) = m*a(r) - 2*h(r). Determine w(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 186, 469, 876, 1407?\nAnswer: 2062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, m: 4, v: 7}. Give prob of sequence wvw.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0195 * 0.077.\nAnswer: 0.0015015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -40 - 19 + 4*r + 2*r + 17. Let u be w(-8). Is -90 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**2\/2 + 2*a - 465. Let c(y) = 1. Calculate 5*c(n) - 4*s(n).\nAnswer: 4*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26158\/9 - -2905. What is the common denominator of n and -11\/246?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*m + 1652, 428*v - 431*v = -m - 2491. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 - -130. Is h not equal to 90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y - 20. Sort -5, y, 2 in descending order.\nAnswer: y, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*a - 448 = 71*a + 2272 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 22*a**3 + 2*a**2 + 31*a + 2. Let s(k) = -108*k**3 - 11*k**2 - 155*k - 11. Let p(t) = -33*f(t) - 6*s(t). What is the second derivative of p(u) wrt u?\nAnswer: -468*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 94?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2227422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 11:55 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183769 is divided by 18365.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 443 - 66. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1387*m**2 + 175*m - 1377*m**2 + 2777*m**2 - 15*m as l*m**2 + v*m + y and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1135209, -1135233, -1135255, -1135275, -1135293, -1135309?\nAnswer: -1135323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1216 and 589?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -46. What is the nearest to -2 in -1\/3, x, -0.01?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdib when four letters picked without replacement from dddbididdd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 204842202 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -2*w + g, 5*w - 235 = -5*g - 20. Calculate the remainder when 104 is divided by w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**3 + 5*v**2 + 12*v - 7. Let y be c(-9). Let o be (-1)\/(y\/390 - -3). Find the common denominator of 77\/6 and o\/(-42) + 0\/(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, 3, -3019, 2, -1, -0.5, 2\/39?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/14 + (-1768)\/(-238).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011010 (base 2) in base 7?\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 51*g + 124 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 6:44 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in -5, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10138277 and 9.\nAnswer: 91244493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-4))\/(69 + -66). What is the nearest to z in -471\/10, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*z**3 + 850*z**3 - 481*z**3 - 174*z**3.\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j - 1. Let l = -16 + 15. Let k be (-1)\/(-2)*l*-12. Let u = k + -3. Give n(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/53 or -0.010525?\nAnswer: -0.010525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -6, 5, -247\/6, 22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 + 57 = -8*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4048 + 2482. Let j = z - -2309. Does 17 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 - 49 - 103*w**2)*(-16 + 14 + 7).\nAnswer: -515*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.6 - -3.1. Which is the nearest to -2\/3? (a) 4 (b) u (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4318, 6, 8, -2.\nAnswer: -2, 6, 8, 4318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o = -243. Let s = o - 76. Calculate the remainder when 83 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 2*s**2 - s + 6. Let t be b(-3). Let g be 1 + -1 + -1 - 2. Let z = t - g. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*w**2 + 2*d*w*z**3 + 21*d*w + 99*d*z**2 + d + 165*w**2*z**3 - w**2*z + 20*w**2 + 34*w + 2*z wrt w?\nAnswer: 4*d + 330*z**3 - 2*z + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 2*y**2 - 3*y + 6. Let j(u) = -u**3 + 3*u**2 - 4*u + 7. Let p(f) = -4*j(f) + 5*v(f). Factor p(w).\nAnswer: -(w - 1)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 + 3*s**4 - 3*s**4)*(444*s + 3 - 445*s - 7 + (-6 + 3 - 1)*((2 - 1 - 3)*(0*s + 3*s - s) + 2*s + s - s + 2*s - 5*s + 2*s)).\nAnswer: -11*s**5 + 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -6. Suppose -p + 4*q = -34, 3*q + 136 = h*p - 39. What is the remainder when p is divided by 65\/4 - (-2)\/(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16056 + 16055.9. Which is the closest to j? (a) -0.4 (b) 4 (c) -0.9 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33819221 divided by -6.\nAnswer: -33819221\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3522851 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**4\/8 - 21*u**2. Let i(v) = -23*v. Calculate i(o(r)).\nAnswer: -69*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97 + -7.09.\nAnswer: -104.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1573195897?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2498492\/133 + -18786. Find the common denominator of -34\/5 and q.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100474185 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 134 and 0.181.\nAnswer: 24.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/34, 6.1, 2.657?\nAnswer: 6.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*t + 5*b, 0 = 159*t - 162*t + 5*b + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2076)\/(-240) + (-14 - -4) - (-3)\/(-12).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -2*d - 2*w + 12, 2*d = -w + 22. Let l(h) = h**2 - 10*h + 9. Let v = 11 + -5. What is the remainder when l(d) is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-10)*(-53125)\/476. Let w = -75\/4 - v. Calculate the common denominator of w and -39\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyng when four letters picked without replacement from nnmtngyygn.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9664)\/(-6644) - 36\/44?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1425.5 - 23.5. Let b = s + -1401.997177. What is b rounded to 4 dps?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-7)\/112*(-144)\/30?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*g - 7 - 92 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.31280288 + -34.6089.\nAnswer: -33.29609712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-648)*-36)\/(2\/(-6)*-10).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 45699712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/(-54))\/(178\/45 - (357 + -353)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 + 18*f + 6. Let w(p) = -3*p**2 + 28*p + 10. Determine 8*d(m) - 5*w(m).\nAnswer: -m**2 + 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1014023 (base 5) to base 9.\nAnswer: 24885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 224 + -255 + (3 - (1 - 6))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.93 + 10.764. Round j to two dps.\nAnswer: 0.83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 + 126*w**2 + 128*w + 4. Let d be r(64). Sort d, 2, -9, 40, 1.\nAnswer: -9, 1, 2, d, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 11*p**2 + 4*p - 4. Is a(-5) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-384)\/(-20) - (-3)\/(-15). What is the greatest common factor of 76 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 2 - (3 - (4 - 4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38212932*s**4 + 3*s + 1498094 wrt s?\nAnswer: 458555184*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2423088?\nAnswer: 2, 3, 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - v - 7. Let y be j(8). Let m be (-4)\/(-14) + 231\/y. Solve -m*b = -f + 15, 4*b = -5*f + 2*f + 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 + 278*v - 773. Give l(-95).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/3 - 1816*h\/3 + 9856.\nAnswer: -2*(h - 16)*(h + 924)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -12*x + 1034. Calculate the lowest common multiple of x and 9.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -c20?\nAnswer: -c21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62070 and 15.\nAnswer: 62070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 1474*y - 1562. What is the units digit of x(28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 2*z**2 + z + 3. Let p(n) = -2*n**3 + 5*n**2 - 3*n - 7. Let g(r) = 7*j(r) + 3*p(r). Find q such that g(q) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 10:56 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1420398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 11 = 3*c + a, 0 = -4*c - 3*a + 48. Let u be 4*1 + (c - (1 + 6)). Solve 0*j + 2*j = u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4879*v. Let h(b) = 2*b**2. Calculate h(g(d)).\nAnswer: 47609282*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 102*(4 - 44\/(-8)). Suppose 2*c = z + 5*c - 191, -x = -5*z - c. Let g = z - 101. Is 25 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06336 - -9443.93664. Let t = s - 9445.0014. Let i = 1 + t. What is i rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * -0.05605.\nAnswer: 1.2331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddqdddqdd. Give prob of picking 2 d and 1 q.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23335473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/1103 + 2269\/9927. Which is the third biggest value? (a) 129 (b) 1 (c) 3 (d) 0.4 (e) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + y = -263, 3*d - 2*d - 3*y - 52 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-11))**(-1)*(b**(-2\/5))**(1\/34) assuming b is positive.\nAnswer: b**(934\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.03805 + -0.08295. Round g to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.046 (b) -5 (c) 176 (d) 4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -730b10 + 1?\nAnswer: -730b0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110274230 = 10*y + 1274230. Round y to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*z = 4*s - 15, -4*z - 14 = -2*s. Solve 2 = 3*b - s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14189598 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -8, -69, 2.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 9617*h + 6605*h + 190748 + 1334120 = 0 for h.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9120216 and 13680324.\nAnswer: 27360648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1541, 3080, 4619, 6158, 7697?\nAnswer: 9236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 - 2*z - 2. Let b be c(2). Determine f so that 0*f - 2*f - 3*f**b + 5*f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3793 divided by -7.\nAnswer: -3793\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 + 65 - 129 + 7*k.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-19)\/(-57)*63\/2 and -103\/176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13150665 by -55.\nAnswer: 239103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1359144 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*p - 9554 - 9524 + 43 = 0 for p.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -799, 19, 9 in decreasing order.\nAnswer: 19, 9, -799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13221 + 0?\nAnswer: -13221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00724040001 to 5 decimal places.\nAnswer: 0.00724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7225614514 to the power of 1\/2, to the nearest integer?\nAnswer: 85004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-12 - -12 - -9) - (-4 - -15).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 1335 - 1240. Is y a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 239*k + 1461. What is j(-6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12259060 is divided by 158.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8543, 18413, 28283, 38153?\n\"Answer: 9870*j - 1327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, l: 4, n: 3, h: 1, r: 4}. What is prob of picking 1 x and 1 n?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -28688*b**3 + 1141*b - 1141. Let n(v) = 151*v**3 - 6*v + 6. Calculate 6*l(t) + 1141*n(t).\nAnswer: 163*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-12)*f*f**2)**(36\/5) assuming f is positive.\nAnswer: f**(-324\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from qqbggugtggqg.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 9*r**3 - r**2 + 6*r - 12. What is p(2)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**2 + 2*o - 3. Let w be v(2). Let b = -6 - w. Suppose 0 = -b*n + 2*n + 9. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 9, -5.\nAnswer: -5, -2, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1955*-3.\nAnswer: 5865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 20. Suppose v = 22*o + 17 - 105. Solve 0 = o*t - 8*t - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 290*f**3 - 38910*f**2 + 453525*f - 1345305. Let r(b) = 31*b**3 - 4169*b**2 + 48592*b - 144140. Let m(h) = -8*d(h) + 75*r(h). Factor m(v).\nAnswer: 5*(v - 267)*(v - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -62048*l**2 - 599952*l**2 - 514*l + 1 + 513*l. Suppose n - k - 6 = 0, -11 = -n + 5*k + 15. Let p be f(n). Round p to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m + 11. Let g(f) = 17*f + 32. Let y(l) = -3*g(l) + 8*w(l). What is y(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f - 1. Let i be b(1). Suppose -i*y = 4 - 7. Let a(j) = 2*j**2 - j + 1. Let h be a(y). What is the third smallest value in -2\/11, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350 = -2*x - 352 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 202 - 104. What is the greatest common factor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - l = -20. Let d = -3 + 9. Suppose d = -3*g - 0*g. Sort l, g, 2.\nAnswer: l, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2. Let v(s) = -53*s**2 - 13*s - 3. Give v(m(o)).\nAnswer: -212*o**4 - 26*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + c = 2*c + 10, -5*r + 18 = -4*c. Suppose r*i - 9 + 5 = 0. Factor -20\/23*f + 2\/23*f**i + 50\/23.\nAnswer: 2*(f - 5)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(200) + -2 - sqrt(200)) + -5*sqrt(200)*-2 + -4)**2*-6.\nAnswer: -120486 + 10800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/3 - 6620*y\/3 - 535682\/3.\nAnswer: -2*(y + 83)*(y + 3227)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {u: 3, x: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 10) + (11 - 0 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 6*k + 4. Suppose k*w + 2 - 30 = 0. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-39)*3\/6. Which is the biggest value? (a) -0.1 (b) -1\/4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*t**2 - 41*t + 41*t + (-4*t + 5*t - 3*t)*(4 - 4 - t) - 2*t + 2*t + 2*t**2.\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -146, 19, -3, -5 in decreasing order.\nAnswer: 19, -3, -5, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*l = -3 + 20, 3*a + 12 = -3*l. Let s(p) = -4*p + 2. Let d(g) be the first derivative of 3*g**2\/2 - 2*g + 575. Determine a*s(i) - 6*d(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -143. List the prime factors of p.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1766 and 0.02.\nAnswer: 35.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*f - 5*b + 22 = 0, -2*f - 5*b + 31 = 0. What is y in -4*y**3 - 12 + f*y**3 - 12*y**2 - 7*y**3 + 32*y = 0?\nAnswer: -3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 10*y**2 + 4*y + 4. Let k be t(-2). Let d be 6\/k + 1\/2. Put -5, d, -2\/19 in descending order.\nAnswer: d, -2\/19, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80.48 - -1.48. Let h = n + 119. Let f = 42 - h. What is the second biggest value in f, -4, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*(-40)\/(-350) + (-4236)\/(-180) + (-4)\/30.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222122 (base 3) to base 15.\nAnswer: -32e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(304) + 1 + sqrt(2299))**2.\nAnswer: 54*sqrt(19) + 13852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000766 rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2249.\nAnswer: 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 8. Let w be y(7). Let r be w\/(-3) + (-14)\/(-3). Suppose k = -k - i + 10, -r*i = 2*k - 26. Which is the closest to 1\/2? (a) k (b) 0.5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(108) - (-1 + sqrt(108) + 0)) + -3*(sqrt(108) - (sqrt(108) + 1)) - (4 + -1 + sqrt(108))*2)**2.\nAnswer: 48*sqrt(3) + 440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.4 (c) -4.59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27440122 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 161390402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78433 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11280191*h**2 - 77587698.\nAnswer: 22560382*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7790, -15580, -23370, -31160, -38950, -46740?\n\"Answer: -7790*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1660, -3320, -4980, -6640?\n\"Answer: -1660*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-5) + 12\/(-20). Suppose u = s - 8 + 3. Let h(a) = s*a**2 - 2*a**2 - 2*a**2. Let z(b) = -2*b**2. Calculate h(z(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(1\/4)*c)\/(c*c**(-4\/5)\/c))**45\/((c**(-7)*c**1)\/(c**(1\/4)*c*c**(6\/5)*c)) assuming c is positive.\nAnswer: c**(1917\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, g: 1, i: 1, s: 1, n: 1, z: 1}. What is prob of sequence sz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-406)\/174*(-72)\/14. Solve f*r = -19 + 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24814197?\nAnswer: 3, 2757133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*s - 33*s - 20 = 0. Let x(q) = 1. Let p(i) = i**2 - 3*i - 9. Let b(z) = -p(z) - 6*x(z). What is b(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -474 divided by -79?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0)*(-126*r + 64*r + 95*r)*(-7*r**2 + 5*r**2 - 4*r**2) to the form o + p*r**2 + k*r + n*r**3 and give n.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -331, -725, -1269, -1957, -2783, -3741?\nAnswer: -4825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 20, -8, 1, 2 in increasing order.\nAnswer: -8, -4, 1, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/(-91) - 138\/(-14). Let o be t*(-2104999 - (0 + 1)). What is o rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -1\/7 (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(((m*m*m**0*m)\/m*m)\/m))\/m)\/m*m**(-1)\/m*(m**(1\/3))**(-6\/29)*(m**1\/m*m)**(-48)*(m**0\/m)**(10\/3) assuming m is positive.\nAnswer: m**(-4907\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-39)*429\/(-396).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -6797*t - 54325. Give m(-8).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -1 + -5 + sqrt(9)\/sqrt(3)*-1)*5.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/10 + (-1)\/5. Suppose -j + 3 = u, 3*j - 2*u = 8*j. Let i be (12\/5)\/1 + j. Which is smaller: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -235463\/48 + 4905. Calculate the common denominator of -44\/147 and h.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - c + 0*c)*(114 - 111 + 19*c**2 + 175*c**2 + (4*c - 3*c - 3*c)*(-2*c + 0*c + 0*c) + 0 - c**2 + 0).\nAnswer: 394*c**3 + 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -2. What is the nearest to -2\/3 in u, 5\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/9, 5, 4\/5, -1\/38?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/31)\/u**(1\/4) assuming u is positive.\nAnswer: u**(-35\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12082346?\nAnswer: 2, 523, 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from sxeuueuxehluu.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728)*1*4)\/(-4*(sqrt(12)\/sqrt(2) + sqrt(6) - sqrt(6)) + -1*sqrt(18)\/sqrt(3) + sqrt(6)).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08 - -0.0799991. What is p rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) 0.1 (c) 1\/15 (d) -0.6 (e) 2\/5 (f) 12.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 4*j + 16, -2*j + 6 = -3*g + 4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3850 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: What is 142 minutes before 1:36 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*b = 40*b - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v**(2\/3)))\/v*v**0\/v)\/(v\/((v**0*v)\/v))**(2\/81) assuming v is positive.\nAnswer: v**(-137\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91565*d*t**3 + 588*d*t**2 + d - 8*t - 1 wrt t?\nAnswer: 549390*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (21 + (3 - 0))\/((-32)\/(-16)). Suppose -4*a = -24 + v. Solve -a*l - 4 = -1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1042, -2055, -3052, -4027, -4974?\nAnswer: -5887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 687, -3 in decreasing order.\nAnswer: 687, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25 + 1368 - (1 + -1 - 2). Suppose -42*f - 177 = -v. Let t be (-2)\/12*-2*15. Sort t, -5, f, 4.\nAnswer: -5, 4, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-9) + 12\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 530, -9, 2, -12 in increasing order.\nAnswer: -12, -9, 1, 2, 530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3327*l**3 - 3300*l**3 + 5*l**4 + 3*l**2 - 2*l**4 in the form k*l + r*l**3 + d + z*l**2 + x*l**4 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-1)*p)*p**3*p)**(21\/5) assuming p is positive.\nAnswer: p**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2 + (-180)\/(-8). Suppose 5*z + g = 2*n, -6*z + 26 = 5*n - 4*z. What is the lowest common multiple of (1 - (-10)\/(-8)) + 7\/((-196)\/(-959)) and n?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001226664802 to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 f when three letters picked without replacement from {b: 7, f: 7}?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 39 = s - 47, -7*s = -21 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 2*h - 44, -272*k - 9 = -269*k + 13*h for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1603 = 3*u - 6389. Let h = -21343\/8 + u. Calculate the common denominator of ((-2)\/9)\/((-4)\/111) and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 58376.8.\nAnswer: -58376.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 269 = 1146 + 4563. List the prime factors of d.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 174813803*x + 200607. Let n(q) = -6100*q - 7. Give -401214*n(g) - 14*y(g).\nAnswer: 12158*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -18*w**5\/7 - 132*w**4\/7 + 7986*w**3\/7 + 19092*w**2\/7 + 5472*w\/7 = 0.\nAnswer: -24, -2, -1\/3, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86 * -624469.\nAnswer: 53704334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 505\/89311 or 0?\nAnswer: 505\/89311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -3 (c) 2\/469 (d) 1\/3 (e) 0.4 (f) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 23*g**2 + 2)*(1 + 2*g**2 - 1 + (-2 - 2 + 5)*(-g**2 - 3*g + 3*g) + (101 + 73*g**2 - 101)*(-1 - 1 + 1)).\nAnswer: -1656*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(-18) - 514\/(-12)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17263 in -2, -5, 0.834?\nAnswer: 0.834","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 7*k - 7. Suppose -11*v = -22*v + 132. Suppose -v = 18*a - 16*a. Give b(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -z - 37 + 12, 0 = -5*o - 4*z + 69. Let q = -12 + o. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36726545?\nAnswer: 5, 17, 503, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 225\/7 + -703\/21. What is the biggest value in 2, h, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-160)\/48*15\/20?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 7 - 13 - 27)*(1 + 1 - 3)*(-3*w - 3*w + 5*w) to the form u + j*w and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 3*h**2 + 3*h - 6. Let c be a(3). Suppose 136*t + 48 = 148*t. Put 2, c, t, 0 in increasing order.\nAnswer: 0, 2, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4240 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times -8312.5\nAnswer: -748.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y + 4*s = 12, 0 = -4*y - s + 18. Let f = y - 3. List the prime factors of 12 - (2 - (f - 0)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**5*v - 739014*u**4 + 3512*u*v - u - v - 8 wrt u?\nAnswer: -20*u**3*v - 8868168*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 24\/25, 86 in decreasing order.\nAnswer: 86, 34, 24\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 1. Suppose -2*k + v = -8. Suppose 4*n - k*n + 4 = 0. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0 (c) -0.31 (d) -0.2 (e) -14\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 6*j**2 + 6*j + 2. Calculate g(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.9, -1, 1\/229 in decreasing order.\nAnswer: 1\/229, -1, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*r**3 - 9*r**3 + 18*r**3 - 22*r**3.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*p + 327 = -25*p - 32*p. Suppose -43 = -3*c - 2*f + 43, 2*c - 4*f - 52 = 0. Calculate the remainder when p is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 2, -g = -a + 3*a - 5. Let l be a\/3 - 8\/30. Let x = 0.01 + 3.99. Sort x, -4, l in descending order.\nAnswer: x, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3741 - 1969. Is 40 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 338?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51864 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 68*f - 88*f. Let y(h) = -h**3 - 10*h**2 - 7*h + 27. Let z be y(-9). Solve -2*g - f*s + z = s, -g - 8 = -s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2. Let r = 24 + -18. Let h(w) = -4*w + r*w - 2*w - 2*w. Calculate h(j(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2. Let x(g) = 1185*g**2. What is w(x(l))?\nAnswer: 7021125*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23591138293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 14*b - 10. Suppose 2*z - 3*v + 7 = 0, -6 - 4 = b*z - 4*v. Let i = 56 - z. What are the prime factors of i?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1228569 and -6.99?\nAnswer: 1228562.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -8*f - 5. Let x(d) = -18*d + 16*d - 3*d - 2 + 2*d. Determine 6*l(k) - 17*x(k).\nAnswer: 3*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29080 rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 5:46 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 + 8*p + 6. Let i be t(7). Let a be (-3)\/(3 + i\/10). What is the second derivative of 4*f + 8*f**a + 110*f**2 - 110*f**2 wrt f?\nAnswer: 160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-440) - (-86)\/(-110).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (-5*(sqrt(55) + (sqrt(55) - (sqrt(1375) - sqrt(55)))))\/sqrt(5) + -2*sqrt(176)*-1)**2.\nAnswer: -3589 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3699, 3681, 3675, 3687, 3723, 3789, 3891?\nAnswer: 4035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -0.5, 1, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45354791 to the power of 1\/3, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -6. Suppose -4*z - 36 = 4*b, -25 + 8 = 3*b + z. Let o = 4 + b. Put 4, d, o in decreasing order.\nAnswer: 4, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -1\/5, 0.02, 17, -4, 3, -3?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -151163 + 14?\nAnswer: -151149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/15 - 1\/3. What is the smallest value in -1, i, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d**2 - 60*d - 29. Is 40 a factor of q(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1863?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 780728.8 millilitres?\nAnswer: 780.7288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 15*o + 3. What is the remainder when a(-7) is divided by 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/2 + 872611*c**2\/2.\nAnswer: c**2*(c + 872611)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14, 41, 192, 487, 974, 1701, 2716?\n\"Answer: 8*c**3 - c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-177)\/(-21) + (-48)\/112. Let f(j) = -j + 10 - 3*j + 3*j. Let a be f(g). Solve -6 = -a*l - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 8*x - 5. Let q be a(1). Solve -c - q*c = -8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.84 + -108.16. Is -1\/3 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 23 - 9 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (4 + 3 + sqrt(832) - (sqrt(832)*-2 + -2)))**2*-5.\nAnswer: -37565 - 1200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z + 104 = -16*z. Let d be 117\/z + (-2)\/(-4). Let y = 10 + -7. Solve 4*s + y = d*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -278611769*l**3*x + 2*l**2*x - 1839*l**2 + 18*l*x + 53*x + 1 wrt l?\nAnswer: -1671670614*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 135 + -57. Does 26 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51791 = 2029*i - 23282 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2)\/o*o**6)\/(((o*o**(-2\/9))\/o)\/o)**(-11) assuming o is positive.\nAnswer: o**(-143\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 198.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 495?\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 5 = -3*s. Let k be 0 - (48\/(-1))\/3. Solve s*r = -4 - k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -696, 19337.\nAnswer: -696, 0, 19337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*l - 10 = 0, 5*w - 23 = -4*l + 9. Which is bigger: -11 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*p = 12, 29 = -4*w + p + 2*p. Let n = w - -10. Solve -7 = n*b + 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 432 and 10703376?\nAnswer: 32110128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 55076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m - 2. Let g(s) = 35*s + 12. Let z(w) = -70*w - 23. Let t(n) = 7*g(n) + 3*z(n). Let v(o) = 2*t(o) + 15*u(o). Let a(h) = h. Determine v(a(l)).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -492de (base 15) in base 5?\nAnswer: -24433114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 15*z + 31. Let r(b) = b**3 + 14*b**2 + 13*b + 15. Let j be r(-13). Calculate the remainder when 61 is divided by x(j).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 114*j + 2647. Determine g(-23).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570 divided by -157?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 0)*(-5*w + w + 3*w) - 795 - 3404*w + 1587 - 2554*w - 792 to c + l*w and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001110010100110111011 + 1011?\nAnswer: -1010001110010100110110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/373680 and -79\/368.\nAnswer: 8594640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 34460582, 34460583, 34460584, 34460585, 34460586, 34460587?\n\"Answer: k + 34460581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1012*f + 1375*f**5 + 2024*f - 1011*f + 1197*f**2 wrt f?\nAnswer: 82500*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35689.52 and 0.3.\nAnswer: 10706.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 - (-33 + 2) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -44, -191, -480, -959, -1676, -2679?\nAnswer: -4016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1228106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-7 - 0) + (-10 - -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1007433 divided by -131?\nAnswer: 1007433\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 50 (b) 0 (c) -2\/3 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3227563921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.803884 millennia in months?\nAnswer: 9646.608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9666 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 98160 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-125130)\/(-29197)*21\/20\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/14 + 3*10\/15. Let n = -61 - -64. Which is the closest to 0? (a) 1\/5 (b) v (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y**2*y))\/y)**47*y*(y**(1\/2)*y)\/y*y\/(y*y\/y**(-13)*y) assuming y is positive.\nAnswer: y**(-215\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 481\/2*g - g**2 - 120.\nAnswer: -(g - 240)*(2*g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*x = -0*p - 1, 5*p + 4*x + 26 = 0. Sort p, -0.4, 0.5 in increasing order.\nAnswer: p, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 462*l**2 - 6910*l - 19. Determine z(15).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58141, 232744, 523749, 931156, 1454965?\nAnswer: 2095176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmlm. What is prob of picking 3 m and 1 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpxqrpopp. Give prob of picking 1 r and 1 o.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-9 - 1 - ((14 - 10) + -14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - 6*l - 290 - 448 = 2*l for l.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -965172 divided by 69\nAnswer: -13988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2159 + -0.231. Round i to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22545014 (base 6) in base 5?\nAnswer: -134321323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 7:18 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110102110211012 + 202?\nAnswer: -1110102110210110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygdryvv. What is prob of picking 1 y and 1 v?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 4 = -2*r + 3, 0 = -r - i - 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1107720 is divided by 1106952?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13185c5 (base 14) to base 2\nAnswer: 100011000111001100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s - 13772 + 13980 = 0 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 2 - 2)*(-131 - 259 - 106).\nAnswer: 1984*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437701170.\nAnswer: 2, 3, 5, 14590039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -393, -958, -1749, -2766, -4009, -5478?\nAnswer: -7173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -18965*t + 85. Let r be u(9). What is r rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 + -3055103131?\nAnswer: -3055103103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 57, 121, 189, 255, 313?\n\"Answer: -q**3 + 8*q**2 + 47*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 14*u**2 - 21*u + 2699. Let w be l(23). Do 6978 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 + 138900*s**2 - 833292*s + 1249884.\nAnswer: -4*(s - 34719)*(s - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-4)*(-3 - (-123)\/9). Suppose 5*j = 3*c + 3, -2*c + 2*j - 2 = -4. Let o be (-9)\/(63\/28) - -8. Solve -t = c*n + o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.13 - 0.1298. Round p to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-94070 - 6126*d + 902*d + 94070).\nAnswer: 10448*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + 2\/(-5)*(-315)\/(-28). Let h = 55 + -55. Let x = 6 + -4. Which is the nearest to f? (a) h (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 3*q**2 + q - 1. Let i be p(-2). Let f be (i - (2 - 0))\/(-1). Is -1*f + 22 + 5 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/126 and 95\/1442?\nAnswer: 12978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 18 = 7*o. What is the remainder when (-44)\/(-6)*(-18)\/o is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104596 and 30452?\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*d**3*y**5 - 2*d**3 + 5*y**6 - 3*y**2 + 3 wrt y?\nAnswer: -600*d**3*y**2 + 600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17488 and 47808913?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12133 - -4?\nAnswer: 12142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 142 = 182. Let u(x) = -x - 16. Give u(p).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/531, 36, -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 36 and -39?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/17 - -21\/68. What is the nearest to w in 0.2, 2\/9, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -16. Let q(m) = m**3 - 12*m**2 + 13*m - 22. Let o be q(11). Solve 10 = -2*f - 5*g - 0*g, -a*f + 4*g + 41 = o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 742429 (base 10) in base 8?\nAnswer: 2652035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 0*k**2 + 1\/105*k**6 + 0 + 0*k**4 + 19*k - 1\/70*k**5 + 0*k**3. Factor y(j).\nAnswer: 2*j**3*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -4. Let t be (2\/(-5))\/(d\/(-10)). Put -5, 2, t in increasing order.\nAnswer: -5, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2 = 2*c, -c = -6*i + 4*i + 5. Let v(g) = -2*g**2 + 5*g - 1. What is v(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1244992 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 10, k - 3*z - 122 = -z. Suppose -y = -10*y + k. Let a be 1\/(-2)*(y - 14). What is a rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3 = l - s, 0 = 3*l + 5*s + 3. Let x be (-2 - -1)*l\/2. Suppose 0*r = x*r - 177. Calculate the remainder when r is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9050455500 to the nearest one million.\nAnswer: 9050000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 3. Let c be g(0). Let h = 3 - c. Suppose 15 = 3*a - h. Solve -w - 3*w + l = -17, -a*w = l - 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/6 - -1)*1*-4. Let l be i*(14\/(-4) - -5). Sort -5, 9, l in ascending order.\nAnswer: -5, l, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2882*a**2*p - 4*a**2 + 22*a*p - 2*a + 9 with respect to p.\nAnswer: 2882*a**2 + 22*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 222*w + 39013. Calculate o(-175).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/9 + 1038874*d**2\/3 + 2077750*d\/3 + 3116626\/9.\nAnswer: -2*(d - 1558313)*(d + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-189738)\/4)\/((-3)\/(-792)). Let u = 175497615\/14 + n. Let p = u - 12830. What is the common denominator of p and -25\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*j = -5033, -g - 2279 + 7310 = -4*j. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 24 = 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42? (a) -4 (b) 1 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49929)\/(-1513)*1\/(-759)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/((-36)\/(-16)) - (-259 - 2). Suppose -4*n = 2*w - 444, 2*n = 3*w - 19 + z. Calculate the greatest common factor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-8)\/(-4752)*-6)\/(2\/(-6)).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*t - 23304, -5*q = 2*t - 13740 + 2082. Let u = 2456 - 1054. Suppose -t = -6*r - u. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n + 65 = -0. Is ((-16)\/n)\/(1 + 12\/(-15)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*u = 263*u - 165. What is the greatest common factor of u and 4334?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001765680635 to 6 dps.\nAnswer: 0.001766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**8\/80640 + q**7\/10080 + q**6\/2880 + 19*q**5\/30 + 20*q**2. Let d(a) be the third derivative of s(a). Solve d(v) = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -4. Let y be (1 - -1)\/(p - -1). Suppose 7*u + 5 = y*u. Which is bigger: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaammmzqmzzmazmaz. Give prob of sequence mz.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-3780)*30)\/(14\/(-70)*(-5)\/4).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 2*u + 8. Determine v(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 330, 1184, 2848, 5592, 9686, 15400, 23004?\nAnswer: 32768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 111 + -111. Let c = 6 + f. Let i(w) = 2 + 5 + 2 - w. What is i(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/2)\/((-6)\/4). Let k(h) = -h**2 - 7*h - 7. Let b be k(-6). Let a be -4*(-1 + 4 - b - 5). Solve -d = a + p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f + 22*f - 29*f + 12 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 - 12*u**3 + 64*u**2 + 192*u.\nAnswer: -4*u*(u - 4)*(u + 3)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -2128\/83?\nAnswer: -2128\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -239143?\nAnswer: -239143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5\/9 + 574*l**4\/3 - 1726*l**3\/3 + 5182*l**2\/9 - 192*l.\nAnswer: 2*l*(l - 1)**3*(l + 864)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 2780*t**2 - 22016*t - 132672.\nAnswer: -2*(t - 1382)*(t - 12)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 57 - 53 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 56 - (29 - (36 - 19) - (0 + 7))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4908 + (-11 - (17 - 14))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1045 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273252.\nAnswer: 2, 3, 7, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 31) + (-102 - -50)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1251*m**2 + 637*m**2 + 616*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9648\/(-87))\/16 - -7?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 135758.\nAnswer: 407274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 - 26*k**2 + k + 140. Let v be a(13). Solve v*q = 144*q + 36 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 12:49 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188092, 376233, 564458, 752809, 941328?\nAnswer: 1130057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3611045236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -20*x**3 + 23*x**2 - 15. Let y(d) = -7*d**3 + 8*d**2 - 5. Let c(b) = -784*b + 1574. Let k be c(2). Determine k*i(r) - 17*y(r).\nAnswer: -r**3 + 2*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (-7300)\/(-18) - (640\/(-90))\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7117044071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26597 is divided by 5288.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22 + -260?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 66862 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, x: 1, f: 3}. Give prob of sequence cf.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(-2*sqrt(900)).\nAnswer: -sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 689*j - 1029*j = -6800 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + w - u + 35, -20 = 4*u. Let t(k) = -k**2 + 10*k - 18. Let o be t(7). What is the tens digit of (243\/(-18))\/(o\/w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25301160 divided by -3240?\nAnswer: 7809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 1. Let m(u) = -4*u + 5. Let v = -2629 - -2626. What is v*w(t) + m(t)?\nAnswer: -7*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63713 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 5*g**2 - 8)*(-76 + 53*g**2 + 54*g**2 + g - 109*g**2) as a*g**4 + h + t*g**3 + c*g + u*g**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((85\/102)\/((-37)\/(-222)))\/(30\/492)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1272 - 687. Suppose m = 9*q - 0*q. What is the remainder when q is divided by 9\/2*198\/27?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2412*a**3 + 21*a**2 - 9*a - 13. Let v(g) = 603*g**3 - 5*g**2 + 2*g + 3. Let q(h) = 2*f(h) + 9*v(h). Suppose -3*j = -8*j + 10. Is q(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 14*q**2 + 15*q - 1. Let o be i(-15). Let l be ((-30)\/(-2))\/(o + 2). Solve 4*x = -x + l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 2*h + 668 - 693 = 0, l - 78*h = -393 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*k + 4*q = 39*k - 976, -4*k + 5*q + 1961 = 0. What is the lowest common multiple of k and 4?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8580 by 6.\nAnswer: -1430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + (-15)\/(-6))*2. Let t = q - -4. Suppose -t*r + 2*r = 0. Sort -2, -5, r in decreasing order.\nAnswer: r, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c*i*v + c*p**2*v - 3*c - 12*i*p**2 - 4*i*v - 7*p**2*v - 3*p wrt p?\nAnswer: 2*c*v - 24*i - 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 4. Determine t(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 = 5415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from xxxxxxvvx?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-294)\/35)\/(-7)*10\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 3*w**5\/5 + 77*w**4\/4 - 191*w**3\/3 + 139*w**2\/2 - 28*w + 675. Factor i(o).\nAnswer: (o - 1)**2*(o + 28)*(3*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -10. Let z = 3 - s. Suppose -u = 4*u - 10. Calculate the lowest common multiple of u and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231430?\nAnswer: 2, 5, 23143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (3*6\/(-18))\/(3\/(-1131))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -55*k**3 - 11*k**2 - 2*k - 2. Let t(g) = -216*g**3 - 43*g**2 - 9*g - 9. What is -9*q(i) + 2*t(i)?\nAnswer: 63*i**3 + 13*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 3 - 76*m**3 + 55*m**3 to a + t*m + f*m**2 + i*m**3 and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z**2. Suppose -141 = 15*x + 24. Let w(c) = 3*c**2. Let v(o) = x*w(o) - 6*h(o). Let i(p) = -11*p**2. Determine i(v(n)).\nAnswer: -99*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -15*k + 362. Let h be p(24). Let x(l) = 4*l + l - 7*l**2 + 3*l**h + 4 + l**2. Let w(v) = 3*v**2 - 6*v - 4. Calculate -5*w(s) - 6*x(s).\nAnswer: 3*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 689176291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*q - 61*q + 156*q = 94. Solve -41*w + 5*r - 23 = -42*w, 0 = -q*w + 5*r - 14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 725.02 to the nearest ten.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(363) + 2)**2 - (sqrt(363) + 2 + -1)) + (1*(-1*sqrt(363) + sqrt(363)) - sqrt(363))**2 + ((-1 + sqrt(363))**2 - sqrt(363))*-2.\nAnswer: 1 + 99*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b + 3 + 1\/2*b**2. Let k(w) = w**3 - 7*w**2 + 6*w - 6. Let r be k(6). Give u(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 5*m = -122 + 99, m = 4*k - 36. Factor -3\/2*w**2 - 19\/2*w + k.\nAnswer: -(w + 7)*(3*w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -16*d - 3. Let x(n) = 32*n + 7. Let y(j) = 7*q(j) + 3*x(j). Let f be 1\/(-2) + 3\/(-6)*1. What is the tens digit of y(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkokok. Give prob of sequence oo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 35*v - 19. List the prime factors of m(5).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 1. Let q = 41003 + -41002.5. Sort p, 4, q, 1.1 in descending order.\nAnswer: 4, 1.1, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(1\/3))**(16\/5)\/(z**(-2\/7)\/(z\/(z*z\/z**(-11)*z))))**46)**(-3\/20) assuming z is positive.\nAnswer: z**(28129\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 18 (c) -6257 (d) 2\/5 (e) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlj when three letters picked without replacement from jlgyeju?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 209*u + 14 - 1145*u + 530*u - 578*u.\nAnswer: -1402*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*o + 9*o**2 + 0*o**2 - 7*o**2.\nAnswer: 2*o**2 - 26*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11810 divided by -22592.\nAnswer: 5905\/11296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*d - 41*d - 228. Calculate the highest common divisor of d and 798.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111001000100 + 1100000100?\nAnswer: -1101101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24563 and 603064?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in -0.4, 0.13, 666, -1\/2, -1\/211?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155 and 272645.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 225*h + 462.\nAnswer: -3*(h - 2)*(h + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*q - 2*q + 30*q)*(0*q**2 - 9*q**2 + 4*q**2)*(-3*q**2 + q**2 + 3*q**2) + 0*q**5 + q**5 - 3*q**5.\nAnswer: -67*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(1275\/(-459)*(-4)\/10)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 128*a**2 - 352*a + 1321. What is z(-131)?\nAnswer: -4050","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8 - -1063795.\nAnswer: 1063794.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 5*z**2\/2 + z - 7. Let x be m(1). Solve 0 = -2*a - a + x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuv when three letters picked without replacement from {u: 15, v: 4}?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*p + 2*f, -f + 4*f = 5*p - 11. Let q(j) = -j**3 - 4*j**2 + 10*j + 11. Let r be q(-5). Let y = r + 13. What is the closest to y in p, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474 a factor of 59804602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 + 18*g**2 + 22*g - 80. Let x be w(-6). Let p(n) = -n**2 + 9*n. Give p(x).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -7*t**2 - 2087*t**3 + 2086*t**3 - 6*t**2 - 26*t - 14 + 3*t. Give j(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34546.023467 + -34546. Round z to four decimal places.\nAnswer: 0.0235","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 11*j**3 - 11*j**2 - 12*j + 99. Is u(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 + -62. Calculate the smallest common multiple of 34 and h.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 13*f - f**3 + f**3 - 7*f + f**3 - 11*f**2 - 11. Is 11 a factor of q(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-7)\/21)\/((-5)\/3))\/(36*19\/26505).\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2 + 2*s - 2*s - 5*s + 4*s. Let a be (-4)\/(-6) + 17\/(-3). Let x be q(a). Sort -3, x, 4.\nAnswer: -3, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-22 - -9)) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 11\/1777, -0.1, 1 in decreasing order.\nAnswer: 1, 11\/1777, -0.1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26533014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*u = -36, 5*n + 2*u + 24 = 83. Solve 9 = -q + n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 9:13 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 7*x - 205 = 2*x, 0 = z - x - 35. Let s(j) = -82*j + 6153. Let k be s(75). Is z bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)*p)\/p*p\/(p\/p**3)*(p**(6\/7)*p)\/(p\/p**(7\/4)*p*p) assuming p is positive.\nAnswer: p**(-11\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((144\/20)\/(-12))\/(6\/(-1120)*-12)?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n**(-5)*n)\/n*n*n)\/(n\/(n**(-3)\/n)))\/(n**0*n**(-1\/4)*n))**(-36) assuming n is positive.\nAnswer: n**279","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12017528?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 25*x**2 - 54*x - 146. Let j(i) = -5*i**2 + 11*i + 26. Let z(y) = -11*j(y) - 2*u(y). Factor z(n).\nAnswer: (n - 2)*(5*n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*x + 10, -5*i - 7*x + 11*x + 2 = 0. Suppose 0 = z - 3*j - 116 - 56, -5*j = -i*z + 341. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*p = -53*p + 4. Let l(t) be the second derivative of 729\/20*t**5 + 81\/2*t**4 + 18*t**3 + 0 + p*t**2 + 5*t. Let l(s) = 0. Calculate s.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1573) + 3)*-4)**2.\nAnswer: 1056*sqrt(13) + 25312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -35\/59 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -219*r**5\/10 + r**4\/12 - r**3\/3 - 3*r**2\/2 - 5*r - 2. Is t(-1) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000635 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 11. Let s(r) = r**3 - 5*r**2 - 7*r + 6. Let n be s(6). Suppose 2*z - 5*u = 10, -z + 0 + 16 = 3*u. Sort p, z, 3, n in increasing order.\nAnswer: p, n, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1376798820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*d + 389*d = -123*d + 21936 for d.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*s + 30 = 0, 6*f - 5*s + 17 = 2*f. Which is the third biggest value? (a) f (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56500*k + 56514*k - 210. Solve 11 + k = l - 4*n, 0 = 3*l - 3*n - 24 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 7179?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2740 - -2852. Calculate the remainder when 350 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 99 = 4*n, -112182*n + 112184*n + 50 = -2*l for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 0*t + 0 - 1\/3*t**4 + 1\/15*t**6 - 21*t**2 - 2\/105*t**7 + 0*t**5 + 2\/3*t**3. Factor f(r).\nAnswer: -4*(r - 1)**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26.7 - 30. Let n = 3.4 + j. Is 0.16 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r = 25*r + 43 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 912 and 890796?\nAnswer: 3563184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1635*t**2 + 8*t - 1. Is a(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -566 + 549. Which is the second biggest value? (a) -3\/4 (b) 2\/17 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -20*i + 65. Let b(x) = -749*x**2. Determine j(b(g)).\nAnswer: 14980*g**2 + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -2966498.\nAnswer: -5\/2966498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16483*k**2 - 6670*k**2 - 1 + 1 to the form h + g*k + w*k**2 and give w.\nAnswer: 9813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.03 + 1.94. Let s = -0.71 + n. Which is the nearest to -1\/3? (a) 5 (b) -1\/29 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 215.87 to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5.62 * 0.3\nAnswer: 1.686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 554137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 10:38 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 5. Suppose 0 = 2*j + c*j, -3*j - 338 = -2*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 1:51 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 12 = -2*j. Find b, given that 30*b - 12 - 20*b - 20*b**j - 38*b - 4*b**3 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -4. Let u = 9 + c. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 70\/3*u**3 + 25\/4*u**4 - 14 - u**5 + 0*u**2 + 0*u. Suppose q(d) = 0. Calculate d.\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aag when three letters picked without replacement from {g: 2, a: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u**3 - 2*u**3 + 6171812*u + 0*u**3 - 6171812*u.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 15*j**3 + 305*j**2 - 3815*j - 1305 = 0?\nAnswer: -29, -1\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhuh when four letters picked without replacement from {h: 3, u: 13}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, -0.5, 17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, a: 3}. Give prob of picking 2 v and 1 a.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-25)\/(-10))\/((-3)\/(-6)). Suppose 3*h - 4*b + 4 = 0, 0*b = -h - 5*b + k. Is -4\/13 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -1. Solve -w*f + 3 = -2*r + 11, 4*r = 5*f + 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cunllncngccncvc. Give prob of picking 1 n and 1 v.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 241998 and 4285191?\nAnswer: 2283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(r**3 - r**3 - r**3)*(8 - 8 + 4*r).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3\/4*h - 1\/4*h**5 + 0*h**4 + 3\/2*h**3 + 0 - 2*h**2 = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 734154 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6952, -13734, -20480, -27190?\n\"Answer: 18*l**2 - 6836*l - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a microgram in nanograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-70)*(-3318)\/(-316)*44\/(-22)?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 20 + 5 = 0. Let z(n) = n**3 - 4*n**2 - 11*n. Let u(p) = -3*p**3 + 12*p**2 + 32*p - 1. Let t(y) = 4*u(y) + 11*z(y). List the prime factors of t(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 8:50 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -961610 or -961598?\nAnswer: -961598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02445947 to four dps.\nAnswer: -0.0245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -797412 + 797412. Factor 0*o + n + 1\/2*o**3 + 1\/4*o**2.\nAnswer: o**2*(2*o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, n: 1, t: 1, b: 1, y: 4}. What is prob of picking 2 y and 1 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -7*b**4\/4 + b**3\/3 + b**2 - b - 3. Let w be n(-2). Suppose -3*h - 78 = -o + w, 0 = 5*h + 10. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 1329*f**3\/4 - 115629*f**2\/4 - 59010*f + 267 = 0.\nAnswer: -2, 2\/443, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11213743 a multiple of 452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 11 - 3 - (5 + -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 18*u = 23*u + 94, -40*u = -4*h - 37*u - 106 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + -50.946. Let u = 0.05400011 - r. Round u to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*s**2 - 20*s**2 + 78 - 160 + 82.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/11136 and 137\/161280.\nAnswer: 4677120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00026586 to 6 decimal places.\nAnswer: 0.000266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a**2 - 15*a - 23. Let x be b(12). Let d = x + -947. Let c = d - -403. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**7\/1260 + 55*o**4\/12 - o**3\/6 - 334*o. Let x(l) be the third derivative of t(l). Let r(h) = 2*h + 232. Give r(x(n)).\nAnswer: 4*n**2 + 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/17))\/(t*t*t*t**7*t)*(t*t\/(t**(-2\/13)\/t*t*t*t))\/(t*t**(2\/5)) assuming t is positive.\nAnswer: t**(-12297\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3091402171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/(s*s**(-12)))*s*s)\/s)\/(s\/(s**(1\/12)\/s)) assuming s is positive.\nAnswer: s**(-131\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -28. Suppose 0 = -2*f - 3*a, a + 2*a = t*f. Suppose f = -0*s - 6*s + 498000. What is s rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 5747.\nAnswer: 5\/5747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2754 > -2754?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 18 = -4*z, c - 20*z - 6 = -21*z. Solve 0 = 3*n - 15 + c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -123843.19296 to the nearest integer.\nAnswer: -123843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 9\/8*p**2 - 9 + 5\/16*p**4 - 1\/2*p - p**3. Determine g so that a(g) = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6024493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 6:44 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*s**3 + 2 + 3 - 3 + 3 - s**3 + (3*s**2 + 2*s**2 - 3*s**2)*(3*s - s - 4*s).\nAnswer: -3*s**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -9*b**4\/4 - b**3\/3 + b**2\/2 + b - 371. Suppose 4 = -c + 3. What is j(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 - -0.6. Let r = -7.7 + q. Let m = 6.1999863 + r. Round m to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (42\/(-9) + 4)*-3 + 38. Suppose -3*r = 2*r - 50. Is 2\/r + 11472\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mokkdsv. What is prob of sequence kk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72817?\nAnswer: 72817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -216 - -6. Let f be (4\/(-6) - 959\/c) + -4. What is the nearest to 0.2 in 4, -3\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3230223 (base 4) to base 15.\nAnswer: 474c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 0)*((-3*l + 2*l - 2*l)*(6*l + 2*l + 0*l) + l**2 + 0*l**2 - 3*l**2) in the form x*l**2 + a + s*l and give x.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 3) + (-7)\/((-49)\/(-9))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 41015.4882768 from 5.\nAnswer: -41010.4882768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 - 3*t**2 + t - 4. Let g be b(-3). Let p = 4 - 3. Let a = 1 - p. Solve g = -5*v - a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 16. Let r be p(13). Let g be 76 + 0 - (0 + 3). Suppose 8 + g = r*c. What is the remainder when c is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4997 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - x = 7 - 0, -5*y + x - 14 = 0. Let b be (2\/y)\/((-2)\/27). Solve -3*i - 3 = b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*r + 9000 = -13*r. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(20)\/(sqrt(490) - (sqrt(490) + 4*sqrt(490))) + 5)**2.\nAnswer: -9801\/392 + 5*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*p + 6 = 0, 4*k + 21 = -0*k + p. Let d be (-159 - -9)\/(k\/8). Suppose -2*v - 3*v + d = 0. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 18 = -9*s. Let c(n) be the second derivative of 1\/3*n**3 - 3*n + 0 - 1\/2*n**s + 1\/12*n**4. What is c(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 3*b**2 - b + 7. Let n be c(-3). List the prime factors of 82 - (4\/(-6) + n\/(-3)).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 192 divided by 32\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3.612939ng?\nAnswer: 0.003612939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k**3 - 3*k**2 - 3. Let x(j) be the second derivative of -j**5\/20 - j**4\/12 - j**2\/2 - 14*j + 2. What is -n(b) + 3*x(b)?\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 5*k + 3833, -o - 4*o + 3*k + 4775 = 0. Suppose o*l = 945*l + 1827. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rey when three letters picked without replacement from yyrkerekkkr.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2010.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 201022535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16436\/5 - 115082\/35. Which is the closest to m? (a) 0.4 (b) -3 (c) -2\/21 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8102531063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 8*o**2 - 7*o. Let j(u) = u**3 - 7*u**2 + 6*u. Let n(b) = 6*d(b) + 7*j(b). Let y be n(0). Which is smaller: y or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0167278 to four decimal places.\nAnswer: 0.0167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 67, 75, 81, 79, 63, 27, -35, -129?\n\"Answer: -t**3 + 5*t**2 + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**3\/6 + 23*k**2\/2 - 4*k. What is the remainder when h(0) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 + -53.6. Let k = -5 - u. Which is the closest to 0.2? (a) 2\/7 (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3\/9 - 82*d**2\/9 + 52*d\/9 + 6688\/9 = 0.\nAnswer: -8, 11, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15705 is divided by 5144.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -488, -1104, -1976, -3110, -4512, -6188?\nAnswer: -8144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 - 99. Let y be ((-1)\/p)\/((-21)\/14). Factor 1\/3*t**2 - y*t**3 + 0*t + 0.\nAnswer: -t**2*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c - 15 = 25*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1018247 times 0.098\nAnswer: 99788.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s - 3. Suppose -5*d + 8 = -d. Let h be c(d). Let x(l) = -3*l**2 + 2*l**2 + l + 0*l**2 + l. What is x(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -0.844\nAnswer: -0.3376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.1 - -33.5. What is a rounded to zero decimal places?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2306247?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -541355, -1082730, -1624103, -2165474, -2706843?\n\"Answer: g**2 - 541378*g + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 13. Let x(i) = 3. Let t(z) = -6*g(z) + 26*x(z). Let n(j) = -2*j**2. What is t(n(s))?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 759*j + 40704 = 508*j - 771*j - 674*j for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/15 and -101\/2043762?\nAnswer: 10218810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 12*o**2 + 11*o - 15. What is f(-11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o - 8 = 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.18 rounded to 1 decimal place?\nAnswer: -28.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4, -7, -10, -13, -16?\n\"Answer: -3*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 6*h + 3. Let b = -15 - -21. Let k be x(b). Solve 2*c - r = 6, 2*c + 5*r = k + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -38a6 + -b?\nAnswer: -38b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1748070113\/2268 - -770754. Calculate the common denominator of k and 103\/630.\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3 = 2*l, 3*l = 6*l + 4*b - 16. Suppose -6 = -0*q + 2*q, 5*k + l*q = 28. Solve -4*j = -3*a + k, -4*j - 40 = 2*a + 3*a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1588.6934 - 0.3066. Which is the biggest value? (a) 1 (b) r (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001895458 rounded to five dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*sqrt(33)\/(sqrt(11)*-2).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 236042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 78, 185, 358, 591, 878, 1213, 1590?\n\"Answer: -g**3 + 39*g**2 - 3*g + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 7:13 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/40 of a hour?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d**2 + 16*d + 10. Let v(h) = h**2 - h + 1. Let k(p) = c(p) + 4*v(p). Factor k(i).\nAnswer: -2*(i - 7)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212031 (base 4) to base 3.\nAnswer: -10100120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*k - 13, -118*j - 5*k = -114*j + 11. Sort 6, -3, j.\nAnswer: -3, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2161 or -2162?\nAnswer: -2161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -2 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 117604376*g**3 - 2154*g**2 + 2*g - 471 wrt g?\nAnswer: 705626256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.3 + -4.3. Which is smaller: 14 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*s - 14 = 0, 5*x + 2*s - 5 = -11. Let o(q) = 6 - 3 + 5*q - 4*q. Give o(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23471 and 651919?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5383 - 5370. Solve 4*y + 21 - h = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2 + 66\/4. Let x be (-3)\/(-2)*m\/12. Suppose -3*n - x + 0 = 2*q, -2*n = -4*q + 12. Solve u + q + 6 = 2*s, 4*s - 14 = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 7 = -v, 5*v - 24 - 1 = -5*q. Differentiate 7*n**3 + 50*n**3 + 5543*n**q - n**4 + 27 - 5543*n**2 with respect to n.\nAnswer: -4*n**3 + 171*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 33307, 66628, 99951, 133276, 166603, 199932, 233263?\n\"Answer: y**2 + 33318*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20364?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 2. Let g be 0 - (-2)\/(-1) - 34. Let n = g + 26. What are the prime factors of m(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -94.9 + 94.357. Let q = -0.243 - j. Let l be (-3)\/24*2*-2. What is the closest to 0.07 in q, l, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 0*p**2 + 0*p**3 + 19\/20*p**5 + 1\/21*p**7 - 8 - 101\/12*p**4 - 5*p + 0*p**6. What is the third derivative of a(k) wrt k?\nAnswer: 120*k**2 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7866, 15734, 23602, 31470, 39338?\nAnswer: 47206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*x + 2*m, 5*x = 3*m + 1214 - 1201 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 515157.\nAnswer: 2060628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 50. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**2 + 28*r - 111. Let l(c) = -2*c**2 + 14*c - 52. Let j(g) = -4*h(g) + 9*l(g). Factor j(v).\nAnswer: -2*(v - 4)*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 11*z**2 - 26*z - 2. Calculate v(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3 - 14*p**2 + 0 + 3\/2*p**4 - 8*p = 0. Calculate p.\nAnswer: -2, -2\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8188 and 2952842.\nAnswer: 135830732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a - 20. Determine v(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92\/(-6))\/(11*(-256)\/4224).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000010100100011 (base 2) in base 11?\nAnswer: -23675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 26 + 10. What is the least common multiple of h and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-18))\/(-1*1*4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*m = 13, 14 = -h - 3*m + 4. Let i = -7.94 - -8. Let g = 0.16 - i. What is the third biggest value in g, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z**3\/z*z*z)\/z**(-19)*(z**(-2\/59)*z)\/z**(-5\/9) assuming z is positive.\nAnswer: z**(14614\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i*s*u**2 + 4*i*s*u - i*u + 2*i + 879*s - 39*u**2 wrt s?\nAnswer: -i*u**2 + 4*i*u + 879","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/40 - (-46648)\/680 - (-15 - 1)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 9:40 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.1 + -1.1. Let a = -0.005 - -4.605. Let h = a + -3. What is the third smallest value in x, h, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -5, 17, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*4\/(-16)*0. Let u(l) be the first derivative of v*l**4 + 2 + 0*l**3 - 1\/5*l**5 + 1\/2*l**2 + 0*l. What is the second derivative of u(t) wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*a**2 - a**3 + 0*a**3 - 1283*a - 71*a**2 + 49*a**2.\nAnswer: -a**3 - 2*a**2 - 1283*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 6766 = -2*u + 6785, -5*u = -5*l - 50 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d + 4*d - 288. Let q(u) = -u**3 + u**2 - u - 2. What is the smallest common multiple of d and q(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139*a - 26*a + 33*a - 4 to h + f*a and give f.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-50)\/(-5) + (0 - (0 - -1)). Let c = x + -12. Does 13 divide -2 - -51 - c*(-1)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + p + 6. Let i be f(0). Suppose i = c - 4. What is the smallest common multiple of c and ((-68)\/51)\/(8\/(-18))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (92\/3)\/(20\/30). Suppose -2*l - 5 = -f + l, q = 4*f + l. Calculate the remainder when 20 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -49774*b**2. Let z(u) = u**2. Determine z(l(p)).\nAnswer: 2477451076*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52956 and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 480 divide 256707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-963*g + 2057*g - 1010*g)*(-3*g - 2 - 1 - 1) in the form i + n*g + m*g**2 and give n.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**2 - 5*l**2 - 4*l - l. Let a(p) = 31*p - 32*p + 2 - 2. Let z = -4 - -5. Calculate z*x(g) - 3*a(g).\nAnswer: -g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8787.018ml?\nAnswer: 8.787018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3 + -7 + (-2 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = -26. What is the remainder when o is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3912243 - 160902 = -367*a + 2756725. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**4\/12 - 2*x**3\/3 - x**2 - x. Let z be s(-3). Let p = 4 + -2. Solve 4 = -p*a + t, -t - z = -a + t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((126\/4)\/(-7))\/(42\/560*4)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-37 - (-29 + 17))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 6)*(3*i - 91*i - 112*i) + 10*i - 16*i + 12*i + (-1 + 1 - i)*(-1 + 1 + 2) + i - 3*i + 0*i - 4*i + i + 4*i + 2 + i - 2.\nAnswer: 204*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17390290 is divided by 405.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -85, -222, -413, -658, -957?\nAnswer: -1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -754 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*d + l - 21, -4*d + l = -81. Suppose -21*r = -r - d. Which is smaller: 1\/660 or r?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 10*c = 75, 39*r = -36*r + 79*r + 2*c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 65 = -12*y - 23. Let m = 2 + -9. Is y != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 294*y**4 + y**3 - 14*y**2 - y + 564469 wrt y?\nAnswer: 1176*y**3 + 3*y**2 - 28*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4103 = -323*f + 26*f + 55 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f. Let x = -1 + 4. Let j(y) = -x*y**2 + 2*y**2 + 3*y**2 - 4*y**2. Determine k(j(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1578.\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 5:53 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, j: 4, s: 8}. What is prob of sequence ijsj?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 11577362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (128785\/20965)\/((-2)\/(-7))*-1*2\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9001.6607 rounded to the nearest 100?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/10392?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-5) + -1 - 240\/(-850)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + sqrt(7)) + (1*sqrt(84))\/sqrt(12) + (1 + sqrt(343) + -5 - (-1 + sqrt(343) + 3))**2.\nAnswer: -4*sqrt(7) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/448 and -95\/896?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeveveevvvwveveve. What is prob of picking 2 e?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.81 - -11.81. Suppose 4*p + 2*a + 22 = 8, 0 = -4*p + a + 1. What is the closest to -1 in p, -0.2, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -29, 2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((154\/35)\/(-22))\/((-3)\/(-5)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 8*j**2 + 0 + j**2 + 14 - 14 + (-92 + 92 + 6*j)*(2 + 2*j - 2).\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -17?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -9*s**5\/5 - 3*s**4\/2 - s**3\/3 - 6. Solve p(m) = 0 for m.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 168*r - 2858. Calculate t(11).\nAnswer: -1010","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -396, -776, -1156?\nAnswer: -1536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 770997?\nAnswer: 3, 233, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -347, -342, -255, -44, 333, 918?\n\"Answer: 7*b**3 - b**2 - 41*b - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(108) + 5)**2*2 - ((sqrt(99)\/sqrt(3))\/sqrt(11) - (5*(sqrt(3) + 1))**2).\nAnswer: 289*sqrt(3) + 1014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from ddlelkdkddddkled?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -608, -3, 65, -2 in decreasing order.\nAnswer: 65, -2, -3, -608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, c: 2, a: 1, r: 4, l: 2, j: 2}. Give prob of picking 1 z, 1 c, and 1 l.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g**5 + 19*g**4 + 332*g**3 - 1248*g**2 + 1440*g - 432 = 0.\nAnswer: -6, 6\/13, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*c + 16, 5*c + 5*o = -6 + 36. Let i = -0.044 + -0.856. Let w = -2.1 + i. What is the nearest to 3 in c, 1\/7, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3668385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1758 is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -665 - -665.527. Let n = -1.663 - q. Let x = -2.18802 - n. What is x rounded to four decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.056053396 to 3 dps.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 - 1 + 5 - 3 + (241*v + 305 + 1 - 237*v)*(-2*v + 2*v - 3*v**2) to the form k*v + u + b*v**2 + r*v**3 and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12874 + -7102. Calculate the highest common divisor of 195 and h.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3013259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 - 3039110?\nAnswer: -3039096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.726 to one dp.\nAnswer: -23.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 11*v**2 - 3*v**2)*(-6 - 5 + 3).\nAnswer: 104*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14910375211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.26698 - -0.73302. Suppose 0*s - 2*s = -2. What is the nearest to s in c, 28, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s + 16. Let f be n(0). Let i be 75\/100*f\/6. Let c(d) = -97*d**2 + 45*d**i + 47*d**2. Let p(z) = -z**2. Determine c(p(m)).\nAnswer: -5*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 6:02 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -48, -52, -58, -66, -76?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1207453 is divided by 3651.\nAnswer: 2623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*54820\nAnswer: -10964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -0.04, -116\/9 in decreasing order.\nAnswer: -0.04, -2\/13, -116\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*m**2 - 68*m + 8.\nAnswer: 4*(m - 2)*(8*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 83*b - 1. Let u(x) = 165*x - 2. Calculate 7*n(q) - 4*u(q).\nAnswer: -79*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*n + 98 = -2*x, 5*x + n = -112. Calculate the common denominator of -14\/3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33888623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3655544305.\nAnswer: 5, 7, 14920589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*c - 16621 = 14636. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 907.691 nanometers?\nAnswer: 0.000000907691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*j + 128*j = 513744. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*z = 83, -21 = c - 0*z + 3*z. Let a be 48\/c*6\/4. Let i(x) = x**3 + 2*x**2 + x. Determine i(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**5*r + 3*j**3*r - 544*j**2 + 3*j*r + 4*r - 316 wrt j.\nAnswer: 20*j**3*r + 18*j*r - 1088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -73.9 + -68.6. Let g = -142 - c. What is the nearest to -27 in 2\/7, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 490 and 8085?\nAnswer: 16170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 12012.\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 26\/3 (c) -2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 232548349 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -5)\/((-6)\/70). Suppose 8*m = 60*m - 0*m - 364. Calculate the greatest common divisor of m and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4) + 4 + 1 + 1*sqrt(17))**2.\nAnswer: 20*sqrt(17) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 16*b**3 - 8*b**2 + 29*b - 180. Is k(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**5\/s)\/s)**(-3))**(-8))**(-11) assuming s is positive.\nAnswer: s**(-792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 2, 36, 0.02?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9983\/9772 + -20\/349. What is the common denominator of -125\/24 and d?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((-12)\/(-108))*(-2916)\/(-162)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**4\/12 + 3*m. Let h(o) = -3*o**2 - o**2 + 3*o**2. What is h(g(t))?\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3010 - -2986. Are -10 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, k: 7}. Give prob of sequence lk.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021746 a multiple of 411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 1\/72*d**6 + 1\/24*d**4 - 2\/3*d**3 + 0*d + 0*d**2 - 1\/60*d**5 - 4. Let i(p) be the third derivative of m(p). What is i(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*z - z**3 - 238*z + 126*z.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*s - 164*s - 11*s**2.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 29188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37751 - -1?\nAnswer: -37750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -452.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*y + 33*y = -4*k + 28, y - 7 = 0. Is k at most as big as 32\/381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -72, 1, 0.3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4 - 2*n + 12 - 3*n. Let s(c) = -c + 1. Let v = 7 + -13. Calculate v*s(z) + o(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 4 + 4 + 30*h.\nAnswer: 34*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 p when three letters picked without replacement from {n: 5, p: 8}?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y + 4. Let h(c) = 1. Suppose -2*t = 8, -4*t - t - 24 = 4*w. Give w*p(f) + 4*h(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4401005?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 17*y - 2. Determine j(-2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 809402433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*g**2 + 53516*g - 26766.\nAnswer: 2*(2*g - 1)*(8*g + 13383)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2)*6\/(-21). Let m be 66 + 2\/(-1 - 0). Let x be m\/(-126) - (-2)\/7. What is the closest to -1\/2 in x, l, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 4*q + 28, 0 = -x + 2*q + 2*q + 22. Suppose 2*a + 2*d + x = 4*d, -3*d + 15 = 0. Solve -a*b - 1 = 15 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/18 + (-32)\/63. Let p = 213 - 167.4. Let l = -46 + p. Which is the nearest to -0.1? (a) 4 (b) r (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + 24 - (-3089 + 40) is divided by 220?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, v: 4}. What is prob of sequence oo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18 + 0 + 0)*-1. Let w be (-2 + -1)\/(2\/f). Suppose 25 = 3*a - z, -5*a + 13 = -4*a + 2*z. What is the greatest common divisor of w and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/15*-5*5075\/(-3625)\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -29. Suppose -p - c + 5 = 0, -3*p + 0*c - 2*c = -k. Find the common denominator of 3 + (0 - p) - (-87)\/(-9) and 99\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-14)\/10)\/7)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 652 + -418. Calculate the highest common factor of 36 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -13.699 and 355.8728464.\nAnswer: 342.1738464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -265 - -249. Let h be (x - -15)\/(-2 + 2 + -1). Put h, 3, -2, 0 in descending order.\nAnswer: 3, h, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + n = -4*n, 4*n = 0. Suppose 3*r - 2 - 1 = 0. Put r, -1, i in decreasing order.\nAnswer: r, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o + 5. Suppose 0 = 7*s + o*s - 24. Suppose 0 = -2*x + a - 1, -s*x + 3*a = -x + 8. Which is smaller: 2\/127 or x?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 15*i**2 - 5*i. Let m = 0 - 5. Let x(a) = a**3 + 16*a**2 - 6*a. Let n(h) = m*x(h) + 6*b(h). What is the third derivative of n(q) wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-9)*((((i\/(i\/i**(-1)))\/i)\/i*i)\/i)\/i*(i\/(i*i**(-21)))\/(i\/(i\/((i**(-2\/3)\/i)\/i))) assuming i is positive.\nAnswer: i**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**7\/840 - h**6\/720 + h**4\/12 + 3*h. Let l(k) be the third derivative of q(k). What is the second derivative of l(r) wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 26*i**2 - 54*i - 80. Let n be u(25). What is n rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90*2048949\nAnswer: -184405410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y. Let i = 14 + -9. Suppose 6 = d - 2*a, 2*d - 4 = 2*a + 4. Let q(h) = 3*h**2 - i*h**d + h**2. What is f(q(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 1)*1 + -4 - -9. Put -4, u, 376 in decreasing order.\nAnswer: 376, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -11. Let j(t) = a - 2*t + 4*t - t. Let u be j(-5). What is the smallest value in -2\/7, 0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 - -4.2. What is the second biggest value in p, 2, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77366 + 20310 + 11308 = 24*n. Calculate the highest common factor of n and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 422*u**5 - 28908*u**3 + 11855604*u?\nAnswer: 8440*u**3 - 173448*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3145 - 3?\nAnswer: 3142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 15 - 10 - 13 + 2623*g**2 + 52.\nAnswer: 2623*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74658?\nAnswer: 2, 3, 23, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4))**(4\/11) assuming z is positive.\nAnswer: z**(-1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-2 - (-4)\/(32\/12)). Let z be t\/((-5)\/(2 + 3)). Solve 0 = -h - 0 - z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/(f\/f**(-1\/8))*f*f))\/(f**(1\/8)\/f)*f**(1\/12)*f**(2\/9) assuming f is positive.\nAnswer: f**(-25\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20673623 by -2.\nAnswer: -20673623\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1023660 and 9980685?\nAnswer: 39922740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123375 = 4*s + 20*g - 17*g, -4*s - 2*g + 123370 = 0. What is the greatest common divisor of s and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.38 and 72847.\nAnswer: 100528.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + z**2. Let u be t(-1). Suppose -139 - 37 = -r. Suppose 3*f + r = 5*x, 2*x - 62 = -u*x + 4*f. Calculate the remainder when x is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 163 and 48174324.\nAnswer: 48174324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -402 by -201.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 2. Let p be r(-12). Suppose -3*b - 4 = -4*y + b, 0 = 4*y + b - p. Let j(z) = -4*z. Let d(v) = -3*v. Let w(i) = 10*d(i) - 7*j(i). Determine w(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 3:22 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1076423465.\nAnswer: 5, 13, 16560361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - r. Let d be h(0). Let m = d + 1. Let f(c) = -c**3 - 5*c**2 + 4*c - 12. Let o be f(-6). Which is bigger: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 5*f + 20 = 0, -16 = -3*q + 436*f - 440*f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 967*p**5 - 17*p**4 + 29*p + 1502 wrt p.\nAnswer: 19340*p**3 - 204*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4 = -5*i, -3*a + 4 = -i - 0*i. Let u(z) = -z**3 + 5*z**2 - 5. Let h be u(3). Suppose 58 = 9*d + h. What is the highest common factor of d and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -1287?\nAnswer: -1\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8974 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-10))\/((-1149)\/(-105) + -11). What is the second derivative of -12*z + 4 + 131*z**5 - 51*z**2 + 37*z**2 + y*z**2 wrt z?\nAnswer: 2620*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1023 divide 9138985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - 13*b + 2. Let o be (-2 - 100\/(-15))\/(10\/(-15)). Calculate y(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -34 + (27 - -22) + (-1 - 9) - 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1333 and -0.3.\nAnswer: -399.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 388*x**2 + 37*x + 15. Let v(t) = -t. What is v(z(s))?\nAnswer: -388*s**2 - 37*s - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7357 in 2, -5, 9.7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-2 - (1 - 4 - -1)) - (2201 + -2221).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 1:11 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 13. Let o be i(9). Suppose -9*n = -49 + o. Let a(l) = 11*l + 49. Let g be a(-4). Solve 10*q - n*q = g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*c**3 + 24 + 13*c**3 - 24.\nAnswer: 83*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3870189646 and -0.07.\nAnswer: -3870189646.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 3*t + 2 = 0, 7*t - 4*t - 10 = -5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40324 or 5874?\nAnswer: 5874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7200)\/88320*(-32)\/(-12).\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -4*w - 4*k - 14, 21 = -3*w - 3*k. Let t be -4*1\/2*w. Solve n + 4 = -3*s, 2 = -t*n + 5*n - 3*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -14. Solve 2*k - 6*k + 20 = -3*s, 0 = 4*s - d*k + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 2*p - p)*(-7*p + 5*p + 23*p + (-3 - 3 + 4)*(p - 4*p + 0*p))*(2*p + 0*p + 0*p).\nAnswer: -270*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11000110010011 (base 2) to base 12\nAnswer: 7417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/9)\/(44\/(-99))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of ((-248)\/(-2))\/(((-15)\/(-12))\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15549*1.\nAnswer: 15549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -5, 0.2, -13, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63 - -156. Calculate the greatest common divisor of 2697 and n.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-three halves of a century?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 569426 by 51766.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide ((-82688)\/170)\/((-10)\/25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*-12*(-54)\/144.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2686196895 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 + 51. Suppose -b*a - 6 + 14 = 0. Solve -20 = 4*t - a*g - g, -t - 5 = -3*g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttqy when four letters picked without replacement from qtqyty.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.2 + 29?\nAnswer: 42.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -7 + 7 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 541015, 2164087, 4869197, 8656339, 13525507, 19476695?\nAnswer: 26509897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2. Let o be a(2). Let z be o\/(-14) - 178\/(-14). Let x = -65 - -117. Calculate the greatest common divisor of x and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-1888)\/96 - -20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4579, -9157, -13735, -18313, -22891, -27469?\nAnswer: -32047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77 + 74. Let u(k) = -3*k**2 + k**2 - k + k**2. Give u(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38\/3 + 64\/5. Let g = -96.96 - -92. Let k = 1.96 + g. Which is the closest to -0.1? (a) q (b) k (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**4\/12 + 4*p**3\/3 + 4*p**2 - p. Suppose 28*a = -110 - 58. Calculate y(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109827757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/6)\/(-5)*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*v + 2 - 2)*(0*v - 2*v + v) + v**2 - 6*v**2 - 21*v**2)*(9*v - 29*v - 2*v)*(3 - 6 + 2)*(5 - 4 + 1) to h*v + z + s*v**2 + b*v**3 and give b.\nAnswer: -1232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((84\/(-108))\/7)\/(2\/(-6))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10843, -10941, -11103, -11329, -11619, -11973?\n\"Answer: -32*f**2 - 2*f - 10809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3 = 3*v, -3*v = -0 + 12. Let p = 3 + 1. Suppose 5 = p*x + 29. Which is smaller: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -17, -6, -4 in increasing order.\nAnswer: -17, -6, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 times -14849\nAnswer: -32667.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 1. Suppose -b*z - z + 24 = 0. Let v = z + 15. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**2 - 3*t**2 + 4*t**2 + (0*t + 0*t - t**2)*(0 - 2 + 0) - 3*t + 3*t - t**2 + 4*t - 4*t - 2*t**2 - 4*t**2 - 2*t**2 + 3*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 13*n = -63, -3*n + 51 = -b + 35 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 10:46 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -160, -3, 5 in decreasing order.\nAnswer: 5, 1, -3, -5, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 + 2*h**2 + 2*h**2 + (3*h - h - 3*h)*(-h + 5*h + 2*h) as o*h**2 + v*h + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 10232 - 3*p**3 - 3*p**3 - 10232 + 2*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-13 - -8) + -5 + 14) - -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -33*f**3 - 5*f**2 - 2*f - 2. Let b(n) = -67*n**3 - 12*n**2 - 5*n - 4. Let d(v) = 3*b(v) - 7*g(v). Calculate d(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 16 = -4. Suppose 0*m + 60 = r*m. Solve 0 = -5*d - 0 - m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -3\/4*k**4 - 19*k + 0 - 1\/5*k**5 + 23\/2*k**3 + 0*k**2. What is the second derivative of y(m) wrt m?\nAnswer: -24*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, x: 8}. Give prob of picking 2 x.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -66*s + 531. What is j(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 9*j + 19. Let o be r(7). Suppose 3*w = a + 2*a - 180, o*w = 2*a - 117. What is the remainder when a is divided by 7 + (3 - 5 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000078523 rounded to 7 decimal places?\nAnswer: 0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 22*s - 18. Let j be n(21). Suppose 0 = b - j*w - 12, -4*b - 3*w + 16 = -7*w. Solve 3*t = -b*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3754913 != 3754911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 27 = 40. Suppose 2*o - m*o + 99 = 0. Let j(u) = u**3 - 8*u**2 - 8*u + 9. Determine j(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 954, 2193, 3692, 5445, 7446, 9689, 12168?\nAnswer: 14877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6390 - 6312. Does 78 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0106 + -0.0784. Round i to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103309.\nAnswer: 17, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*p - 23*p + 1155. Let b = -387 + p. Let o(v) = v - 8. Let j be o(6). Is j <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 694627 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297683 is divided by 663?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b = -825 - 883. Let p = -6 - -31. What is the remainder when b is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**3\/2 + 4896*f**2 - 15980544*f - 3515. Factor g(v).\nAnswer: -3*(v - 3264)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 33, 29, 25?\n\"Answer: -4*t + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -10. Let r(z) = 2*z**2 + 3 - 5*z**f - 3. Let k(c) = -3*c. Calculate k(r(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - -23) + (-1 - 1) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(17\/3 + -6). What are the prime factors of (1 + d\/(-6))*44\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38.3 + 38. Let n = 0.31 + 2.49. Let u = 2.3 - n. What is the nearest to 0.1 in -2, g, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1235046 + -0.2464995. Let p = j + 0.123. Round p to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 11. Let i be r(-11). Suppose h = 4*c - 146, i = -4*c + 2*c + 4*h + 66. Let y = 0 + c. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.89 - -9.8307. What is w rounded to 3 dps?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1979452 divided by 135\nAnswer: -1979452\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 197856\/5 + -39576. Calculate the common denominator of j and 15\/652.\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nd when two letters picked without replacement from dddddnddndn.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8929\/253 + -818\/23. Which is the nearest to -0.1? (a) 6 (b) -1\/9 (c) -4 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-6))**(-49))**(-23) assuming u is positive.\nAnswer: u**(-6762)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16 (b) 1 (c) -10 (d) 4 (e) 1\/26 (f) 2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 369 by -935.\nAnswer: -369\/935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 6*(sqrt(117) + sqrt(117)*1))\/(sqrt(1089)*1).\nAnswer: 13*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -32*t**3 + 3*t**2 - 146*t - 148. Calculate s(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*i - 5. Suppose -3 = i*b - 18. Suppose 0 = 5*r - 4*m - 331, -b*r + r + 139 = 5*m. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**4\/72 + 4*s**3\/3 + 58*s. Determine a so that y(a) = 0.\nAnswer: -48, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 494.6 - 494.5. Sort -136\/9, 1\/3, 1, z in decreasing order.\nAnswer: 1, 1\/3, z, -136\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 7 - 43 = -5*j, -4*j + 32 = -4*b for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472463583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1705972.\nAnswer: 2, 19, 22447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/2 - -3 - -6. Suppose -14*d = -57 - 111. Let g be (d\/90)\/(12\/9 + 0). Which is the second smallest value? (a) t (b) g (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 823.4173um in meters?\nAnswer: 0.0008234173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192866.\nAnswer: 2, 73, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**3 - 6*x**3 - 5*x**3 + 119*x - 2*x**3 - x**2 + 15*x**3 in the form u*x**3 + y*x + s*x**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/4536 and 89\/408?\nAnswer: 77112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*z + 2*z + 2*z)*(3 - 4 + 2) - 12*z + 3*z + 15*z)*(-4 + 1 - 5).\nAnswer: -32*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 598727183?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 34210 (b) 0.8 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -16*w - 8. Let z be p(-6). Suppose 4*l + z = -3*s + 5*s, -5*l - 2*s = 110. Let q = 48 + l. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2984910518 to the nearest one hundred thousand.\nAnswer: 2984900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 47 - (3 - (-2 + 16))) + (3 - 7)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**2 + 38*z + 7. Calculate r(10).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 7) in base 2?\nAnswer: -101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4819 and 158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**3 - 8*m**2 + 10*m + 6. Let p(d) = 17*d**3 + 40*d**2 - 49*d - 31. Let j(l) = 11*a(l) + 2*p(l). Is j(6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 7 = -2*z - 1, -z + 13 = 2*t. Suppose 5 = -z*b + 15. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31, -33, -35, -37?\n\"Answer: -2*v - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrvv when four letters picked without replacement from {v: 15, r: 3}.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95 - -174. Let s = 1.6967442884 - -77.3032548416. Let w = s - r. Round w to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(832) + 0 + 1*(sqrt(13) + sqrt(65)\/sqrt(5)) + (sqrt(1573)*-1*-1 - sqrt(1573)) + 0)**2.\nAnswer: 40*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1744 - -44.8756. Let c = 45 - g. What is c rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 24 = 8, 2*m - 8 = 4*o. Let q = o + -4. Which is smaller: -3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -2*v - 6, 10*v = 5*v - i - 21 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 38212, 151780, 341058, 606046, 946744, 1363152?\n\"Answer: 37855*a**2 + 3*a + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*f - 144 = 120*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14784, -59066, -132870, -236196?\nAnswer: -369044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -83013 divided by -1?\nAnswer: 83013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -22*(600\/165)\/(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61896207?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 13. List the prime factors of c + 15 + 15 + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t*t**(4\/7)*t)))\/t*t)\/t)\/(t*t**(-31)) assuming t is positive.\nAnswer: t**(221\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -4*p + 7, -35*p + 2*w + 1206 = -16*p + 133*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7387164 is divided by 1630.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*q = -b - 359, -2*b - 30 = 918*q - 922*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17 - -52) + -21 - 20) + (4 - -13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -110010110 (base 2) to base 5\nAnswer: -3111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6901 (base 10) to base 15.\nAnswer: 20a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 1501 + 1501.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -6 - (-1 + -6). Suppose -3*d + m*d - 257 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000649 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhl. Give prob of sequence hh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 172 and 7378069?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 637724 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 4\/5, 41\/2, 3.\nAnswer: -3, 4\/5, 2, 3, 41\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -28. Suppose 56 = -a*s - 56. Does 2 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -10*j + 22. Let n(v) = 5*v - 11. Let z(u) = -3*a(u) - 7*n(u). What are the prime factors of z(-4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 2866*w - 345908. Let y be c(116). Factor -32*g - 285\/4*g**2 - 225\/8*g**3 - y.\nAnswer: -(g + 2)*(15*g + 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 315\/150)*10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-9) - 8030\/(-9). Let n = 392 - z. What is n rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -29.99. What is v rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 5*h + 4*h)*(3 - 5 + 0)*(625*h - 5*h**2 - 609*h - 2 + 3*h**2).\nAnswer: 8*h**3 - 64*h**2 + 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*a**3 + 0*a**3 + 0*a**3 + (2*a - 3*a**2 - 2*a)*(-4 + 4 + 2*a) as r*a + k + d*a**2 + f*a**3 and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 4)*-5*3\/21.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.73 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 39582583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -464 + 481. Suppose -q = 3*z - 11*d + 10*d, z + 2*d + 1 = 0. Put 1, 6, z in increasing order.\nAnswer: z, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 321.99702 + -322. Round w to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1640 and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*(i*i**16*i)\/i))\/(i\/i**8*i))\/(i**(-4\/9))**(9\/11) assuming i is positive.\nAnswer: i**(-117\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*z = -21, 2*v - 2*z - 24 = -2*v. Suppose 2*a = v*a - 6. Put -2, -1, a in descending order.\nAnswer: a, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16645466.043 and 19.2.\nAnswer: -16645446.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3256442 and 13818?\nAnswer: 9769326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -2078bc9?\nAnswer: 2078bca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 219, 218, 217, 216, 215, 214?\n\"Answer: -m + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 4, a: 1, e: 1, k: 1, z: 5}. Give prob of sequence ek.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0 - 1 = -3*a, -2*r - a + 5 = 0. Let i be -4*(13\/(-26))\/(r\/3). Sort 0, i, -11 in increasing order.\nAnswer: -11, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from {t: 1, e: 4, m: 2, w: 1, z: 3}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((3*sqrt(300) + -2 + (sqrt(300) - (-3*sqrt(300) + sqrt(300))*5))**2 + 3 + -5) + -2.\nAnswer: -2800*sqrt(3) + 294008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82 + 208532*p**3 - 3356*p**4 + 7*p**2 - 208532*p**3 wrt p.\nAnswer: -80544*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40608 is divided by 1015?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -100000011110?\nAnswer: 100000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i = 3598 + 9752. What is the greatest common factor of i and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j. Let o = 804 - 804. Let c(s) be the second derivative of o*s**2 + 1\/2*s**3 + 0 - 6*s. What is c(n(u))?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 9*h + 2*h**2 - 2*h - 7*h. Let w(f) = -3*f**2. Determine n(w(s)).\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/37 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 - 173?\nAnswer: -18c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -3 + -22 + -20 + -12.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 j when three letters picked without replacement from {j: 3, b: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f**(-2\/11)*f)\/f)\/f)\/(((f\/f**2*f)\/f)\/f))\/(f\/(f\/(f**0*f)))**(-33))\/(f**7*f*f\/((f\/f**2)\/f)*f\/f**(-9)*f*f*f*f**(1\/2)*f) assuming f is positive.\nAnswer: f**(183\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2663373187?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*c - 114*c**2 - 28*c**2 - 5*c.\nAnswer: -142*c**2 - 29*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1980))\/(sqrt(528)\/sqrt(3) + sqrt(11)).\nAnswer: 6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - r**2 + 2*r**2)*(0*r - r + 4*r)*(-12 - 24 + 65*r - 62*r).\nAnswer: -9*r**4 + 108*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 230 in 2.8, -3, -9, 0.5?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(3) - (sqrt(300) + -3)) + -4 + (sqrt(3) - sqrt(3)*3).\nAnswer: -11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30536 and 18920?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n - 12. Let a(q) = 3*q - 11. Let y(d) = 5*a(d) - 4*t(d). Let l be y(-6). Is -1 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2000\/6)\/(1\/(-3780)). What is h rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6329363879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 + -97.51. Let t = -1.19 + f. Are -2 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51480\/(-167310) - (-1122)\/13?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1264, 1265, 1266?\nAnswer: 1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + sqrt(252)\/(sqrt(72)\/sqrt(8)))\/(sqrt(4) + -2*sqrt(4)*4).\nAnswer: -2*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2212113233 (base 4) to base 8\nAnswer: -2462757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 3*y**2 + 5. Let b be g(-3). Suppose 3*l - 28 = b*l. Let c = l + 46. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2*3\/12)\/(4 + 4). Let t = -0.068 + 1.068. Put t, 5, -3, k in ascending order.\nAnswer: -3, k, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.6276 + -0.2824. Let l = 0.09 - v. Let d = 17.9999944 - l. What is d rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 42 = -57. Suppose 5*r + p - 13 = 0, 5*r = -2*q + 6. What is the common denominator of 1\/(4 - 8)*(-89)\/q and 11\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3 + 175387390*o**2 + 7690184142753025*o = 0. What is o?\nAnswer: -87693695, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(15\/144))\/(42\/280). Suppose o - 68 = -n. Solve -u + o - 3 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.2 + 2.8. Let z = 513 + -514. Put 1\/4, x, -3\/7, z in descending order.\nAnswer: x, 1\/4, -3\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 264 and 11225084.\nAnswer: 740855544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = 3*a + 28. Suppose 3*f = -a - 2. Let g be -1*(34 + (f - -3)). Which is bigger: g or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*14\/(-105)*-1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.043, -4, -11, -15?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 175*r**2 + 299*r - 8138. Calculate v(-173).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 8 = -20. Let t be o + (-2 - -1)*-2. Suppose f - 2*l + 6 = 2*f, -4*f - 2*l + 18 = t. Calculate the least common multiple of f and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + d + 2*a + 61 = 0, -4719*a = 3*d - 4720*a - 29 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32771\/3304 + -18\/413. Let w = 7\/107 - -13933\/1284. Find the common denominator of w and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 260 + -182. Let p(a) = 4*a + 61. Let j be p(14). Calculate the highest common factor of m and j.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -615, -1232, -1849, -2466, -3083?\nAnswer: -3700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12683259*l**2 + 3446937 with respect to l.\nAnswer: 25366518*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -8187539.\nAnswer: -8187539.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 - -1 - (-7 - -7). Let m = v - -12. Suppose 2*b - 3*o + 19 = 0, -4*b - 47 = m*o - 2*o. Are b and -11 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 866*w**2 + 341. Let d(n) = n**2. What is r(d(h))?\nAnswer: 866*h**4 + 341","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**3\/3 + 79*a**2\/2 - a - 12. Is 22 a factor of y(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38942 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -990? (a) 4.6 (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 10 = -5. Suppose 3 = o*m - 7. Suppose -9 = -4*g + g. Calculate the remainder when g is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*m - 113 = 3*b, -227 = -4*m + 5*b. Let v = 158 - m. Let o = v - 54. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 17*v - 140. Let d be o(-23). Let z = 89 - 443\/5. Put -0.18, z, d in decreasing order.\nAnswer: z, -0.18, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 + 4*n - 4. Let x(b) = 3*b**2 + 5*b - 5. Let q(k) = -5*l(k) + 4*x(k). Suppose 4 = -j + 3*j. Let c(h) = 2*h + h - j*h. Calculate c(q(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 38 = -4*x, 0 = -0*x + x + 2*n - 12. Let t = x - 4. Calculate the lowest common multiple of 6 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -272 - -12?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + v - 2)*(2*v**2 + 2*v - 2*v) - 700*v**2 + 700*v**2 + 184*v**3.\nAnswer: 186*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 31*f + 94. Let m be a(-7). Sort 3, m, 1.\nAnswer: m, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*k - 5*u + 1227, 2*k = 3*k + 4*u - 6 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011101010100111111 (base 2) in base 9?\nAnswer: 1631507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**3\/4 - 15*h**2\/4 + 21*h\/2 = 0.\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i**2 + 11*i**2 - 4*i**2 - 2 - 5. Let z(y) = 4*y**2 - 2. Suppose -758*a + 753*a - 3*r = 47, -3*a = -3*r + 9. Give a*z(c) + 2*f(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 5*w**3\/3 - w**2\/2 - 2. Does 15 divide m(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 917*q + 42328 = -2326*q + 585*q + 233704 for q.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -248474 <= -4472537\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -127 - ((4 - 6) + -1). Let f be r - 15\/(-20)*(-6 + 2). List the prime factors of (f\/3)\/(1\/(0 - 3)).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3122\/5? (a) 0.1 (b) 3 (c) 0.67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 656231695 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6015, -11866, -17685, -23478, -29251, -35010?\nAnswer: -40761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -14750605 and -0.0194744.\nAnswer: -14750605.0194744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 8*y - 6*y + 395, 0 = -2*g - 4*y + 134. What is the remainder when g is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 4*r - 4*r)*(118973 - 118973 + 227*r - 1308*r).\nAnswer: 2162*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 11*i. Let k be d(1). Suppose -79 - k = -3*r. Let a = -9 - -25. Calculate the remainder when r is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3193438621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a century in years?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -102063+1.91284\nAnswer: -102061.08716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -0.1 (c) 1\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, q: 4, f: 3, l: 1, x: 2}. Give prob of picking 1 n and 1 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -49*m**3\/6 - 385*m**2\/2 + 575*m\/2 - 625\/6 = 0. What is m?\nAnswer: -25, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195947503 is divided by 405?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 3425, -4, -5 in decreasing order.\nAnswer: 3425, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zq when two letters picked without replacement from blqllzlzlqlb.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 297415597*h*w**3 + 2*h*w**2 + h*w + 2*h + 359*w + 116 wrt w?\nAnswer: 1784493582*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 70276 and 0.295.\nAnswer: 70276.295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -797301 + 3?\nAnswer: -7972cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**4\/4 + m**2\/2 + 2. Let i(v) = 3*v**3 - 2*v. Calculate 5*b(g) + 2*i(g).\nAnswer: g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 121162514 to the power of 1\/2, to the nearest integer?\nAnswer: 11007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(684)*1 - sqrt(684)) + -3)*-6)**2.\nAnswer: -1944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102 + 106. Let d = -166 + y. What is the least common multiple of 36 and d?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 424436 + 11?\nAnswer: 424450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (798\/49)\/(-6). Factor -2\/7*s**3 - s + s**2 + j.\nAnswer: -(s - 2)*(s - 1)*(2*s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6161183, 12322395, 18483607, 24644819, 30806031?\nAnswer: 36967243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2542, -2.44, 0.3, 46?\nAnswer: -2542","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*b - 57717 = -11864 - 25978 for b.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -305*q**8\/56 + q**5\/15 + 15*q**4\/4 - 444*q**2. Find the third derivative of c(b) wrt b.\nAnswer: -109800*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4)\/f*f)\/f**7)\/(f\/(f\/f**(-2)))**(-2\/11) assuming f is positive.\nAnswer: f**(-125\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**9\/a*a**(-5\/2))**(-8\/9) assuming a is positive.\nAnswer: a**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 576 + 604. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (152\/96)\/(1\/5774). Let f = x - 9165. What is the common denominator of f and 95\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yye when three letters picked without replacement from yyyeeyyyyyyy?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -2\/5, 6, 23.\nAnswer: -2\/5, 3, 4, 6, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1140874?\nAnswer: 1140877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245c (base 13) to base 5.\nAnswer: 131042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + 133?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*b**3 + 0*b**3 - 3*b**3)*(73 - 399 - 25 + (3 + 2 - 4)*(-1 + 0 + 0) - 4 + 8 + 0) to the form v + u*b**2 + o*b + n*b**3 and give n.\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/7 + (-12)\/42. Suppose -5*k + s*k + 545 = -i, -4*i + 88 = k. Let m = -55 + k. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 96 - 675\/7. Put o, 4, 0.2 in decreasing order.\nAnswer: 4, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3606 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1109 + -630. Is 17 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7680467, 7680465, 7680463, 7680461, 7680459, 7680457?\nAnswer: 7680455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 13*j**2 + j + 13. Let s be k(-13). Let n(c) = c + c**3 - 39 - 34 + 75. Let f be n(s). What is f rounded to one dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116747?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1*((sqrt(187) - sqrt(187)*2) + sqrt(187)) + sqrt(187))*-3)\/(-4*sqrt(44)\/sqrt(4)*5).\nAnswer: -3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2088)\/2610)\/((-6)\/5)*(-72)\/4*4.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 10. Let z(l) = -9*l + 1. Let w be z(1). What is the least common multiple of r(w) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 101*x - 738. What is the remainder when 119 is divided by y(40)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23395172 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11627a (base 11) to base 13\nAnswer: -659a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6208 - 6202) + -1 + -48.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3 = -13. What is the greatest common factor of k and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5634+0.2\nAnswer: 5634.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000046448 to seven dps.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*a - 28 - 0, 56 = -4*a - i. Let b(m) = 20*m. Let o be b(1). Let p = a + o. What is the remainder when 13 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 6*w + 16*w - 8*w as k*w + j and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 44*c + 30*c + 17*c)*(-1 + 18 + 3)*(-2*c - 2*c + 5*c).\nAnswer: 60*c**2 + 120*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 924349 and 4155.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -32175, -5, -3, 1 in decreasing order.\nAnswer: 2, 1, -2, -3, -5, -32175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (836\/(-2) - 1)\/(162\/(-1134)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g**2 + g - 1. Let h be l(1). Suppose -3*c + 2*b - 25 - 12 = 0, 2*c - h = -5*b. What is the units digit of (-65)\/c - (-8)\/(-36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45072)\/(-17528))\/(1\/14*2\/3)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**2 - 4*u**2 + 0*u**2 to p + v*u**2 + c*u and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 52 = -2*b, -2*b + 18 = -3*v + 46. Solve 12*p - v = 14*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7*w. Let u(d) = 5*d**2. Let m = -6 - -9. Let q(z) = 5*z**2 + m*z**2 - 5*z**2 - 4*z**2. Let y(f) = -22*q(f) - 4*u(f). What is n(y(t))?\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 930, 3394, 7426, 13032, 20218?\n\"Answer: u**3 + 778*u**2 + 123*u + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4.7 (b) 9 (c) 2\/3 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(9)*2) - (2*((sqrt(22) - sqrt(132)\/sqrt(6)) + sqrt(22)) - sqrt(22)))\/(5*3*sqrt(242)*3).\nAnswer: -sqrt(11)\/990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/137507 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -55177 (b) 4\/7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18711)\/(-756) + (-3)\/4?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 5*t**7\/7 - t**6\/15 - 233*t**4\/6 - 4*t + 56. Find the third derivative of o(q) wrt q.\nAnswer: 1800*q**2 - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.46 + -0.04. Let b = 166.2 - 166. Let s(p) = -p + 4. Let h be s(6). What is the closest to h in b, q, -1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35992 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: Simplify (((((sqrt(102) - 1*sqrt(102)) + sqrt(102))*1 + sqrt(102) + sqrt(102)*1*6)*-3)\/((6*sqrt(108)\/sqrt(2))\/sqrt(9)*-4))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*u = -1046, -4*u = -16*k + 13*k - 3130. Round k to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3259 or 0?\nAnswer: -2\/3259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**2 + 40*r - 47. Let h be k(-11). Sort -8, 81, h in decreasing order.\nAnswer: 81, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 + -0.5. Sort 5, -0.4, u in descending order.\nAnswer: 5, u, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114742 and 8034?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/(f**(-1)*f))\/f*f))**(1\/2))**33\/((f**(-1\/3))**(-2)\/(f**1)**(-2\/67)) assuming f is positive.\nAnswer: f**(-140\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9873 + 21048. Let t = -9921 + f. Round t to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -3*a**2\/2 - 43*a - 14. Let p be r(-19). Factor p*x + 2*x**3 + 34\/3*x**2 - 6.\nAnswer: 2*(x + 3)**2*(3*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d + 460 = 16*d. What is the third derivative of -p**6 + 18*p**2 + d*p**3 + 74*p**3 + 30*p**3 wrt p?\nAnswer: -120*p**3 + 684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 5*q**2 + 6*q + 3. Let n(g) = -g**2 + 4*g + 5. Let u be n(4). What is the remainder when t(u) is divided by 0 + 0 + (-1 - -13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004315645 a multiple of 859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 86634817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -176, 1\/16, -0.5, 4, 3, 0.3 in descending order.\nAnswer: 4, 3, 0.3, 1\/16, -0.5, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**2 - 69*q + 590 = 0.\nAnswer: 10, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q\/(q*q**(1\/2)*q))*q*q*q*q\/q**(1\/4) assuming q is positive.\nAnswer: q**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91 - -10. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54*(-5)\/(-20))\/(11\/((-220)\/(-30)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f - 4*f**2 + 2*f**2 - 4*f. Let k(y) = 13*y. What is w(k(u))?\nAnswer: -338*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - i + 0*i + (-1 + 1 + 2)*(-4*i + i + i) - i + 2*i + 0*i - i - i - i - 2 + 2 - 2*i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, r: 3, g: 5, d: 1, h: 1, y: 4}. Give prob of sequence yrrd.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 657281985 + 68\nAnswer: 657282053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a century?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from nhnbknmhn.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 8 = -4. Suppose -2*v = p*o - 20, v - 3*v = -3*o + 5. What is the units digit of -2 + o + 1 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.42, 0.19, -0.1 in descending order.\nAnswer: 0.19, -0.1, -1.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 12715 = -9*y - b, -4*y + b = -25433. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.41 times -72\nAnswer: -29.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 88 + -64 - (2 + 7)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((0 - -3) + -9 - -2) + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11 - -10)\/(1\/(-2)). Suppose -5*j = -3*d + 61, -4*d + j = -q*j - 63. Suppose 132 = 3*y + 9*y. Which is smaller: y or d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j + 47*j**2 + 31*j**2 + 27*j**2 + 1 + 4*j**3 - 3*j - 87*j**2 as n + x*j**3 + f*j + t*j**2 and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 414296028 divided by 6.\nAnswer: 69049338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 376\/481 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2233, 2234, 2235?\nAnswer: 2236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -1\/3, 35.\nAnswer: -35, -1\/3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 10*u**2 + 3*u - 6. Let a be k(10). Let c be (-2)\/(-7) - a\/(-14). Factor -16*t**2 + 28*t**c - 15*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-9))**(-7\/10)\/(l**(-8\/5)*l**(9\/4)) assuming l is positive.\nAnswer: l**(-153\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1. Let s(i) = -3*i**2 + i + 4. Suppose -3 - 3 = -6*u. Determine u*s(q) + 4*j(q).\nAnswer: -3*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*l - 33*l - 36*l + 73 + (3 - 2 + 1)*((4 - 3 - 3)*(-3 - l + 3) + l + 0 + 0) to a*l + y and give y.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 a when two letters picked without replacement from {a: 3, p: 1, e: 2, r: 3, m: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-30))\/3*2960\/(-2664) - (-89)\/(-147).\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5903, -5900, -5897, -5894, -5891, -5888?\nAnswer: -5885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b = -1. Let k(f) = -58*f**2 + 7*f + 2. Let y(n) = 29*n**2 - 3*n - 1. Let d(x) = 3*k(x) + 7*y(x). Is d(b) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (43*(-22)\/(-473))\/((-27)\/(-15))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20\/(-15) - (-332)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/4))**(-50))**(-7\/3) assuming o is positive.\nAnswer: o**(175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -14*c - 1. Let o(m) = 5*m. Let t(l) = 6*g(l) + 17*o(l). Let d be t(9). Factor -7*a**d - a**3 - a**3 - 2*a**2 + 8*a + 7*a**3 + 8.\nAnswer: -2*(a - 2)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 227105481.641907200937 - -5748.358093359063. Let d = -227111214 + a. Let x = d - 16. What is x rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44686850.6 rounded to the nearest 10000?\nAnswer: 44690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -776620 - -2?\nAnswer: -776617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 12 = 0, -3*y - 1064 = 3*l - 242. Let g be 2 - (3 - 2)*l. Round g to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 21*n**2 + 91*n + 200. Calculate a(13).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 370*b - 19. Let y(q) = -370*q + 13. What is -2*h(k) - 3*y(k)?\nAnswer: 370*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 82 = -276. List the prime factors of a.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -0.01659, -34, 0.1?\nAnswer: -0.01659","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*g - 4, -2*b = -2*g - 3*g + 10. Suppose 2 + 8 = 5*z. Let f(m) = -m**2 + 5*m**2 - 2*m**g - m**z. Let l(d) = -8*d**2. What is f(l(k))?\nAnswer: 64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(80) + (sqrt(2430)*-2)\/sqrt(6) + 5)**2.\nAnswer: 60*sqrt(5) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7\/86?\nAnswer: -7\/86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2284, 2349, 2396, 2425, 2436, 2429?\nAnswer: 2404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**2\/7 + 1243540*c\/7 + 193298966450\/7 = 0.\nAnswer: -310885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -28. Suppose 0 = -4*g - 0 + h. Suppose -4*u + g = -u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(30)\/(sqrt(20)\/sqrt(2)*-4).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**2 + 1938*u - 5787 = 0.\nAnswer: 3, 643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2246440 to the power of 1\/2, to the nearest integer?\nAnswer: 1499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z + 5*z**2 - 5*z + 2*z - 3*z**4 + 2*z**3 + 5*z**4 as p*z**3 + m*z + q*z**2 + b + g*z**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 8:44 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -2) + 49 + (-113 - -57)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-231)\/(-28) + 34\/(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 8 in decreasing order.\nAnswer: 8, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9 + 2510\/(-280))*4. Sort q, -2.71, 0.\nAnswer: -2.71, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*s + 32*s - 398 = -1094 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 4357\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**3 - 3*g**2\/2 - 3*g. Calculate the remainder when t(8) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Let f = 1.424 + 0.116. Let g = 0.06 - f. What is g rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6529*a**2 + 8*a + 13. What is the ten thousands digit of z(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 5:24 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -551596251*o + 28367744?\nAnswer: -551596251","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 - -88. Suppose -144 = -5*m - 19. Let q = d - m. Solve q*n + 2*c = -1 + 22, -13 = -5*n + 4*c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*g = -147*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 30666 - 3*w**2 + 0*w + 30662 - 3*w**2.\nAnswer: -6*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -s + 12, 3*c - 8 = 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7263*g**6 + 5628*g**2?\nAnswer: 871560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1086 or -0.09?\nAnswer: -1086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**9\/15120 + q**8\/4200 - q**6\/900 - q**5\/600 - 4*q**3\/3 + 11. Let u(a) be the third derivative of k(a). Factor u(t).\nAnswer: t*(t - 1)*(t + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 10 = 0, t + s - 4*s - 10 = 0. Suppose -b - t = -3*b. What is the third derivative of 3*g**3 - 2*g**3 - 3*g**3 + b*g**2 wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 2*n + 1. Let q(f) = -292966*f**3 - 6*f**2 + 11*f - 7. Let l(r) = -q(r) - 5*v(r). Let k be l(3). Round k to the nearest 100000.\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a2a5 (base 12) in base 6?\nAnswer: -4213525","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z. Suppose -5*u = -2*u - 6. Let q be o(u). Let w be (54 - -1)*((-34)\/(-5) + q). Calculate the highest common factor of w and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**4\/12 - 3*z**3\/2 - 2*z**2. Let r be ((-3)\/(-2))\/(8\/(-32)). What is p(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4f (base 16) to base 13\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-130))\/(106\/265).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93212*v**2 + 55311*v**2 - 2*v**3 - 45036*v**2.\nAnswer: -2*v**3 + 103487*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148789625 is divided by 125.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*d - 14 = 3, -2*d + 10 = s. Determine w so that w**4 + 15*w**3 + 6*w**2 + 12*w**2 + 2*w**4 + s*w + 6*w**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.37 + -0.63. Which is smaller: 1\/34 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1062.0826 - -0.15.\nAnswer: 1062.2326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.96 + -0.04. Let q = 0 - p. Let f be 2\/(-6) + 52\/12. Sort q, f, -3.\nAnswer: -3, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10)\/3*204\/64 and -22\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -263 + 277. Suppose 2*m + x*m = 48. Sort -3, 0, 2, m.\nAnswer: -3, 0, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 3*k - 0*k - 3, k = -4*f + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (sqrt(80) + 1*sqrt(80)*-4 + sqrt(80)))*-2)\/(sqrt(80)\/sqrt(32)*3).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 613226 to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 12.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*n - 4. Suppose n*h - h = 1. Solve -5 + h = -3*b + 2*v, b - 2*v = 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(-2\/5)*a*a*a)\/((a\/(a**(-1)*a))\/a))\/(a**0*a)**15)**47)**(-49) assuming a is positive.\nAnswer: a**(131271\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0319 - 0.34.\nAnswer: -0.3719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -5, 0.5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/40 + (-25)\/(-125))\/((-39)\/12).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.243826 rounded to two dps?\nAnswer: -5.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**3\/9 + a**2\/9 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64*x**5 - 2*x**4 - 8*x + 10?\nAnswer: 1280*x**3 - 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1350 by -75.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**5\/60 + 5*g**4\/24 + 2*g**3 + 28*g**2. Let h be l(7). Which is the third biggest value? (a) 0.4 (b) h (c) -6 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 256.01 - 253.01. What is the nearest to -4\/5 in 2\/11, 5, d, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:31 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*x**3 + 14944 - 3*x**2 + 5*x**3 + x - 14928 + 2*x**2 as i*x**2 + b + y*x + s*x**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + s = 4*s + 816, 2*s - 841 = -3*d. List the prime factors of d.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/19 and 8\/11.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2707230?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -391438*n**2 + 1047491*n wrt n?\nAnswer: -782876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 7 = -0*m + 4*m, 4*m + t - 13 = 0. Find the first derivative of -4595*v**m + 4659*v**2 - 23 + 3*v - 3*v wrt v.\nAnswer: 128*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (63\/14)\/(1\/(-2)). Let d(i) = 5*i - 3. Suppose x + 29 = 5*f, 5*f - 8 = -4*x + 1. Let n(m) = -11*m + 7. Calculate j*d(k) + x*n(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and -0.57.\nAnswer: 0.0285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 11 = -1. Let g be (10\/(-4))\/(2\/(-24)). What is the greatest common factor of g and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**4 + 1569*l**3\/5 + 3648*l**2 - 34356*l\/5 - 3312 = 0 for l.\nAnswer: -12, -2\/5, 2, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 1:56 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25895\/22650 - (-32)\/(-24). Let v = p - 3\/302. Put 4, 5\/3, v in ascending order.\nAnswer: v, 5\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 + 558*g**2 + 559*g + 813. What is y(-278)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - d + 5. Let l be k(0). Solve -12 = 2*t - l*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**2 + 2*t + 3. Let l be b(-2). Let h = -23 - l. Calculate the common denominator of 1\/2*(-35)\/h and -101\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(2\/(2 - 0)). Let g(f) = -4*f**2. Suppose -q = 2*u - 11, 3*u - u = 2*q - 4. Let c(z) = u*z**2 - 2*z**2 + 10*z**2. What is s*c(x) - 8*g(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-43569)\/(-12)*1 + 17\/68 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z = -1207 + 1159 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 10*o**2 + 2*o - 1. Let p(s) = 3 - 3 + 2*s - 4*s + 2*s**2 - 2 - s**3. Let a be p(2). Is x(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 101 + -4?\nAnswer: db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7037, 28237, 63589, 113093, 176749?\nAnswer: 254557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -36, 3\/2.\nAnswer: -36, -1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 919.9 rounded to the nearest ten?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7161.\nAnswer: 3, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -77*p**2 + 79*p**2 + 3 + 4*p + 0*p. Let y(u) be the first derivative of u**4\/4 - u**3\/3 - u**2\/2 - u + 40. What is -j(s) - 2*y(s)?\nAnswer: -2*s**3 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 10:38 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (-23 - 19)) + -25?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 11:05 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n - 47 + 2 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20000 - 139998\/7. Let n(f) = -f + 4. Let z be n(3). What is the second smallest value in z, -0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 20\/7, 294, -3, 1, -14\/19.\nAnswer: -3, -14\/19, 1, 2, 20\/7, 294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/150 and -17\/2150.\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3867499 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34*a**3*j + 2*a**3 - 21*a**2 - 484*a + 282027*j + 900 wrt j?\nAnswer: -34*a**3 + 282027","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 0 + 1\/12*s**4 - 3*s + 0*s**2 - 1\/6*s**3. Let d be b(2). Solve -d*n + 6 = -0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(25)\/(sqrt(10)\/sqrt(2)) + sqrt(875)\/sqrt(7) - (2 + (sqrt(20) + 0)**2 - sqrt(20)).\nAnswer: -22 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/4 - 2693*m\/4 - 6039 = 0. Calculate m.\nAnswer: -2684, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110 - 11?\nAnswer: 1001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36596 divided by -1307.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 + -18. Let q = b - 34. Suppose 12 = k - q. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a7a (base 13) in base 11?\nAnswer: 1389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f + 5. Let o = 31 + -37. Calculate h(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**5\/20 - 3*z**4\/4 - 2*z**3 - 6*z**2 - z. Let n be q(-8). Calculate the highest common factor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17121527251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116 - 25. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -316357 less than -316359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-6 - (14 + -2) - -38).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3156686298 rounded to three decimal places?\nAnswer: -0.316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0. Let y = a - -0.8. Let f = -4 + 6. Does f = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3.3288012us?\nAnswer: 0.000000000924667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5}. Give prob of picking 2 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y**(2\/3)*y)*y*y**(3\/8))**(1\/12)*(y**(1\/3))**34*y**(2\/17)*y**(-8) assuming y is positive.\nAnswer: y**(17593\/4896)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -w + 41, 2*o + 0*o - 208 = -5*w. Let c be 30\/165 - w\/(-11). What is the second derivative of h + 26*h**c + 2*h**4 - h + 2*h wrt h?\nAnswer: 336*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2870 and 910.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {b: 9, u: 1, y: 1, x: 3}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 10*h**2 - 10*h + 20. What is the remainder when 33 is divided by f(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*l = 26*l + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q**2 + 6*q + 9. Let o(b) = 4*b**2 - 5*b - 8. Let r(d) = -2*l(d) - 3*o(d). Let h = -828 - -832. Calculate r(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -610*q - 607. Let c be f(-1). Solve o = c*u - 12, 0 = o - 2*o + 4*u - 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -15. Solve f + 1 = -l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/2 - 1)*2\/28\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13228, -13230, -13232?\nAnswer: -13234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -154440 + -0.456\nAnswer: -154440.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179949*i - 359596*i + 180253*i.\nAnswer: 606*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 4. Let n(h) = -3*h**3 - 16*h**2 - 3*h + 7. Let f be n(-5). Determine v(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 184\/(-14) - (-32 + 21)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -8.22?\nAnswer: 7.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*h + 2*h + 5, 3*n - 19 = -4*h. Solve 0 = i + 2 - n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 + 198*p - 198*p - 2 + (9*p**2 + 26*p - 26*p)*(0*p + 2*p + 0*p) in the form a*p**3 + n + d*p + k*p**2 and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 425995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 + -45.3. Which is smaller: l or -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g - 1 + 2*g + g)*(195 + 10891 - 1163) to the form z*g + h and give h.\nAnswer: -9923","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**3\/3 - 13*s**2\/2 - 4*s - 2793. Let t = 0 - -14. Calculate m(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 31 = 3*x, -5*t - x = 4 - 31. Let f be 20\/9 - 2\/9. Suppose 0 = t*y + h - 734, -f*y - 8 = -5*h - 280. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*y = -16, -5*d - y + 19 + 8 = 0. Let s be 0\/(((-16)\/(-12))\/((-16)\/(-36))). Solve s = -d*g + j + 1, -3*g + 2 = -7*g - 2*j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 5*v**2 + 4. Let g be x(4). Suppose 3*d + g = i - 3*i, -3*i = -3*d. Calculate the smallest common multiple of 1\/d - (-246)\/24 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (62\/(-8))\/((-4)\/16). Suppose 0 = 3*r - 4*r + k. What is the remainder when r is divided by (3 + 0)\/((-9)\/(-48))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.9 + 139.1. Let w = -140 + y. What is the third smallest value in -1\/2, w, 1.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14919814.\nAnswer: 2, 7, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from lqqlqlqqlqlqlqlllqll?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676 is divided by 472.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.6 (b) -5 (c) 24\/71 (d) 0.53 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(35))\/sqrt(7) + 2 + ((sqrt(320) + -1)*-2)**2 - (-5 + 4 + (sqrt(5) + 0)*6*4)**2.\nAnswer: -1595 - 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-15))\/(-2))\/(4\/(-5))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3850 and 4000.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**3\/7 - 222644*j**2\/7 + 445282*j\/7 - 222640\/7 = 0.\nAnswer: 1, 111320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 10 = -5*p + 2*x, -27 = p - 5*x. What is the second biggest value in -4, 4, 5, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 5\/12*t**4 + 0*t**5 + 0 - 13*t + 8\/15*t**6 + 0*t**3 + 0*t**2. What is the third derivative of p(y) wrt y?\nAnswer: 384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11101 divided by -653\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 104685385, 104685389, 104685393?\n\"Answer: 4*b + 104685381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2248 <= 2248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u + 69 - 4069 = 0. Calculate the remainder when u is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -292, -2.76, 4?\nAnswer: -292","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -518863, -518861, -518859, -518857?\nAnswer: -518855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 + (-9)\/(-2))\/((-14)\/12). What is the closest to 3\/10 in 3, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 2*v - 7. Determine u(7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((182\/77)\/(-13))\/((-348)\/319).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - m**2 + 4*m - 2. Let d be t(1). Solve 2 = -d*y + 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 times 5?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-7) + (-2)\/(-7). Suppose 5 = 2*z + h. Suppose -4*x = z*q - 12, 0*q + 4*q + 3*x - 44 = 0. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 60, 17\/5, -5, -2\/9, -3\/5, -294, 5?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -9*o**2 + 0*o**5 + 0*o**6 + 0 + 0*o + 0*o**3 + 0*o**7 - 17\/24*o**4 - 1\/84*o**8. What is the second derivative of d(x) wrt x?\nAnswer: -80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/((12\/(-16472))\/(-3)*(-36)\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1283262, 1283138, 1283014, 1282890?\n\"Answer: -124*u + 1283386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12 + (-1474)\/121 + (-147)\/(-264). Solve -f*a - 1\/8*a**3 + 5\/8*a**2 - 9\/8 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -476*f + 14?\nAnswer: -476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, s: 1, v: 4, a: 1, u: 3}. Give prob of picking 1 v and 3 u.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 32. Let k = -8 + 11. Let m be k + (-38)\/9 - -1. Which is greater: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.141 (b) 5 (c) 1391\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*b + 1965 + 402 = -623 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**5\/30 + 68*y**4\/9 + 1285*y**3\/9 + 1050*y**2 + 4027*y. What is p in q(p) = 0?\nAnswer: -126, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from {x: 1, w: 5, j: 5, s: 1}.\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - -1 - (8 + 7 + (-11 - 9))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.138\nAnswer: -0.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 times 0.0542?\nAnswer: 0.07588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 152*z**2 - 2*z. What is the units digit of o(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1311093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - (-38)\/(-6) - -3)*(-51)\/85. Which is the fourth biggest value? (a) -0.4 (b) 16 (c) -0.1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, 2.03, 0, 63?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.11 (b) -4 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/175, -3\/19, 2, 6, 4\/7 in descending order.\nAnswer: 6, 2, 4\/7, -12\/175, -3\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/431 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53424?\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**3 + 40*z**2 + 95*z - 167. Determine j(22).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 1:10 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 20. Suppose 4*v + 19 - 373 = u*z, 0 = -v - 3*z + 71. Let j = -29 + 115. Is j equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 17*r**5\/5 + 17*r**3\/3 + 32. What is the third derivative of m(p) wrt p?\nAnswer: 408*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, l: 2, q: 2}. Give prob of sequence lqjj.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -7)\/(-5)*6. Let r be z - -66 - (6 + -1). Is r less than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -564*n - 537*n + 1112*n.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**8\/168 - w**6\/60 + w**2 - 114*w. Factor o(i).\nAnswer: 2*i**3*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, -2, 70, -9, 2\/5?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 3:57 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1635794561 + -1635794030.00000251. Let y = -531 + m. Round y to 7 dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6916*b**3 - 1690*b**3 + 786*b**3 - 1247*b**3 - 2944*b**3 + 2 to the form p + i*b**3 + u*b + l*b**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14227 (base 8) in base 16?\nAnswer: 1897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202112 (base 3) to base 6.\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 428954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 b, and 2 t when four letters picked without replacement from putautsbptbb.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2979? (a) -0.1559 (b) 0.06 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -10*h**2 + 1\/540*h**6 + 5\/108*h**4 - 2\/135*h**5 + 0 - 2\/27*h**3 + 0*h. What is k in u(k) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 40 = -5. Suppose p - w - 26 = 0, -p - 4*w + x = -4. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**5\/20 - g**4\/6 + g**2\/2 - 12*g. Let t be x(4). Let y = 113 - t. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*(2 - 1) - 5. Let f(a) = a**3 - a**2 + 268. What are the prime factors of f(b)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 2*h**7\/21 + 2*h**6 + 72*h**5\/5 + 36*h**4 - 120*h. Let l(t) = 0. What is t?\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(5*m**3 + 6*m**2 - 6*m**2 + (98 - 98 - 13*m)*(-1 - 2*m**2 + 1)).\nAnswer: 62*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 82*p**2 - 26*p - 28. What is the remainder when f(-4) is divided by 116?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4029 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/2 (b) -2\/89 (c) -4 (d) 4\/7 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert e8b976 (base 16) to base 12.\nAnswer: 513635a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229*u + 102 - 36 = -8 - 155. Let z(h) = 3*h**2 + 1 - 2*h**2 - 4. Let x(c) = c**2. Give u*z(r) - 2*x(r).\nAnswer: -3*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-6)\/3264*552\/23?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n + 9*n - 3 - 2*n + 6 - 3*n. Determine x(10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22561.567 to zero decimal places.\nAnswer: -22562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-26)\/3))\/(210\/(-56)).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 + -63. Let l be (2\/(-5) - 0)\/(z\/(-5)). Suppose -l*y = -4*y - 0*y. Solve y = p + 3 - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23690452+5\nAnswer: 23690457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -62*h. List the prime factors of r(-2).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 - 4*x**2 - 356*x - 924.\nAnswer: 4*(x - 11)*(x + 3)*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t + 41. Let z be m(13). Let x = 410 - z. Does 38 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 5*w + 40, 531 - 336 = -r - 40*w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62564, 63113, 63650, 64169, 64664, 65129, 65558, 65945?\nAnswer: 66284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66\/23*f - 2\/23*f**5 - 18\/23*f**4 - 18\/23 - 4*f**2 - 60\/23*f**3.\nAnswer: -2*(f + 1)**3*(f + 3)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -8*v + 23. Let n be q(0). What is the derivative of 74*a + 58*a + 42*a + 69 - n*a wrt a?\nAnswer: 151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*l - 26 = -2*m, 33 = 5*m + 2*l. Suppose 0 = -4*w + 3 + 13, -x - 5*w + 38 = 0. Let o be m\/(-15)*x\/2. What is the nearest to -1\/2 in o, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n. Let m(i) be the third derivative of 21*i**5\/5 + 3*i**2 + 21. Determine m(l(a)).\nAnswer: 252*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -26*s + 300. Let n = s + 94. Is 57 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**8\/672 - a**7\/140 - a**6\/80 - a**5\/120 - 9*a**2. Find t such that r(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 560 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/9)\/h*h**(-2\/7)\/h)\/(h**1)**32)**(1\/12))**(3\/11) assuming h is positive.\nAnswer: h**(-1073\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -67ab + -26d?\nAnswer: -6a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 89325503 to the power of 1\/4, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81865524.\nAnswer: 2, 3, 13, 509, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.29 - 3.71. Let i = 5 + -6. Let w = 0.9 + i. What is the closest to w in y, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6285\/4 + 1561. What is the common denominator of -169\/60 and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/175)\/((-64)\/(21056\/(-141)))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1836 divided by -6.\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 16*r**2 + 17*r - 123. What is o(-14)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57089, -57314, -57539?\nAnswer: -57764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 219 and 62074236?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c. Let t(u) = -5957*u. Calculate p(t(x)).\nAnswer: 11914*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 + -32. Let b = -21 + u. Suppose 0 = d - b*z + 9, 14 = 3*d + 3*z - 4. Sort d, 3, 2, 4 in decreasing order.\nAnswer: 4, 3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k. Let l = 99 - -201. Let n(w) = l*w + 2*w**2 - 300*w. Give r(n(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8419 - -3173965\/377. Let x be (-10)\/(-55) + 29764\/(-74646). Let i = o - x. What is the closest to 2\/3 in -1, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**4\/12 - x**3 - 2*x - 4. Let q(v) be the first derivative of p(v). Let t be -10 - (-4)\/2 - -3. Calculate q(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26 - (3\/(-3) - -5). Suppose -w + 113 = 3*b + 2*i, 3*b = 5*i + 119. What is the smallest common multiple of b and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(2 - (-9)\/(-5)). Suppose -t + 3*w + s = 0, 0*w = -w - 1. Suppose -d = -2, -3*u + 3*d = -u + t. Calculate the lowest common multiple of u and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41641 is divided by 382.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3 - 20226*b**2 + 907120*b - 10068000 = 0 for b.\nAnswer: 20, 25, 10068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 78820, 78800, 78780?\n\"Answer: -20*t + 78840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 1 - 1*228759\/36. Let h be -3 + 3\/(-3) + 6347. Let u = g + h. Calculate the common denominator of -69\/16 and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*s + 185825 - 182063 = 0 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -7 - (7 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*(-6*(0 + -6*(sqrt(128) + 1 + sqrt(128))))**2*-6*6 + -3).\nAnswer: -430821495 - 26873856*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 (base 11) in base 13?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 84167567 divided by 7651597?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-12)))\/n**(1\/4) assuming n is positive.\nAnswer: n**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 926582 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -294 divided by 2549?\nAnswer: -294\/2549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440237 is divided by 1785?\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine tenths of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -74, -148, -222?\n\"Answer: -74*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 7*h + 10. Suppose -5*v - 4*g - g - h = 0, -5*v = -3*g - 27. Solve -2*o - u + 9 = -o, -v*u + 12 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36091.3l in millilitres?\nAnswer: 36091300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/20*(3 + -1). Is v > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-888)\/(-48))\/(-37))\/((-2)\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00099214921 to 6 decimal places.\nAnswer: -0.000992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/5*(-9 - -4). Suppose 3*u - u = c*x, 4*u = 2*x. Solve 5*v - 7 - 3 = u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1, 3\/13, -1554, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00700262 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 0*g**5 + 0*g**4 + 317\/30*g**6 + 4*g**2 - 5\/6*g**3 + 17 + 3*g. Find the second derivative of k(t) wrt t.\nAnswer: 3804*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*f - 31 = k + 165*f, 4*k - 2*f = 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*p - 294, -5*x = -p - 2*x + 96. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5200704.30177 - 5198046.29. Let o = s - 2658. Round o to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 5 - 5)*(4 + 3 + 5) - 6*g + 2*g + g in the form v + p*g and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 - (-3 - (3 - 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 11) to base 15.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 7*s - 6. Suppose 7 = -7*x + 28. Suppose 18 = x*k + 9. Suppose l - 4*l - 2 = g, 0 = -4*g - k*l + 19. What is n(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(27) - sqrt(81)\/sqrt(3))\/sqrt(9) + sqrt(3) + 2 + sqrt(27)).\nAnswer: 10 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 54, 165, 290, 435, 606, 809, 1050, 1335?\n\"Answer: m**3 + m**2 + 101*m - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r - 9. Suppose r*t - 3*k = -4*k + 44, -3*k = 2*t - 27. Let p = t + -13. Solve -b = p - 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -648 bigger than -7122\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -17249.436 rounded to the nearest 100?\nAnswer: -17200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 4. Let b(u) = -5. Suppose -3*w - 20 = -2*m, -2*m = 5*w + 4 + 8. Let o be ((-166)\/(-498))\/(2\/(-30)). Give m*b(r) + o*n(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -3*b**2 + 0*b**3 + 0 + 0*b**4 - b + 1\/5*b**5. Find the first derivative of i(y) wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - l - l)*(2*l - 3*l - l)*(l + 2*l - 4*l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 255844 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96 - 88. Suppose 4*q - 4 + 0 = 0, k = 4*z - 4*q. List the prime factors of 11*3\/z*2*8.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -1)\/(12 + (-3324)\/276)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 4:56 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*r - 4 = -50*r, 5*r - 14 = -2*o. What is the highest common divisor of 486 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(5\/11)\/(z**4\/(z*z\/(z*z**1)*z)) assuming z is positive.\nAnswer: z**(-28\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2120202010 + 2?\nAnswer: 2120202012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7}. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42.3875544 + -0.3835056. Let h = g + 42.071. Let o = -0.7 - h. What is o rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -13. Sort 2, -2, k in ascending order.\nAnswer: -2, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1577 + 62?\nAnswer: -1515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 60.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 168\/5 - 2\/5*k**2 + 166\/5*k = 0. What is k?\nAnswer: -1, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/6*(-37)\/(139601\/2940).\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*-1*-2)\/(sqrt(24)\/(sqrt(3)*-2)))\/((1*sqrt(1920))\/(1*sqrt(30)\/sqrt(3))).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -6045614.\nAnswer: -15\/6045614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -5)*((-120)\/(-350))\/(-12)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7)**10*(a\/a**(1\/12))**19 assuming a is positive.\nAnswer: a**(1049\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/63? (a) -4 (b) -20 (c) -5\/6 (d) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*k = -203*k + 136. Is 34 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**5\/5 - x**4\/24 - 158*x**2. Let t(a) = -5*a**2. What is t(q(k))?\nAnswer: -720*k**4 + 120*k**3 - 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*o = 194, -2*o - 3 + 7 = 0. Calculate the remainder when n is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyyvxxvvxv. Give prob of sequence yx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 4*g, 2 = -4*n + 5*g + 29. Solve -4*v = 4 + 12, 5*v + 26 = -n*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 4) + (-7 - -3) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9244?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-406449)\/167544)\/((-7)\/2 - 1). Let x = 17\/2148 + q. Calculate the common denominator of -23\/18 and x.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 14*j - 9*j - 4*p, -9*j + p = -79. What is the smallest common multiple of 1387 and j?\nAnswer: 11096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -2*v**6\/5 - 2*v**5\/25 + 18*v**4\/5 + 36*v**3\/5 + 26*v**2\/5 + 6*v\/5 - 590. Determine q, given that j(q) = 0.\nAnswer: -1, -1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205 + 5*h**2 - 9*h**2 + h**2 + 22*h + 4*h**2.\nAnswer: h**2 + 22*h + 205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, s: 2, u: 8, x: 2}. What is prob of picking 3 u?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 23.2. Let z = k + 1. Let v be 6*(-4)\/132 - (-31)\/(-11). Which is the closest to v? (a) z (b) -1\/4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/7 + (-255)\/(-35). Let i(c) = 3*c - 7. Let f(t) = 3*t - 6. Calculate x*f(h) - 6*i(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 334141\/22 + -15191. Let s = 1\/1237 - -171895\/59376. What is the common denominator of s and t?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*o + 2*o. Suppose 4*d - 2 = 94. Suppose 4*c = -o*t + 34, 7*t - d = 5*t + c. Calculate the greatest common divisor of t and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400510263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -30761 (b) 15 (c) -3 (d) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/22 - 5\/11. Let g be (-1)\/(7\/4 + -2). Suppose 17 = -g*x + 5. Which is the smallest value? (a) f (b) -1\/7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1006 = -2*a + 4*a. Is a*(-4 + (-20)\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 403466, 806922, 1210378, 1613834?\n\"Answer: 403456*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*c + 45*c - c**3 - 2 - 24*c - 208*c - 149*c to the form f*c**2 + a*c + o + g*c**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12022212111 (base 3) to base 10.\nAnswer: 104881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 9*y + 4. Let o(z) = -28*z - 22. Let k(g) = -6*g - 5. Let i(p) = -4*k(p) + o(p). What is -13*i(r) - 6*v(r)?\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 15*t = 30. Solve -t*a + 5 = -4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21251*v**5 - 8481*v - 2.\nAnswer: -425020*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0334 times 1?\nAnswer: 0.0334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eje when three letters picked without replacement from {x: 11, e: 2, q: 1, j: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 466 or 1394\/3?\nAnswer: 1394\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2\/11 + 42246*u\/11 - 42268 = 0. What is u?\nAnswer: -21134, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39359864?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 11:47 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14, 51, 112, 197, 306, 439, 596?\n\"Answer: 12*i**2 + i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -8*t + 4*i - 35, 5*t = -5*i + 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120110221002 (base 3) in base 13?\nAnswer: a88a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1442 (base 5) to base 4\nAnswer: -3313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q - 7*q + 1288 - 1288.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 1. Let s(d) = -d**2 - 2*d - 5. Let r(k) = 2*n(k) + s(k). Differentiate r(b) wrt b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*l - 5*n - 16, 5*n + 20 = 0. Let i(z) = 3*z - z**l - 3*z. Let x(m) = 8*m**2 + 2*m. Let c = 2700913 + -2700919. Determine c*i(b) - x(b).\nAnswer: -2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1084 - -60175?\nAnswer: 58081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1697528189 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -0.1, 7.82, 5628?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-4)\/(112\/(-294))).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 2\/3, 7, 0.1, -9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-4256)\/119 - 20.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2368 + 4744 - g**2 - 2348 - 13*g to y*g + m*g**2 + c and give c.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 7 + 4 + 11 + i + 11 + 47*i**2 as q*i + j*i**2 + c and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29*o**4 + 2*o**2 + 2 + 261689*o - 3*o**3 + 261677*o - 523378*o)*(-1 + 1 - 1) to t*o**2 + m*o**4 + b + c*o + i*o**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197 = 10*w + 267 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8428 + 0.6428. Which is the nearest to -2\/105? (a) j (b) -2 (c) 2\/3 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 125*g - 3498. What is n(28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 133 (base 5) to base 4\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -1 - 2*g**2 - 4*g**2 + g + 4*g**2. Suppose -3*a - o - 6 = -8*a, -2*a + o = 0. Calculate w(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = z + 13 - 0, 3*z - 33 = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eexo when four letters picked without replacement from xoxxexeexeexex?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 229.64+217398411\nAnswer: 217398640.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.192935g to tonnes.\nAnswer: 0.000004192935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 163179.\nAnswer: -489537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**3 - 48*f**2 - 8*f + 221. Determine p(-10).\nAnswer: -499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29984?\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11831\/72 + -1534\/9. Find the common denominator of (-2)\/5 + 68\/(-10) and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9589 at most as big as 9591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 11. Which is greater: d or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-6)\/(j*j\/(j\/(j\/j**(1\/9))))*(j*j**1*j)**(4\/5)*((j\/((j**(-2\/5)\/j)\/j))\/j**(-1\/5))**(-3\/29) assuming j is positive.\nAnswer: j**(-7649\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1410 (base 12) to base 4\nAnswer: 210030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*p - 8, -2*d - 3*d + p - 7 = 0. Let g be (d + 2)*(2 + -1). Let t be (413 - (-2 - -5))\/g. What is t rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-14)\/(-6))\/((-4)\/(-12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (181*(-2)\/212)\/(33\/2) + (-70)\/(-770)?\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -14*d**3 + 10*d**2 - 302*d. Let z(x) = 12*x**3 - 8*x**2 + 304*x. Calculate 5*r(g) + 6*z(g).\nAnswer: 2*g**3 + 2*g**2 + 314*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 86086.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**4\/12 + 7*f**3\/3 + 31*f**2\/2 - f + 64. What are the prime factors of d(-18)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3768257*d**2 - 3581*d - 236 wrt d?\nAnswer: 7536514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 1:18 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3262 and 0.06?\nAnswer: 3261.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -1463*u**4\/4 - 1139*u**2\/2 - 1649. What is the second derivative of t(o) wrt o?\nAnswer: -8778*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 9:44 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1235 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 586 - ((-6 - 0) + 2) and 14?\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-160)\/300*85\/102\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -32830*b. Let m(c) = 556*c**2. Give p(m(f)).\nAnswer: -18253480*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l + 15. Let q(m) = m**3 + m**2 + m - 7. Let s be q(0). Let n be p(s). Which is greater: n or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*r + 3130 = 58*r. Let u = 340 - r. Is u a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052951352?\nAnswer: 2, 3, 173, 253601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -25*f**3 - 4*f**2 + 9*f + 11. Let p be c(-7). Let y = p + -4686. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 508577 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 1:56 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r = 34*r - 4900. Is 49 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 2:25 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 7*d**2 - 11*d - 3. Let v be q(-8). Let c = v + -10. Let z = 39 + -6. Calculate the greatest common factor of z and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 12 = 4*v, 4*v = -3*y + 4 + 19. Let j = 19 + -17. What is the least common multiple of j and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(19) + -3 + sqrt(190)\/sqrt(10))**2 + -3.\nAnswer: -24*sqrt(19) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 1 = -4*a - 2*b, -5*b - 25 = 0. Suppose -3*y + 4*v - 27 = 0, -v - a = -2*y - 25. Is 4 a factor of 1*y*-2 + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q + 9*q + 2933 - 5867 + 2934.\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -170 from 3735733.4.\nAnswer: 3735903.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -23\/3, 3.8, -2?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - n - 114 = 0, -c - 4*n = -0*n - 134. Let p = 198 - c. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75 + 156. Find the second derivative of -24*h - 6*h**2 - 4*h**2 + r*h wrt h.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 q when three letters picked without replacement from {x: 7, q: 1, t: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-264)*(35 - 53)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 2*q**2 - 2*q. Let f be (81\/15)\/3 + 4\/(-5). Let x(w) = w**2 - w. Calculate f*h(g) - 2*x(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 5, 2*h - 3*h - 91 = -3*n. Let c = h + 99. Let q(j) = -j**3 - 7*j**2 + 4. Calculate q(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 - (3 + -4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 12*x + 46. Suppose 16*n - 12 = 19*n. Let f be z(n). Let r be ((-3)\/(-4))\/(f\/16). Let c(v) = 4*v + 5. Let b(u) = 5*u + 6. Give r*c(k) + 5*b(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/2*(-6)\/(24\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*g, -2*o + 8 = -3*o - 3*g. Let u be 2 + 0 + o + -2. Let x = 11.04363 - 11.44363. Which is the biggest value? (a) u (b) x (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3659547 (b) 0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 25*g**2 + 58*g - 102. Let f be j(25). Suppose -14*v = -25*v + f. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -368, -738, -1108, -1478?\n\"Answer: -370*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -54. Let d be 24\/10*(-165)\/t. Is 2 a factor of -16 + d + 1 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 9*g**2 - 2*g - 67. What is i(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/h**9))*h)\/(h\/h**5) assuming h is positive.\nAnswer: h**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 440?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(12) - sqrt(60)\/(sqrt(5) - sqrt(80) - sqrt(5)))*1)**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*n, 2*n - 35 = -2*r - 39. Let d(y) = -8*y**2 - y - 1. Determine d(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -13*u**2 - 21*u - 11. Let c(o) = -7*o**2 - 11*o - 6. What is 11*c(z) - 6*i(z)?\nAnswer: z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r + 17*r + 9*r**2 - 50*r + 20*r.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*t - 5. Let o = -3 - t. Suppose 5*a = 15*a. Put a, 1, o in decreasing order.\nAnswer: o, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476577 is divided by 136.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3324.753 nanometers to millimeters.\nAnswer: 0.003324753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1331)*3.\nAnswer: 4 + 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2514.9999993145 + 2515. Round n to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*1\/(-1)*(-16)\/32.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -63081973282 - 0.1\nAnswer: -63081973282.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1944, 0.4, 659?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -246, -2, -4.\nAnswer: -246, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 (base 14) in base 5?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50.2 + 50. What is the second smallest value in x, 4, 13\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**2 + 64*n. Let k(u) = -u**2 + 6*u. Calculate 2*k(t) + x(t).\nAnswer: 2*t**2 + 76*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -10 + -11 - -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 18*v**2 - 22*v + 71. Let l(w) = -2*w**3 - 62*w**2 - 68*w - 221. Let t be l(-30). Calculate r(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -136 - -92. Let s = 395\/9 + l. Let z = 8.4 + 0.6. Which is the biggest value? (a) s (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - 21635?\nAnswer: -21647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f, -21*c + 25*c - 2*f - 16 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -86038?\nAnswer: 5\/86038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36758 (base 14) to base 11.\nAnswer: -91057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -49, -100, -185, -316?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 15\/8*z**3 - 3\/2*z**4 + 3\/8*z**5 - 3\/4*z**2 + 0*z.\nAnswer: 3*z**2*(z - 2)*(z - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 18566001?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 4*r + 227. Let g = r - -61. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -743, -3603, -8573, -15647, -24819, -36083, -49433, -64863?\nAnswer: -82367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/9 + 10*k**2\/9 + 466*k\/9 + 418\/3.\nAnswer: -2*(k - 19)*(k + 3)*(k + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z - 3. Let n = -1 - -3. Suppose -d = 2 + n. What is the units digit of q(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 13*h - 14. Let r be m(12). Is ((-1)\/r)\/(4\/2456) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 1438 + w**2 + 394 + 481 + 456.\nAnswer: w**2 - 4*w - 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*w**5\/5 + 321117*w**4\/5 - 2847996*w**3\/5 - 361017*w**2\/5 = 0. Calculate w.\nAnswer: -1\/8, 0, 9, 13371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s - 5. Let y(k) = 4*k + 1. Let l(c) = -7*c - 6. Let t(q) = -6*q - 5. Let f(u) = 5*l(u) - 6*t(u). Let a(m) = 5*f(m) - y(m). What is 6*a(z) - o(z)?\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 2\/3*x**3 - 4*x**2 - 133 + 129\/5*x**5 + 0*x**4 + x. Find the second derivative of q(p) wrt p.\nAnswer: 1548*p**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from oleewoowlloloorll?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2139 and 11.\nAnswer: 2150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4322031 (base 5) in base 2?\nAnswer: 10001111010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1 - 14*v - 3 - 7. Let c(m) = -5*m - 4. Let u(a) = 11*c(a) - 4*n(a). Let p(f) = f + f**2 - f. Calculate p(u(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 - -8. Which is smaller: t or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u + u + 2*u + (-2 - 1 + 4)*(-u + 2*u - 2*u) - 17 + 17 - u as c + j*u and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028 take away 20.4?\nAnswer: -20.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1856828, 3713346, 5569864, 7426382, 9282900, 11139418?\nAnswer: 12995936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 8 = 5*w + 2*i, 2*i = 5*w - 10. Suppose -5 = t + 4*b, -3*t + t = -2*b - 10. Let s = 7 - t. Solve -s*n + w = 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 31*g - 406. Calculate f(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 25. Suppose -4*f = n + 5 - 15, 0 = -5*n - 10. Let s be 2\/(3 - d\/f). Sort s, 3, 5 in descending order.\nAnswer: 5, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/2 and -27\/1039.\nAnswer: 2078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 - 4*a**2 - 9*a + 6. List the prime factors of i(-6).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 713945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 - 112333231?\nAnswer: -112333333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2166668*j**3 - 4*j**2 + 2*j + 6. Let k be w(-3). Suppose 4*n - k = -n. Round n to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n - 3*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3913?\nAnswer: 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13219*v + 13215*v + 4 + 13210*v - 39649*v - 4.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387664 is divided by 77527.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**0*z)\/z*z*z)**(12\/13) assuming z is positive.\nAnswer: z**(48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccg when four letters picked without replacement from {t: 1, c: 5, d: 10, g: 1}.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74 + 72. Let f be j*(-3)\/(-54) - 18\/(-162). Let p be (-11)\/(-2) - (-1)\/(-2). Solve f = 2*x + 5 + p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34, 63, 90, 115, 138, 159, 178?\n\"Answer: -q**2 + 32*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204 and 6?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8\/313 - -16252\/939. Let d = -1\/1146 - -19769\/573. Find the common denominator of o and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**5 + 10*g**4 - 25*g**3 - 30*g**2.\nAnswer: 5*g**2*(g - 2)*(g + 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from hhhohhhhhhohhhhhoh?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3000 (b) 35\/6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -3 (c) -0.3 (d) -5 (e) 2\/37 (f) 1\/14 (g) 0.82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g**2 - 6*g**2 + 2*g**2. Let v(y) = -535*y + 774*y - 251*y. Determine v(x(j)).\nAnswer: 96*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-252)\/8) - 60\/(-357).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 6. Let a(j) = 6*j - 30. Let t be a(6). Calculate z(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 + 2551.\nAnswer: 2550.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**9*r**6)**(5\/4)\/((r**(2\/5)\/(r\/r**(3\/2)))\/(r**(2\/7))**(-24)) assuming r is positive.\nAnswer: r**(-359\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87 + 6*u + u - 2*u - 3*u.\nAnswer: 2*u + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 3182912 = 47*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -u - 1171, u - 3*g = -709 - 476. Let v = u + 1680. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c = -3*r + 3*c + 301, -8*r - 3*c - 619 = -13*r - 196 for r.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -79*j**4\/4 - 30*j**2 + 44. What is the second derivative of d(z) wrt z?\nAnswer: -474*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -218, -742, -1570, -2702, -4138?\n\"Answer: -152*i**2 - 68*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6168306629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14845381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -32750349 greater than or equal to -32750349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, d: 1, l: 1, c: 2, p: 2, o: 8}. What is prob of picking 1 c and 2 o?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -182*m**3 + 4083*m + 874118 wrt m?\nAnswer: -546*m**2 + 4083","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/3*j**2 - 1\/6*j**5 - 1\/6 - 5\/3*j**3 - 5\/6*j**4 - 5\/6*j.\nAnswer: -(j + 1)**5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -36*a - 1. Let c be h(0). What are the prime factors of -7*c\/1 - -156?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 l when four letters picked without replacement from ffafunfluzuufaf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-65)\/52)\/((-3 + 8)\/(-40)). Let l = 309 + -274. What is the greatest common factor of m and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 + 12 + 0 + -7 + 6. Suppose -t + 2*w = k*w - 16, 2*t - 2*w = 0. Let a(q) = q - 5. Let j be a(5). Solve 24 = -4*d - t*h + 8, j = 3*d - 5*h + 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - (80 - 87 - (2 - (8 - -2))).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -26, -24, -20, -14, -6, 4?\n\"Answer: b**2 - b - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.52364 rounded to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 81*a - 77*a + 81 = 0, -n - 2*a + 33 = 0. Solve -n*x = 5*x + 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*a = 12, -40 = -3*y - 2*y - 5*a. Let x(h) be the second derivative of 6*h + 1\/9*h**y + 0*h**2 - 1\/4*h**4 + 0. Suppose x(n) = 0. Calculate n.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/5*(-11)\/(-231)*-7\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135 + -24 + -50 + -7?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/(2\/(-18)). Let v = 38 + -38.34. Let j = v + -0.16. Sort 0.12, d, j in decreasing order.\nAnswer: 0.12, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(-3*k**2 + 0*k - k**3 + 0*k).\nAnswer: 3*k**3 + 9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 2*t + 1788, 6*y - 7*y - 2*t = -457. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47632309 to the power of 1\/2, to the nearest integer?\nAnswer: 6902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.97 - 3.07. Which is smaller: p or -0.83?\nAnswer: -0.83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/23? (a) 269080 (b) -1\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.4, -1\/3, 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 23?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -171169 less than -2225208\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -216978, -433962, -650948, -867936?\n\"Answer: -y**2 - 216981*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5*7027.35\nAnswer: 35136.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 9:09 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -11*a**2 - 1 - 16*a**2 + 5*a**3 + 4*a + 19*a**2. What is the units digit of g(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(4114)*-2)\/(sqrt(6)\/sqrt(3)*2 - (sqrt(28)\/sqrt(2))\/sqrt(7)).\nAnswer: 110*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = k + 4, -2*r + 110 = 2*k. Let l = -52 + r. What is the units digit of 28\/(-3)*l*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003048 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/649 or 1?\nAnswer: -1\/649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -19*j**2 - 15*j - 3. Give w(-4).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (62\/(-1240))\/(6\/10)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*y + 5 - 5 - 3*y**2 - 17*y.\nAnswer: -3*y*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*n**5 + n - 24296*n**2 + 134*n**5 + 24204*n**2 wrt n?\nAnswer: 10800*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 110254 = 537404. Suppose -5*p = 5*t - n, -4*p + 6*p + t = 17088. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9515 (b) 13 (c) -395\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y = -2*y + 182. Let h be y\/(-24)*(2 - (11 + -17)). Factor 8\/3 + 4\/3*x**2 - 2\/3*x**3 + h*x.\nAnswer: -2*(x - 4)*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/168 and 16\/189?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52490639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**5 + 3*x**4 - x**3 - x**2 + 15*x - 5. Let n(g) = -3*g**5 + 4*g**4 + g**3 - 2*g**2 + 16*g - 4. Let j(o) = -3*n(o) + 4*p(o). Factor j(u).\nAnswer: (u - 2)*(u - 1)**2*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**2 - 166188*n + 24530112 = 0.\nAnswer: 148, 55248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3313424 * -2.\nAnswer: -6626848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2 + 20 - 273*b - 3*b**2 - 275*b + 559*b. Give s(-4).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4669903.\nAnswer: 7, 667129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, r: 1, j: 3, s: 6, v: 1}. Give prob of sequence jssj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**14)**(-46)\/(a**(-22)\/((a\/(a**18*a))\/a)) assuming a is positive.\nAnswer: a**(-687)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 5*d + 5*d)*(8*d + 2*d - 3*d)*(d + 3*d - 5*d)*(1 - 4 + 6).\nAnswer: -42*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -63.504 * -0.41\nAnswer: 26.03664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 + 3*v**2 + 9738 - 19467 + 9730.\nAnswer: 7*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 7921983?\nAnswer: -4\/7921983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -7. Suppose g*c = 3*c + 33. Suppose 4*z - 131 = 3*f + 202, 0 = -5*z + 5*f + 410. Calculate the remainder when z is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.0667 rounded to two decimal places?\nAnswer: -11.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -27, -38, -59, -96, -155?\n\"Answer: -r**3 + r**2 - 7*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + (sqrt(605) - sqrt(605)*2))**2 + ((sqrt(5)*-1 - sqrt(5)) + -3 - sqrt(5)).\nAnswer: -3*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-273338)\/(-18) - ((-42)\/27 + 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1017248629?\nAnswer: 28069, 36241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -24*o**3 - 2*o**2 + o + 1. Let k(y) = -y**3 - y**2 - y + 1. Give -c(x) + 2*k(x).\nAnswer: 22*x**3 - 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 90*y + 35\/2*y**3 - 75*y**2 - 20.\nAnswer: 5*(y - 2)**2*(7*y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 96?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*m**3 + 103*m**3 + 400*m**3 + 17*m**3.\nAnswer: 601*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5258319 and 10085?\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 4:58 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 8:02 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 3*w - 5. Let j(p) = -p + 2. Let b(z) = 5*j(z) + 2*x(z). Let k be b(1). What is the derivative of 0 + 2*d**k + 1 + 1 wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + t**2 - t + 5. Let k be g(0). Let s = 4 - k. Let m(z) = 13*z**2 + z. Give m(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*s**2 + 42*s + 17*s**2 + 58*s**2 - 1 - 25*s**2.\nAnswer: 90*s**2 + 42*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppmymypypyy. Give prob of sequence ymp.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**6 - 2*n**4 + 2184*n**3 - 11*n**2 - 103*n - 1 wrt n.\nAnswer: -120*n**3 - 48*n + 13104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.062 - -19.\nAnswer: 18.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-5))\/(-16)*-1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -381a1 (base 12) in base 9?\nAnswer: -125584","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 22*g**2 - 15*g + 58. Let d be n(-19). Suppose -5*b = -0*b - d. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1527*u + 2460*u = 32655 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, 12, 4.\nAnswer: -71, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (0 + sqrt(5000) + sqrt(5000) - sqrt(2048)*-1)*-4*-2)**2.\nAnswer: 6336*sqrt(2) + 2230281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 93*n**3 + 94*n**3 - n - n**2 + 3 to x + p*n + b*n**3 + f*n**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 247.1734 weeks to minutes.\nAnswer: 2491507.872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 - q**2 + 6*q**2)*(3*q**2 - 1135663*q - 25 + 1135662*q - 25).\nAnswer: 6*q**4 - 2*q**3 - 100*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-58)\/14)\/(110\/77) and (-1 - 2 - (-334)\/48) + 1.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 23 - (-21 - -29 - 15)) + (11 - 7)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -110 - -148. Suppose -18 = 2*u - w. Calculate the smallest common multiple of u and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(396)\/sqrt(588))\/sqrt(11))**2 + 1.\nAnswer: 101\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 19 = -2*u, 0*u + 11 = x + 3*u. Suppose 5*l - 63 = -x*w - 18, -18 = -2*w - 4*l. Let i be 0 - -1 - 0 - -1. Solve 2*j = -i*v + 20, -j + w = 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**5\/60 - l**4\/12 + 5*l**3 + 61*l**2 + 4*l. What is j(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126592177627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25b651a + 4?\nAnswer: -25b6516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 16) + (-18 - (-47 + -25))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(95)\/sqrt(5) + sqrt(19))*-1)**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -258, -392, -530, -672?\nAnswer: -818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 23280 divided by -1\nAnswer: -23280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4622*f**3 - 6655*f**3 - 1 - 1505*f**3 + 1.\nAnswer: -12782*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-4)*z)*z\/z**(-2\/3))\/((z*z**3)\/z*z*(z**(-6)\/z)\/z) assuming z is positive.\nAnswer: z**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0.3, -3\/2 in increasing order.\nAnswer: -3\/2, 0.3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a decade?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/t**5)*t**0*t*(t**1\/t)**44)\/((t**(-1\/3))**46)**(-1\/18) assuming t is positive.\nAnswer: t**(112\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p + 8042 = 818. Solve 0 = 58*x + 90 + p for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j - 129. Let g be b(19). Suppose -g*l + 10*l = 2142. List the prime factors of l.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u - 27. Let z(c) = c**2 - 4*c + 14. Let y be 2*2\/(-2) + (20 - 14). Let d be z(y). Let v be n(d). What is the greatest common divisor of v and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 divided by 330.\nAnswer: 29\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v. Let u(t) be the second derivative of t**4\/6 - 5*t**3\/3 - 590*t. What is u(g(o))?\nAnswer: 50*o**2 - 50*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2965657609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -p - 1 - 1, 5*p - x = 6. Suppose 3 + p = 2*a. Suppose 5*z - 29 = -a*i, 0 = i + 3*i - 2*z - 118. Calculate the remainder when i is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htjitth. Give prob of picking 1 i and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-255)*-5)\/(1\/(-4))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -120 + 123.55. Let h = a + -3.6144. Round h to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**0)\/o)**30)**30\/((o\/(o*o**(1\/9))*(o**6*o)\/o)\/(o**(-1))**(-24)) assuming o is positive.\nAnswer: o**(163\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/((-2)\/(-48)). Let m = 30 + w. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 8:27 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18307 is divided by 2002.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/4510 and -69\/11726.\nAnswer: 58630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l - 1. Let d(p) be the first derivative of 8*p + 9\/2*p**2 - 3. Let f(t) = d(t) + 4*w(t). Differentiate f(s) wrt s.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 6*c - 2*t - 448, -t = 2*c - 172. What is the second derivative of 88 - 4*n**2 - c + 2*n wrt n?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.006 times 0.2?\nAnswer: 9.6012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2613 + 4048. What is the greatest common factor of 35 and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560361037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 11*f + 95, 2*w = 7639*f - 7642*f - 46 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198228651.\nAnswer: 3, 23, 83, 34613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 20 = 0, 0 = u - 3*k - 4 + 10. Let v = -15 - u. Solve 0 = -3*i - v*r, 5 = r + 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 20*v**2. Let c(m) = -5*m - 5*m + 10*m - 2*m**2. Give g(c(i)).\nAnswer: 80*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*t + 10. Suppose -2 = -t*m + 8. Calculate the remainder when m is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12989640979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 1. Let c(w) = -78*w**2 + 2*w - 2. Calculate -c(q) + 2*n(q).\nAnswer: 76*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/3)\/4 + (-28)\/84.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (sqrt(500) - sqrt(500)*2*1 - sqrt(500)) - (1 + -1 + sqrt(500)))**2 + 2.\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 74\/5 of a kilogram?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -x - 2*w + 7, 6*x = 3*w - 6. Find f such that -35\/3*f + 0 - 5\/3*f**x + 40\/3*f**2 = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136\/45 - ((-8)\/3)\/(47\/((-24957)\/472))\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 13. Let g = -22 - -18. Which is the biggest value? (a) n (b) g (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 14*i**2 + 21*i - 8. Let q be z(5). Let n = q + -2231\/5. Let j = -0.9 - -1. Sort n, 1\/4, -0.2, j in decreasing order.\nAnswer: n, 1\/4, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102*0.1347\nAnswer: -13.7394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 260 and 38419355?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(864) + 2*sqrt(864) - sqrt(24)*2*-5)\/(1*sqrt(16)\/sqrt(2)*5))**2.\nAnswer: 2352\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3163666088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a tonne in kilograms?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 9 - 3 = 0. Let b(w) = -2*w**3 - 5*w**2 - 3*w - 4. Let t be b(y). Solve -h - 2*v = 2, 2*h + 4*v - t = 6*v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1225360 and -49\/408.\nAnswer: 3676080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 5)*(192*z - 87*z + 128*z)*(3*z - 178 + 178) to the form r*z + c*z**2 + s and give c.\nAnswer: -2796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 670 + -684 + (3 + -3 - (-1 - -8))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 240*j + 218. Let i be q(1). Which is greater: 455 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145, -279, -395, -487, -549, -575?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 - 511056 + 511056.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 8*p**2 - 13*p - 4. Let a be l(14). Suppose -a = -3*x - 4*f, 5*x - 1387 = 2*x - 5*f. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 12, 0.5, 1, 4.\nAnswer: -2\/15, 0.5, 1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13, -35, -69, -121, -197, -303?\n\"Answer: -y**3 - 15*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15561 divided by 117.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 3*p**2 - 69*p + 9. Give z(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(264) + -1*sqrt(264) + sqrt(264) + sqrt(264))\/sqrt(12))\/(2*sqrt(44))*3)**2.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1647 times -3607?\nAnswer: 5940729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/10 and 113\/396060.\nAnswer: 396060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1341.5615 to one dp.\nAnswer: 1341.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23696, -24104, -24788, -25754, -27008, -28556, -30404, -32558?\n\"Answer: -i**3 - 132*i**2 - 5*i - 23558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 194359, 388707, 583055, 777403, 971751, 1166099?\n\"Answer: 194348*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13213 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389*p - 27630 + 16349 = 0 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 1798*j - 866259. Determine z(-395).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*j**2 + 221*j**2 - 165*j**2 - 170*j**2.\nAnswer: -210*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 15*n**2 + 124*n - 14. Calculate y(-21).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0902 - -57.3902. Let u = 53 - t. What is u rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*v + 1238, v = 42*k - 38*k + 235. List the prime factors of v.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 6) + (-2 + -3 - (30 + -26)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/7)\/o)**(-23)*o**(-3)*o**(6\/5)*o*o assuming o is positive.\nAnswer: o**(1042\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8138.257 millilitres in litres?\nAnswer: 8.138257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5379 is divided by 281?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/238*((-364)\/(-21))\/13.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhh. What is prob of picking 3 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at least as big as -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -223, -0.685, 0.\nAnswer: -223, -0.685, -1\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 82 = -16. Suppose -5*i - j + 424 = -3*j, -5*j = i - 101. Let a = 99 - i. What is the remainder when z is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 6*b**2 + b - 4. Suppose -3*s = 3*u + 24, -5*u = -0 + 10. Determine m(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.491031 and 4.\nAnswer: -1.964124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 931*a - 929*a - 1, 5*s - 2*a = 19 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/9, 3, -0.1357, 8?\nAnswer: -0.1357","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4237983856 from -1104.\nAnswer: 4237982752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 19234*q - 76937. Give f(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -9 + 4 + -2 + 62 + -58?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 7 = -306*n + 298*n, -n - f = 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 814, -0.2 in ascending order.\nAnswer: -0.2, 0, 814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 11749.468 to the nearest ten.\nAnswer: 11750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**4 - s**3 - s**2 + s - 10. Let h(n) = -3*n**4 - 38*n**3 - 28*n**2 + 198*n - 105. Let k(i) = h(i) + 2*m(i). Find v, given that k(v) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1, -5, 0.2, 12\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 630510321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2224922, -2225001, -2225136, -2225327, -2225574, -2225877?\nAnswer: -2226236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13233217 and 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 11 + 16)*(-5 + 30*w + 2 - 29*w).\nAnswer: 8*w - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -408 + 115. Let h = o - -298. Solve -h*q + 8 + 3 = 2*x, 3*q = 5*x + 19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c4 - 0?\nAnswer: -c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 12 = -2*j - 4*g, -9 = 3*j + 4*g. Calculate the smallest common multiple of 3 and j - -4 - (-2 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x = 0. Let z be 1 - (2 + -1 + x). Suppose -a + 4 = -z*a. Calculate the remainder when 14 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 - 1 + 1 + (-4 + 1 + 0)*(-5*o**3 + 4*o**3 + 5*o**3))*(-4*o - 4*o + 2*o).\nAnswer: 90*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(7 - 3)*(-2)\/1. Differentiate -3*t**3 + 2*t**3 - 28 + 6*t**r - 35 + 8 wrt t.\nAnswer: 24*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*l**2 + 461*l*t - 22*t - 2491 wrt l.\nAnswer: -50*l + 461*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 122938, 123352, 124472, 126652, 130246, 135608, 143092, 153052?\n\"Answer: 59*k**3 - k**2 + 4*k + 122876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 2 = 4*z, -4346 = -2*q - 4342 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -310031303 (base 4) to base 9\nAnswer: -355338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -31887*s - 84224?\nAnswer: -31887","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 1\/7, -237, -1 in increasing order.\nAnswer: -237, -1, 0.02, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 30 - 36 = 0. Let p = g - -6. Suppose 2*i - 3*i = -4*c - 20, p*i - 2*c - 60 = 0. Solve 0 = -5*x - 0 + i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -685*r**2 - 309*r - 734879 wrt r?\nAnswer: -1370*r - 309","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 344\/(-258)*(-7 + 1). Solve 4*k - 19 = 3*h, -8*h + 9*h - 3*k = -z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79463769 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -42. Let c be (-8)\/28 - l\/(-7). Put 5, 1, c in descending order.\nAnswer: 5, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -w - 8. Is w\/(-3)*(-22)\/(-4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 + 0.8. Let b = 0 + h. Sort -2\/5, -0.3, b in decreasing order.\nAnswer: b, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10}. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*n + 4*n + 126 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -2\/5, 1\/9, 0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z + 5. Suppose 3*l - 8*l = -20. Let t(i) = -4*i - 4 + 0*i + l*i + 3*i. Determine -6*p(d) - 7*t(d).\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 - 17*s**3 + 16*s**3 - 1 - 6*s**2 - s**5 + (4*s**4 + 6*s**4 - 7*s**4)*(-1 + 1 + 2*s).\nAnswer: 5*s**5 - 2*s**3 - 6*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 254*f**2 + 44*f - 3. Let a(n) = 169*n**2 + 27*n - 2. What is 8*a(d) - 5*c(d)?\nAnswer: 82*d**2 - 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7193*x + 43135. Calculate q(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 103*w + 113. Let s(d) = 2*d**2 + 51*d + 34. Let y be s(-25). Let c(n) = -26*n - 28. Let u(k) = y*c(k) + 2*g(k). Differentiate u(m) with respect to m.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.4819088us in hours?\nAnswer: 0.000000002078308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + a62608b?\nAnswer: a626088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 4 - (0 - 936\/65).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 365985 (c) 15 (d) -0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 67*l - 20*l - 30*l - 4 - 20*l. Calculate r(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459896.\nAnswer: 2, 57487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/9 + 372662*p\/3 + 372660.\nAnswer: 2*(p + 3)*(p + 558990)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 272194191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -6*o. Suppose 5*r + o*f = -2*f + 593, -113 = -r + f. Let n = -266 + r. What is n rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 9. What is m(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 33. What is the third biggest value in 0, 1, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5392938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus 169548.744?\nAnswer: -169556.744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*c + 11*c**4 + 8*c**4 - 13*c**4 + 2*c**3 as s*c**2 + w + q*c + b*c**4 + l*c**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -949.2 take away 3?\nAnswer: -952.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45579 is divided by 6510?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, 1\/6, -226 in decreasing order.\nAnswer: 1\/6, -72, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8180841 weeks to minutes.\nAnswer: 8246.287728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 19*l - 71. Let y be u(9). Let i = 239 + y. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 7:21 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -0.07, -10\/7, -5\/8 in decreasing order.\nAnswer: 0, -0.07, -5\/8, -1, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 16496957777340?\nAnswer: -16496957777340.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 17*l + 71. Let t be u(-4). Let m = -6 + 10. Solve -m*k - 4 = -t*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 14*x**3 - 2*x**2 - 2*x + 29. Let f(t) = -9*t**3 + t**2 + t - 19. Give 8*f(z) + 5*r(z).\nAnswer: -2*z**3 - 2*z**2 - 2*z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2400 - 125.17367.\nAnswer: 2274.82633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24852 - -3?\nAnswer: -24848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-31 - (25 - 42) - -7) + 1 + 28\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -1810045?\nAnswer: 1810049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 7*g**2 + 2*g + 17. Let t be p(-6). Let l = t - -36. Suppose 5*n - 5*z - 205 = 0, 2*n - 3*z - 62 = -l*z. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.023524 and 0.08.\nAnswer: 0.056476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 422*g - 14. Let i be r(7). Suppose 8*a = 3*a - i. Is 11 a factor of (-4)\/(-18) + a\/(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-10 - 13) + (5 - 5) + -10.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 25.1. Let q = 59.5722 - 60.68. Let k = o - q. Round k to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-480)\/100*270\/(-162).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 + 84. Let g = 30 - 26. Suppose 3864 = 3*m + 3*d, -l*m + g*d + 693 = -5702. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 7. Let u = 1 - b. What is the closest to -0.1 in -0.2, -0.4, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = a + 2*p - 1, -2*a + 4*p = 28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*p - 335 = 5*p, -5*u + 2*p = -423. Suppose -2*q = 3*q - u. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5862 (b) 1\/3 (c) -4\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*l - 17, -1297*l = -1294*l - f - 18. Sort -7, 2\/5, 0.1, l in decreasing order.\nAnswer: l, 2\/5, 0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12321 is divided by 647.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - -23 - (1 + 10 + 1 + -2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*d*v**3*w - 3*d*v**3 - 25*d*v*w - 21*v**3 + 5*v**2 - v + w wrt w.\nAnswer: -6*d*v**3 - 25*d*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 3792\/433 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhqhzhzgchrr. Give prob of sequence hz.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {r: 1, p: 4, f: 1, d: 3, z: 4, u: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 645 * 250.6\nAnswer: 161637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 8:45 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/40 and 59\/30675876.\nAnswer: 306758760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7174 and 918.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.18 + 8.9. Let g = r - -0.38. What is the closest to -1 in g, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 18665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13913628, 13913651, 13913676, 13913703, 13913732, 13913763?\nAnswer: 13913796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 371 - 377. Let w(l) be the first derivative of -2*l**2 - 8*l - 3. Calculate w(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**4 - 155*k**3 - 1640*k**2 - 6660*k - 7920 = 0. What is k?\nAnswer: -12, -11, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4290714497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (3 - 1) + -4. Solve 2 = -2*b - f*n, -n + 5 = 4*b - 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*b = 62*b - 5271476 + 5257489 for b.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 181.\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*(-308)\/(-3465).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyymyyyyyyymy. What is prob of sequence myy?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 + -55. What is the highest common divisor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*((-6)\/(-4) + -2)*-1. Put 1\/2, v, 0.2, 5 in decreasing order.\nAnswer: 5, v, 1\/2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**6*i**5\/i*i*(i\/(i**(-1)\/i))\/(i**(-3\/8)*i*i) assuming i is positive.\nAnswer: i**(99\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2842425 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 0)*2\/(-2). Suppose 4 = l + r. Suppose 3*d = -l*d. Which is greater: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 9:31 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 15 + 80 + 11)*(7 - 5 - 3).\nAnswer: 2*d - 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -185?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 26, -22, -10 in descending order.\nAnswer: 26, 4, -10, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -5*c**2 - 40*c - 87. List the prime factors of b(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 8 + 4*d**3 + 16*d**2 + 3 + 26*d + 2*d**3. Let n(c) = c**3 + 3*c**2 + 5*c + 2. What is -11*n(j) + 2*q(j)?\nAnswer: j**3 - j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by 24\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41409 rounded to 2 decimal places?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74 - -71. Sort -5, 4, o in descending order.\nAnswer: 4, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1311 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*b = -3*d + 106, 3*b - 23 = -d. Suppose 22*m + 1309 = d*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 10*c**3 - 1 + 39645*c**2 - 39641*c**2 - 3. Let z(r) = 81*r**3 + 33*r**2 - 33. Calculate 33*x(s) - 4*z(s).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) 5 (c) 4822 (d) -4 (e) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 2 (b) -1660 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 19 = 12*c. Let j(n) = 32*n**2 - 15*n - 54. Is j(c) a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2065.9 - -2305.19. Round t to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*505.\nAnswer: -4040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1341 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 8 = 4*g. Let l(v) = -5*v**3 - 9*v**2 - v + 10. Let m(o) = -11*o**3 - 19*o**2 - 2*o + 21. Let w(r) = -13*l(r) + 6*m(r). What is w(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544169 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -185 + 341. Let k be (-3 + 1)\/(4\/(-8)). Suppose t = v + 91, k*t + v - r = 188. List the prime factors of t.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 t when two letters picked without replacement from jyvjjjdjtdvjtyjr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s = -9. Let x be (-6)\/18 - (-58)\/s. Suppose 1 - x = -3*h. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - o + 20 = 16, -2*y - 4 = 2*o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -50*f**3 + 3*f**2 + 2*f - 6. Let p(k) = -k**2 + 2. What is d(w) + 3*p(w)?\nAnswer: -50*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 487602714 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: Let k = -35 + 40. Suppose -2*w + 4*r = 0, k*w = 5*r - 4 - 1. Let y be (0 - (w - -4)) + 2. Which is bigger: y or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 33.22 rounded to 0 dps?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 + 20*n - 4. Calculate f(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5160, -5136, -5100, -5052?\n\"Answer: 6*j**2 + 6*j - 5172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-8)*y)\/((y\/(y*y**5))\/y*y))\/(y*(y*y**(-1\/2)*y)\/y*y*(y\/y**(-1\/2))\/y))\/(((y\/(y\/y**(-7)))\/y)\/(y*y**(-8))*y**4\/(y*y\/y**8)) assuming y is positive.\nAnswer: y**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22378 - -51858. Is 40 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 15*k**2 + 6*k - 22. Let x be m(10). Which is smaller: x or -464?\nAnswer: -464","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 8:48 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-10 + 9 - -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -747, 509, 2625, 5595, 9413, 14073?\nAnswer: 19569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99 - -889\/9. Which is the nearest to 3\/7? (a) i (b) 0.3 (c) -3 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/71520 and 77\/26820.\nAnswer: 214560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*r + 4*r + 703. Let l(o) = -39*o + 49*o - 9*o + r + 8. Calculate l(-13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2109*m**3 - 407*m**2 + 407*m - 407. Let u(n) = -31*n**3 - 6*n**2 + 6*n - 6. What is 6*q(t) - 407*u(t)?\nAnswer: -37*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 1612 + 3133 = 0. Let h = -3\/23851255 + -3598915866473\/3792349545. Let s = x + h. Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 24 = -6*j. Let c be 4\/(-1)*4\/j. Find the third derivative of -3*z**3 - 2*z**3 + 9*z**3 + c*z**2 wrt z.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(684) - (sqrt(684) - -2*sqrt(684) - sqrt(684))))**2 + -1 - (2*(sqrt(684) + 0 + sqrt(684)) - ((-1*sqrt(684))**2 - sqrt(684))*-2))*-4.\nAnswer: -48*sqrt(19) + 2724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 + 4 - 7*i**2 - i**3 + 10*i**2 in the form s*i**2 + j*i + n + k*i**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**4 + 11*o**2 + 4*o**4 + 3*o**2 - 5*o**2 wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37*5068\/12432 - (15 + 0).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.9807 and -1.\nAnswer: -0.0193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 0*t - 3*t)*(2 + 1 - 6) + (2*t + 2 - 2)*(0 + 1 + 0).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 1. Let y(v) = 2*v**2 - 2*v + 1. Let u(g) = -10*g**2 + 11*g - 6. Let j(c) = 2*u(c) + 11*y(c). What is 2*a(l) - j(l)?\nAnswer: -2*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 53?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6\/419, -1\/2, 2\/39, -5 in decreasing order.\nAnswer: 2\/39, -6\/419, -1\/2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 2*h**2. Let z be 21\/12 - 2\/(-8). Let g be b(z). Let r = -70 - -71. What is the second biggest value in g, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 267 and 48.\nAnswer: 4272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 + 41 = -15*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.405 - -0.105. Let l = 0.26 + -0.1. Let g = s - l. What is g rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 f, and 1 b when three letters picked without replacement from ecbtbtkbfckktct?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -12*g**2 + 1 - 16\/3*g**3 + 0*g. What is the second derivative of u(p) wrt p?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n + 50. Give o(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2028 = -215*k - 241*k + 404*k for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110110100 - 10000101?\nAnswer: 1100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-5 + -26 - -25)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - ((-7 - -10) + 0 + -21)) + -7.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2240 + -1107062?\nAnswer: -1104622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31213*g**2 - 76034*g wrt g?\nAnswer: -62426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1298 and 1652?\nAnswer: 18172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3223.\nAnswer: 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3 + 137*v**2 - 535*v + 399 = 0.\nAnswer: 1, 3, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -86, -126, -170, -218, -270?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -3*a**3\/2 - 2*a**2 + a. Let o(m) = -4*m - 2. Let r be (-4 - (-1 - 4))*-64. Let d = r - -66. What is d*w(u) - 5*o(u)?\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 1400*n - 4216. Determine o(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38605 by -4.\nAnswer: 38605\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -379.048 != -2\/349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*h**3 + 658*h**2 - 659*h**2 + h**3 + 10 - 5*h**3 + h in the form q*h**3 + f + d*h + l*h**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 7:25 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/sqrt(5)*2 + (sqrt(833) + 5)**2 + 2.\nAnswer: 72*sqrt(17) + 860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, q: 2, m: 4, g: 2, h: 2, a: 2}. What is prob of sequence jj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.29992 + -20.07406\nAnswer: -20.37398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/186)\/((-45)\/(-27)))\/(2\/(-8)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u = -3*u + 10*u - 120 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-3\/10)))**(-14)*(l*l**(-10\/9)\/l)\/l**(-4) assuming l is positive.\nAnswer: l**(-59\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302\/7451 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 551 - 551 + 66479*j**3 - 205249*j**3.\nAnswer: -138770*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1541*t + 8398 = -1294*t for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 3632. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 take away 119.745?\nAnswer: -119.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/10710*17)\/(((-24)\/(-108))\/(2\/8)).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 93 = 6*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 7*i**2 - 6*i + 8. Let o be (-9)\/(((-27)\/(-6))\/(-3)). What is the lowest common multiple of j(o) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 14. Suppose 0 = -0*d - 5*d + 90. What is the remainder when d is divided by -3*(c - 28\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 1\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 473356 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1628 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -232133 (base 4) in base 7?\nAnswer: -11450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 3:54 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101101010001000100 (base 2) in base 5?\nAnswer: 303441423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 223 - 3510?\nAnswer: -3265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 126?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdeehhy. What is prob of picking 1 y and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -48\/7*h**2 + 15\/7*h**5 - 12*h**4 + 144\/7*h**3 - 48\/7*h + 0 = 0.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-6))\/((-12)\/306). Let b = -32 - a. Let l = b - -145. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609 = 9*p - 4*p + k + 498, 0 = 3*p + 2*k - 61 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77630203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5*s + 260, 3*s - 68 - 70 = -3*k. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 862345*c**2*g**3*u**2 - 7*c**2*g*u**2 - 2*c**2 + 2*c*g**3 - 3*c*g**2 + g*u - 107703 wrt u?\nAnswer: 1724690*c**2*g**3 - 14*c**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-236)\/(-308) - 1) + (-1)\/(-11).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, a: 4, t: 2, q: 4, c: 1}. What is prob of picking 2 t and 1 q?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -11. Suppose 0 = v - 34 + g. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + (5 - (12 + -8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*s - 3*s. Suppose -s*h + 9800000 = -h. What is h rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7983007 rounded to the nearest 1000?\nAnswer: 7983000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 4 - 32 = 0. Solve -3*r + 3 = -3*m - 0, b*r = -2*m + 28 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2. Let o(d) be the first derivative of -d**3 - 2 + 2*d**3 - 4*d**3 + 2*d**3. What is f(o(i))?\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 90. Suppose -3*q - 3 = -4*q. Suppose -4*n - 5*z + 36 = 0, 2*n - 3*n = -q*z - 9. What is the highest common divisor of n and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, -5, 3, 14 in ascending order.\nAnswer: -5, 3, 14, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -17. Let h be 36\/(u*(30\/16)\/5). Calculate the highest common divisor of 32 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18188 is divided by 3581.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsvmvqvmqvvvvvvv. What is prob of picking 1 q and 1 m?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.1 - -0.1. Let z(d) = 2*d**3 - 11*d**2 + 5*d + 1. Let y be z(5). What is the smallest value in y, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 199600803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.01 and 0.11535280704?\nAnswer: 0.10535280704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 39. Let b(k) be the first derivative of -2\/7*k - 128\/35*k**5 - 2 - 8*k**j - 40\/7*k**3 - 13\/7*k**2. Determine s, given that b(s) = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 2:41 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203 (base 7) in base 14?\nAnswer: 23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203961 + 201360 = -51*c for c.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 3\/4, 0.12, 1?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1.64. Let s = -2.36 + f. Let n = 0 + -0.5. What is the nearest to 2\/3 in n, 3, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 2:53 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + y + 2. Let i(w) be the second derivative of -w**4\/4 - w**3\/2 - 3*w**2 + 2*w + 99. Give -17*c(d) - 6*i(d).\nAnswer: d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m\/(m*((m\/m**(3\/4)*m)\/m*m)\/m))\/m))\/m)\/m**(2\/11)*m**12*m**(-3\/8) assuming m is positive.\nAnswer: m**(1029\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**5\/20 + c**4\/4 - 13*c. Factor z(a).\nAnswer: a**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 8*l**2 - 6*l + 6. Let n be s(9). Let f(o) = 3*o**2 - 3*o - 16. Let i be f(-4). Differentiate -t - n + 7*t + i wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -163*z**2 + 19*z + 4*z - 8*z + 6*z + 24*z wrt z?\nAnswer: -326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-4 - 0) - -4. What is the third biggest value in -2\/9, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/7791069 and 163\/1248?\nAnswer: 249314208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmmmmmmimmmmmm. Give prob of picking 1 m and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/5 equal to 2\/253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5304*f**2*r**2 - 31*f*r**2 - 62*f*r wrt f?\nAnswer: 10608*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 7:47 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*l = 50*l - 222*l + 12240 for l.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2193220 rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 0*l**3 - 2*l - 23\/15*l**6 + 0*l**2 + 0*l**5 + 0 + 7\/12*l**4. What is the third derivative of c(a) wrt a?\nAnswer: -1104*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/6)\/(9\/((-891)\/363))*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.969 + 10. Let f = 0.061 + g. Let j = f - 0.002. Put j, 0.5, -2 in descending order.\nAnswer: 0.5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 24*d**2 - 25*d + 42. Calculate the remainder when n(5) is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 990 - 1982 = 23*u - 992. Solve -4*r + 26 = -2*v, -3*r + u*r + 27 = -4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121 - 262.6. Let f = -142 - r. Which is the third biggest value? (a) -2 (b) 1 (c) f (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 10 = 2*o, -6*o + o - 5 = 5*f. Find i such that i**2 + 3*i**2 + 10*i + i**3 - 2*i - 13*i**o = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 30 = 5*s + 123, -145 = -5*u + 5*s. What is the highest common divisor of 13 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1393*g - 630*g + 287*g.\nAnswer: -1736*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.35148 years to millennia.\nAnswer: 0.09635148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70 - -75. Solve 2*g - w*h + 17 = -0, -g + 11 = 4*h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3708818816.\nAnswer: 2, 23, 29, 43441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1859 - -2028. Which is smaller: 175 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 414299 = 529*c - 506*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*c, 3*c + 2 = 3*t - 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 6*b - 30. Let z be (-112)\/(-11) - (-4)\/(-22). Suppose -b*y + y = -z. Solve -h + 6 = y*c, 0*h - h + 16 = 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -26. What is the lowest common multiple of 18 and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 8*l - 4. Let t be v(5). Suppose -j + 0*j = -t. What is the least common multiple of j and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*s**3*u + 382174*s**2*u + 2*s**2 + 39*s*u - 250*s + 32*u + 1 wrt s.\nAnswer: 24*s*u + 764348*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 214 + -214.00000127. What is b rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -16 (c) -0.1 (d) -1.2443 (e) 4 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6921\/5 less than 1385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from ttzzzztz.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - 5\/(-10)*-4. Let v(w) = -4*w**2 + 3*w**3 - 7*w**z - 1 + 8 - 4*w**3. Let l(p) = 3*p**3 - 9 - 2*p**2 + 3 + 5*p**2 + 4*p**3. What is 6*l(i) + 5*v(i)?\nAnswer: 2*i**3 - 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -5\/4, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*l - 553, -l + 3*l - 332 = 3*a. Let z = a - -224. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -262, 4.\nAnswer: -262, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**3 - 19*h**2 + 7*h - 4. Let d(c) = -c**3 + 9*c**2 - 4*c + 2. Let f(y) = 5*d(y) + 2*g(y). Does 18 divide f(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 40, 72, 102, 124, 132?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7.228301 millennia?\nAnswer: 722.8301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -2. Let b(s) = 25 - 60 + 16 + 35*s + 15. What is the tens digit of b(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(1*-5 + -1). Let k(x) be the first derivative of x**4\/4 - 2*x**3 + 2*x - 1. List the prime factors of k(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71051, -71053, -71055, -71057, -71059, -71061?\nAnswer: -71063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1473, -1885, -2297?\nAnswer: -2709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 169.3072ml in litres?\nAnswer: 0.1693072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-3))\/((-4)\/(-3)))\/(489\/1304)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -11313254 equal to -11313254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 5*a = 24, 5*o = -2*a - 45 - 6 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 2, -4, 1, 13, 5 in decreasing order.\nAnswer: 39, 13, 5, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v**3 - 1. Let r(l) be the second derivative of -l**5\/20 - 6406*l. Calculate -p(y) - 5*r(y).\nAnswer: -2*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/4)\/2 - -88. Suppose -66 = -g + m, -5*m - v = -3*g + 111. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30.2*4.\nAnswer: -120.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-39)\/(-26) + 5\/2. Solve 0*f = j*f - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30810027.\nAnswer: 3, 10270009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102130 (base 4) to base 6.\nAnswer: 5244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r = -8728. Let p = -478 + 480. Suppose -2*s + 3202 = -p*g, -g - r = 3*s - 6981. Round s to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*-3868\nAnswer: -309.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3621066944 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1 = 4*n - 3, -9 = -2*o + n. Suppose -k + o*c + 28 = 0, -2*k - k - 3*c + 24 = 0. Calculate the least common multiple of k and 21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/216 and 119\/180?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 13*q**2 + 17*q - 15. Give k(14).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2*a**2 + a)*(-6*a + 10*a - 16*a)*(a - 5*a + 5*a).\nAnswer: -24*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4\/1706867 + -23535989159\/40964808. Let v = 571 + b. What is the common denominator of v and (9\/81)\/((-2)\/393)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 10:25 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -448901 at most -448602?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -22652326 (base 8) to base 16\nAnswer: -4b54d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 5)*(0*c + 3*c - c) - 8 + 8 - 21*c.\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*2 + 2)**2.\nAnswer: 40*sqrt(11) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**8\/15680 + l**7\/2520 - l**6\/1008 + l**5\/840 + l**4\/3 + 3*l. Let t(w) be the third derivative of x(w). Solve t(g) = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 4*c + 8, 10*c - 8*c = -3*l - 12. Let y(m) = -m**3 - 2*m**2 + 5*m - 1. Calculate y(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3731850 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2 - (-58)\/(-4). Suppose 2*d + d = -33. Let b = d - j. Solve b = -4*h - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*l = -1311, 0*l = -4*x + 2*l + 5254. Let h = x + 61. List the prime factors of h.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25835020, -25835015, -25835006, -25834993, -25834976, -25834955?\nAnswer: -25834930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a33 + -5?\nAnswer: a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*s + 6, 3*s + 10 + 0 = -5*b. Let u(v) = s - 3 + 2 - 6*v. What is the units digit of u(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182950274.\nAnswer: 2, 13, 37, 14629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 267791 divided by -1.\nAnswer: -267791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -5249610.\nAnswer: -2\/2624805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 84*m**2 - 203*m - 349. What is the units digit of s(-86)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -65\/4 in -18, 3\/2, -0.5, -3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + -1. Let j(i) = -i**2 - 4*i + 7. Determine j(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275049851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-3\/8))**(2\/33) assuming j is positive.\nAnswer: j**(5\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 28 + 323. Does 39 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 959350531 to the nearest integer?\nAnswer: 30973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 11:59 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 237865448*x + 237865452.\nAnswer: -4*(x - 59466363)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1840021542 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.8 (b) 2 (c) 0.1 (d) -0.2082\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/16 + (-2418957)\/(-36)?\nAnswer: 2, 3, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2, 5*m - 1 + 23 = -2*d. Let h be 5*(2 + d\/10). Let k(j) = 5*j**3 + j**2 - j. Let i be k(1). Solve h*c + 1 + i = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a - -337?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 137 - 101. What is the greatest common factor of 27 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 1. Suppose -i + 6*i = 2*h - 18, 0 = -5*i - 4*h + t. Let z be ((-1)\/i - 1)*-6. Solve 2*q = z*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -930 = -592*x + 406*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a**3 - 13*a**2 + 5*a. Let n(v) = -3*v**3 - 6*v**2 + 3*v. Let q(x) = -5*n(x) + 3*u(x). What is the third derivative of q(g) wrt g?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/4, -2\/13, -37\/7, 2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-10) - 114\/(-95). Which is greater: t or -1\/39?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 2. Let v be 3\/9 - 26\/42. Let s = -133 - -128. What is the second smallest value in v, s, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322528968 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, v: 1, p: 1}. Give prob of picking 1 v and 1 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -47 + (-64 - -25) + 48?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**3 + 1 - 54*c**3 + 133*c**3 + 3636*c - 3636*c + 118*c**3.\nAnswer: 203*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -298454314 divided by 51797\nAnswer: -5762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 1082784.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000912884 rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*d + 8975, 0 = 2*h - 0*d - 6*d - 3582. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**3 + 260*m**2 + 1028*m + 1024 = 0.\nAnswer: -256, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2 (b) -0.238 (c) 15 (d) 11 (e) 0.04 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5\/4)\/((j**(2\/3)*j)\/j))\/(j**(2\/5)*j*j**(1\/2)) assuming j is positive.\nAnswer: j**(-229\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6082 and 344.5.\nAnswer: -5737.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*z + 47*z = 91*z + 4134. Which is greater: -194\/5 or z?\nAnswer: -194\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -1.09 (c) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.4495 + -0.4495. Which is greater: p or 5.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/9*108\/300.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1251150747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 - -1.912. Let t = 0.028 + b. Is -1.3 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 923 + 650 = 0 for g.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*r + 4. Suppose 3*o = 5*o - r, 4*s - 14 = -3*o. Suppose 1 + 4*k - 5 + k**2 + k**s - 2*k = 0. Calculate k.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2. Suppose 3*y + 8 = 2. Let m = y + 8. Let c(q) = 6 + q - m. Determine j(c(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v. Let a(i) be the third derivative of -11*i**4\/12 - 31*i**2. What is a(j(o))?\nAnswer: -22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 131648*z**2 + 1089*z. Let r(n) = 242*n**2 + 2*n. Let u(h) = 2*m(h) - 1089*r(h). Let v(y) = -2*y**2. What is u(v(p))?\nAnswer: -968*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3*sqrt(209) + sqrt(209))\/sqrt(11)*3)**2.\nAnswer: 48*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v = 56 + 64. What is the nearest to -1 in 4, v, -10?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 21*h**2 - 5*h + 5. Let x be 15*(-10)\/(-6) + (3 - -3). Let t(k) = -x*k**2 - 93 + 267 - 90 - 91 + 7*k. Give -7*o(g) - 5*t(g).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -208.0782 and 7.\nAnswer: -1456.5474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 37 + 171 + 14 + 2*p**2 + 2 in the form g*p**2 + o + d*p and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 - -104. Does k = 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/4 and 51\/250.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 6*d**2 - 2*d - 1. Let j be q(-3). Suppose 0 = 5*r + 42 + 63. Let o = r + j. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77\/3 + -24. Let m(g) = -g**3 - 4*g**2 + 1. Let x be m(-4). Is h at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.1, 4\/7, 152, 4\/5 in descending order.\nAnswer: 152, 4\/5, 4\/7, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3909906, 3909901, 3909892, 3909879?\nAnswer: 3909862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -414 (base 7) to base 3\nAnswer: -21200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480645 = 967*p - 934*p. What are the prime factors of p?\nAnswer: 3, 5, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-5 + 5 + 4)) + 10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-2)\/8 - 1148\/112)*-256*18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(60\/4)*(-24)\/(-1). What is the biggest value in -4, z, -27?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 2*m**2 - 2*m**2 - 3*m**2. Let a(f) be the third derivative of -f**4\/12 - 3*f**2. Calculate a(b(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26983695 to the power of 1\/3, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 288283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.3, -58, -0.07, -8 in ascending order.\nAnswer: -58, -8, -0.07, 0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.454351819033 less than -8?\nAnswer: -12.454351819033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0 + 3 = 0. Let p be 22\/6 + q\/(-3). Suppose 5*c - 52 + 8 = -p*u, -4*u = -5*c + 76. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*s**2 + 25*s**2 - 24*s**2)*(2*s - 2*s - 2*s) + (2*s + 0*s - 4*s)*(0*s**2 + 0*s**2 + s**2).\nAnswer: -58*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = -5*q - 25*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**3*w*z - 2*n**3*w + n**3*z - 258*n**3 - 2*n**2*z - 4*n*w*z - n*z - 40*n wrt n?\nAnswer: 12*w*z - 12*w + 6*z - 1548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 12:31 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**4 - 50*x**3 - 160*x**2 - 160*x = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1050 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 6 + 16 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49901.\nAnswer: 139, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -2, 6, -3, -0.3 in decreasing order.\nAnswer: 6, -0.3, -2, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**0)**4*(m**0)**(-46))\/(((m\/m**(-1))\/m*m)**(-1\/23))**(-1\/23) assuming m is positive.\nAnswer: m**(2114\/529)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, l: 5, r: 2, f: 2, b: 2, n: 5}. What is prob of sequence beln?\nAnswer: 5\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-186*k - 1 + 0 + 256*k).\nAnswer: 140*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 2946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3149743 times -1.31\nAnswer: 4126163.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -62, -223, -498, -893, -1414, -2067, -2858, -3793?\n\"Answer: -a**3 - 51*a**2 - a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/(f\/(f\/(f\/f**(2\/13)))*f)))\/f**8)\/(f**(-2\/5))**(-11\/6) assuming f is positive.\nAnswer: f**(-1148\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**5 + 0*w**5 + 4*w**5 + (0*w**2 - 3*w**2 + 2*w**2)*(-w**3 - 3*w + 3*w) + (0*w**2 + 4*w**2 - 2*w**2)*(-3*w**3 + w**3 + 0*w**3).\nAnswer: -w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -577612+-3\nAnswer: -577615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227338 is divided by 270.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1087*y - 1091*y = -p - 5, 3*y = -5*p - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 5*r + 0*r)*(49*r + 17*r - 13*r) - 3*r - r**2 + r + 0*r.\nAnswer: -107*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 92932.6 millimeters in nanometers?\nAnswer: 92932600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + -10. Let l(y) = 3*y**2 + 20*y + 17. Let m be l(p). What is the highest common divisor of m and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -6 - 4) + (3 - 15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011857825 to six decimal places.\nAnswer: -0.001186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/181736 and 93\/44.\nAnswer: 1999096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16947 + 16944. Which is the smallest value? (a) 0.1 (b) -513 (c) 0.4 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -2*g + g + 5, 0 = -4*m + g + 10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**2 + 4*q**2 + q**2. Let k(s) = -s**3 + 24*s**2 - s + 37. Let i be k(24). Let n(j) = 10*j**2 + i*j**2 - 27*j**2. Determine u(n(w)).\nAnswer: 32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6876656948 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 53*i + 5300. Let s be n(-100). Let a(f) = 9*f**2 - 3*f + 18. What is a(s)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 12*u - 115. Let z be p(20). Let v(f) = f**3 - 8*f**2 + 11*f - 16. Let c be v(8). Calculate the highest common divisor of c and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 64412 = 108388. What is x rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (8 + (-4 - 7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rccuerebrrrcrcuuce. What is prob of sequence rbuu?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*j**3 - 9 + 9 - 405*j**3.\nAnswer: -376*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6253947 to three decimal places.\nAnswer: -0.625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35700 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -31*c + 2062. Determine k(70).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4233770 - 1411212 - 1411351 + 2*f - 1411207.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5879 - -13662. List the prime factors of s.\nAnswer: 43, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1732.5158 rounded to zero dps?\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2.2. What is the nearest to n in 1, -2\/7, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b. Let l(d) = d**2 - 1844. What is o(l(m))?\nAnswer: 4*m**2 - 7376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 43*p + 12 = -41*p, 2*n + 14 = 3*p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - ((-4)\/2 - -158). Let n = j + 108. Calculate the common denominator of 73\/8 and (-1124)\/n - (-2)\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 1. Let d(h) be the first derivative of 0*h + 1 + 1\/2*h**z - 2\/3*h**3 + 2\/5*h**5 - h**2. Determine u, given that d(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > 59941024\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-42*22\/(-77). Solve -2*b + 1 = h - q, 0 = 3*b - 3*h + 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) - 3*sqrt(272) - sqrt(272))*-1)**2*2.\nAnswer: 4896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 i, 1 j, and 1 h when four letters picked without replacement from {c: 1, j: 1, a: 1, h: 2, d: 1, i: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12 and 5024.57.\nAnswer: 5012.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, y: 1, u: 2, r: 1}. Give prob of picking 2 u and 1 y.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1789, -1876, -1965, -2056?\nAnswer: -2149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -2*z**2 + 2664. Let y(r) = 3*r**2 + r - 76. Give y(m(k)).\nAnswer: 48*k**2 - 4*k - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + -11 + 39 - (-4 + -1). Suppose -f*v + 18893 = 4868. What is the remainder when v is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 23*c - 18*c. What is the tens digit of 4910\/c - 56\/(-252)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 725 or 90018\/11?\nAnswer: 725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1205\/22488 - 849111139\/89952. Let m = j + 9442. Let n = 51617\/10 - 5171. Find the common denominator of n and m.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 + 4*z**2 + 440*z - 2546. Calculate g(7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-15) + (-77)\/33 + 16. Put 3\/8, 1\/3, r, 5, -4 in increasing order.\nAnswer: -4, 1\/3, 3\/8, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*q + 43*q - 3*q**3 - 9*q**2 - 6*q**2.\nAnswer: -3*q**3 - 15*q**2 + 340*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 501400 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 1 - -3 - 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 26.7. What is the nearest to -0.1 in 2, z, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t - 1. Suppose 0 = -3*w + 14*a - 12*a + 207, -w - 2*a + 53 = 0. What is the remainder when w is divided by u(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*6\/((-12)\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 - 12*h - 12. What is l(9)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t + 4. Let a be d(-15). Let p = -33 + a. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -15*b - 310. Let w be z(-21). Solve -w*m - 5*r - 26 = -66, 15 = 5*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2896 - 2*d**2 - 2896. Let q(n) = 7*n. Give q(j(i)).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 93*r**2 + 0*r**4 + 0*r + 0 - 7\/60*r**5 - 3\/40*r**6 + 79\/3*r**3. Differentiate p(t) with respect to t.\nAnswer: -27*t**2 - 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 118 + -114. Suppose l + 552 = k*l. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -12. Let a be f\/(-3) - (-6)\/9. Suppose -2*o + 3*q - 6 = q, q + 1 = a*o. Solve -n - 12 = 3*n, -4*n = -o*x + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -41*m**2 + 30904*m - 23334. Calculate z(753).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*n + 49*n + 48 + 121*n + 144*n.\nAnswer: 333*n + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 159*m - 446. Let p be o(154). Solve -363 = -13*c - p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 + -23 - (1 + -1)) + -12 + 1 + -58.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -5 (c) 3 (d) 0.229\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(160\/192))\/(-8*(-4)\/(-464)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l - 20*l. Suppose -5*i + l*i = -i. Suppose f - 77 - 11 = i. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2 = 4*o - 6, -5*o = z - 12. Let n be 0*((-2)\/z - 0). Suppose n = h - 0*h. Solve h = -3*v + f - 5*f - 8, 0 = -2*v - 5*f - 17 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5243 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 284 + -280 - (12 + -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -0.4. Let s = -75 + 68.3. Let t = s - -7. What is the closest to k in t, 2, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138\/49 equal to 758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 192034\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 190*n**4 + 957*n**3 + 16198*n + 47 wrt n.\nAnswer: 2280*n**2 + 5742*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810795 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 80*b - 395. Determine n(84).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 3 - 4) + 36\/12. Solve 4*z + 3*c - 2 + 28 = u, -4 = 2*z - 3*c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3)\/12)\/(2\/(-56)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*b + 6 = 0, 4 + 5 = -3*b. Suppose v - 5 = -6. Is (-112)\/12*v*s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*j**4 - 736*j**2 + 2*j**4 + 735*j**2 + 14*j as f*j**2 + d*j + u + z*j**4 + t*j**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36607 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 1:48 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6}. What is prob of sequence ccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5 + 11 = 0. Put 3, l, -5 in descending order.\nAnswer: l, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from {d: 5, m: 1, g: 6, t: 2, s: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15996 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (9 - (32 - 6)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**1*b))\/b)**21\/(b**(-2))**8*(b**0)**(-1\/78)*b\/(b*b**(-7)*b*b)*b**(-2\/5) assuming b is positive.\nAnswer: b**(-107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3\/428, -4, 61, 0.3, -3.\nAnswer: -4, -3, 3\/428, 0.1, 0.3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 923143907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y**3. Let d be x(-1). Let h be ((-6)\/12)\/(3\/d). Solve -4*k - h = 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f - 13. Suppose 0 = -y + 4*w - 4, 5*y + 13 = -5*w - 32. Calculate the remainder when z(y) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74382 times 2277?\nAnswer: 169367814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 489277 divided by 289.\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47832?\nAnswer: 2, 3, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59442 = -42*a + 16956. What are the prime factors of a?\nAnswer: 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 4:53 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itbt when four letters picked without replacement from {w: 2, i: 3, t: 7, b: 7}?\nAnswer: 49\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2321126 (base 7) in base 13?\nAnswer: -a2566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-16) - (-3542)\/368. Suppose -w - z*h = -7*h - 476, 2*w - 5*h - 941 = 0. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 11. Let d(w) = w**3 + 7*w**2 + 6*w + 2. Let r be d(-6). Suppose r*v - 3*v = -10. Let x be k(v). Sort -3, x, 2 in ascending order.\nAnswer: -3, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 - 6*b - 3. What is r(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 10. Let q = 2423 + -2422.6. Let o = -0.3 - -0.6. Put -3, o, x, q in descending order.\nAnswer: x, q, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2. Let a(i) = -i**2 + 4*i + 1. Let n(p) = -148*p**2 + 8*p. Let s(g) = -2*a(g) + n(g). Determine s(z(d)).\nAnswer: -584*d**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 32 = -3*b, 6*b - 11*b - 3*x = 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 540473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 398, 394, 390, 386, 382?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 0.93, -2\/5, -5, 39?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -7. Suppose 5*c - 2*b - 39 = 0, s*c + b = -2*b + 15. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*i - y, -3*i + i - 3392 + 3172 = -11*y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + (sqrt(847) + (sqrt(847) - sqrt(847)*2) - sqrt(847))**2)*-2 + ((sqrt(847) - (1 + sqrt(847))) + 4 - (2*sqrt(847)*-2)**2) + 3.\nAnswer: -22066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/2)\/(8\/16). Suppose -f*v + 2*v = -5*p + 30611, 2*p + 4*v - 12234 = 0. Let n = p + -2121. Round n to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*t - 27 = 15, 16 = -4*t. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -59*t + 198. Give b(6).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*z - 0*a + 9, -12 = 4*a. Solve -f = -z*f + 2, d - f = -5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.9 - 5.18. Round u to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22376577.\nAnswer: 3, 673, 11083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211 + 335 = 6*n. Let o = n - 47. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 + k**2 - 75 - 36*k - 4*k**2 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.79 - -0.106. Round l to 1 dp.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(3\/3)*(-60)\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39822929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1578*f - 1573*f + 3209*f as w + x*f and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 59, 87, 127, 179, 243, 319?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5005)\/(-1365)*(-555)\/275?\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwiwi. What is prob of sequence iww?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1192387182?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4664 divided by 212\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7*j**2. Let r(z) = z**3 - 8*z**2 + 5. Let b be r(0). Let w(x) = 13*x**2. Let q = -1 + -2. What is b*v(l) + q*w(l)?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**2\/7 + 468*p\/7 + 2052 = 0. Calculate p.\nAnswer: -114, -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -204*o + 15. Let t be a(-5). Suppose -5*h - 4*j + t = 0, 4*j = 5*h + 5*j - 1050. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*v**4 + 60100*v**3 + 37630112*v**2 + 6270016*v.\nAnswer: 4*v*(v + 1252)**2*(6*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 110 = -35. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 183 + 265 + 31*s**2 - 200*s - s**3 - 80.\nAnswer: -(s - 23)*(s - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 - 5*u**5 + u**5 + 3*u**5 + u**5 - 3*u**5 + (3*u - u - 4*u)*(3*u**4 + 0*u**4 - u**4) - u**5 - 2 + 2.\nAnswer: -7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/14)\/(18\/42). Let l = -127\/95 + 14\/19. What is the second smallest value in 42, l, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*z - 10. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/5 or -31.05?\nAnswer: -31.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 7*h**2 - 18*h + 11. Calculate the remainder when 21 is divided by u(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1183 + -1188. Let v = 4.7 - 2.8. Let f = v - -0.1. Which is the closest to f? (a) -4 (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.53 - -15. Let l = y + 0.03. Put 2, l, 5 in descending order.\nAnswer: 5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 234 - j**2 + 237 + 244 - 943 - 2*j + 240. Calculate t(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15622 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3244 and 676.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -83, -172, -301, -476, -703, -988, -1337?\nAnswer: -1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/15)\/1)\/((-1)\/100)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -2. Let j(l) = 3*l**3 + 16*l**2 + 2*l + 14. Let w(p) = -2*p**3 - 5*p**2. Let q(x) = -j(x) - w(x). What is q(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -431*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from eeeeeqeeeeeeeqeeeq.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 32a041 (base 12) in base 8?\nAnswer: 3044661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4}. What is prob of sequence aaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 156695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -174, -0.2, -0.5, 0.5 in ascending order.\nAnswer: -174, -0.5, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 4*n**2 - 5*n + 13. Is 25 a factor of g(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 2.6?\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/9))**(-2\/25)*(r\/(r**(-6\/11)\/r))**(2\/17) assuming r is positive.\nAnswer: r**(12974\/42075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2343*f**2 + 1171*f**2 + 1174*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**2\/3 + 2675*d\/3 - 29546\/3 = 0?\nAnswer: -2686, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*j + 8*j - 43, 2 = j - m. Suppose -j*g - 60 = -2*g. Let p = -1 - g. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*c - 381, -62*c + 194 = -60*c - 2*r. Calculate the remainder when 277 is divided by c.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 5301 = -2780 - 2689 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**4 + 137236*x**3 - 1179777516*x**2 + 45751341020*x + 441586770400 = 0 for x.\nAnswer: -8, 47, 17135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7))**(-11) assuming n is positive.\nAnswer: n**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 at least -141\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/10 in 86, -1\/2, -2, -5.12?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 7. Let u be a(-11). Suppose 11 = u*s - 5. Solve s*h = -0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.5 + -10. Suppose 2*n = 1 + 3. Let j be (n\/(-5))\/((-7)\/(-5)). Which is the nearest to 2? (a) u (b) 2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1914 divide 100833348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 4*p + 3. Let d be w(-4). Let z = 4 - d. Suppose 11 = 5*s + z. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 g when three letters picked without replacement from {a: 4, g: 7, s: 2}?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -465839 (base 15) to base 6\nAnswer: -200003243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5544 and 9013032?\nAnswer: 99143352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/8)\/(1\/4). Suppose s - g + 20 = 4*s, -j*g = 5*s - 40. Let k = 677 + -676. Put k, s, 3 in descending order.\nAnswer: s, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0050902861 rounded to 6 dps?\nAnswer: 0.00509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 9*t - 1\/2*t**2 - 4. What are the prime factors of u(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 919570 is divided by 70733?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 14) to base 8.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**4 - 2*t**4 - t**4 + (0 + 0 - 2*t**2)*(4*t - 3*t + t)*(0 + 2*t + 0))*(16*t - 35*t - 15*t).\nAnswer: 374*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6915 + 7683 + 5752 = -407*y for y.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6082.534 years in centuries?\nAnswer: 60.82534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1923776?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224204 (base 11) to base 13.\nAnswer: c6620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2717, -5, -2, 2\/3, -7.\nAnswer: -7, -5, -2, -1, 2\/3, 2717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 8*x**4 + 704*x**3 + 2714*x**2 + 2190*x + 504 = 0.\nAnswer: -84, -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 688737363 to the power of 1\/2, to the nearest integer?\nAnswer: 26244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74535747?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -56d4 (base 15) to base 8\nAnswer: -43770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2915848 divided by -689\nAnswer: 4232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427732762?\nAnswer: 2, 213866381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29331560, 58663107, 87994654, 117326201, 146657748, 175989295?\nAnswer: 205320842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 351687 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 256, 303, 356, 421, 504, 611, 748, 921?\nAnswer: 1136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c**4 + 336140*c**3 - 134540*c**2 - 1075680*c = 0. Calculate c.\nAnswer: -13446, -8\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = h + 2*q, -2*h - 3*q + 7 = -23. Suppose -h = u - 5*g, 0 = -5*u + g + g - 13. Let m(d) be the second derivative of 5*d**4\/12 + d**2\/2 - d. Give m(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (188*x**3 + 172*x**3 - 203*x**3)*(-1 + 0 - 5).\nAnswer: -942*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103\/2 + -2991\/58. What is the nearest to 1\/2 in -5, q, -2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-3))\/(6\/(-90)). What is the nearest to 0 in h, -0.1, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a43 (base 12) in base 4?\nAnswer: 302103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 2*s + 14. Let h(w) = -w - 2. Let f be h(s). Solve f*q = -3*x - x - 1, 3*x - q = -15 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + 2 - (6 + -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 18*l - 17*l + 3*n, 4*n + 8 = 4*l. Suppose -l*r + f + 2241 = 0, 2*f - 482 - 412 = -2*r. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -76513 - 1a?\nAnswer: -76531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -47, -168, -359, -608, -903?\n\"Answer: 2*o**3 - 47*o**2 + 6*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 71447.46t?\nAnswer: 71447460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 797?\nAnswer: 3985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*g - 178*g + 176*g + 8442 = 0 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 10, 4*t + 1586 + 1622 = -4*u. Round u to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -897.676 times 6.1?\nAnswer: -5475.8236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 0.6, -30, 96 in increasing order.\nAnswer: -30, -2\/11, 0.6, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 531, 2097, 4697, 8331, 12999, 18701?\n\"Answer: 517*f**2 + 15*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3 + (-1 + 2 - 3)*(3 + 0 - 1))*(0 + 2 + 0)*(-a + 6*a - 4*a)*(38*a**4 + 2*a**4 + 8*a**4).\nAnswer: -576*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/42 and 125\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16331672 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - z = -4*o + 24, 0 = -2*z - 8. Suppose 0 = -0*p + p - 3. Let u(i) = 2*i**2 + 2. Let l be u(-3). Solve -f + b = -6, 2*f + p*f - l = -o*b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -9 + (-168)\/(-32).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*o + 3*o + 18*o)*(8 - 3 + 0).\nAnswer: 60*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -71*i + 102*i + 4*i**3 + 35 + 17*i**2 - 3*i**3. Let l be y(-15). Solve h + 4*h = -l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -400789.2203 - -401119.1. Let d = 330 - i. Let q = d + -0.12. What is q rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**3\/3 + w**2\/2 + w - 1. Let b(d) be the first derivative of v(d). What is the derivative of b(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -54b + -17?\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 41*s**6 + 73*s**4\/12 - 3*s + 654. What is the third derivative of u(b) wrt b?\nAnswer: 29520*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 42 = -7*g. Suppose -u + g = -z, 3*z = -5*u - 21 + 150. Calculate the remainder when 47 is divided by u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7335 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 111*t**4 + 21*t**5 - 4 + 9 + 219*t**3 + 7 + 84*t + 201*t**2 = 0.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -486, -3577, -11950, -28245, -55102, -95161, -151062, -225445?\nAnswer: -320950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 95\/90*-22 - (-40)\/180. Is 37 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 52*j**2 - 46*j - 56. Calculate w(2).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -930 * 5\nAnswer: -4650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -36*h**5 + 7624*h**4 + 126220*h**3 - 413616*h**2 - 98064*h = 0.\nAnswer: -18, -2\/9, 0, 3, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 442983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11609, -32742, -53875, -75008, -96141, -117274?\n\"Answer: -21133*q + 9524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + x - 3. Let p be t(-4). Suppose -4*s = -p*s + 1480. What is the common denominator of s\/(-8) - (-3)\/2 and 29\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23655310 (base 7) to base 3\nAnswer: 10222102220001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 8 + 7 + 2458408*k**2.\nAnswer: 2458408*k**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2 - 10) + -6 + 29 + 33?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 54 = -12*w. Let l(a) be the second derivative of 1\/6*a**4 - 3*a**2 + 0 + 2\/3*a**w + a. Factor l(d).\nAnswer: 2*(d - 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (321\/9)\/((-2)\/(-12)). Let f = -1217 + 2236. Suppose -7*r = z - f. Does 23 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*b*r*y + 48*b*r + 7075*b*y + 1244 wrt y?\nAnswer: 8*b*r + 7075*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 13*s + 11*s - 22*s. Let z(t) = 0*t + 3*t + 4*t. Calculate z(p(w)).\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001100 + 111001001?\nAnswer: 1011010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 98*q + 136. Let t(j) = 58*j + 68. Give -3*h(f) + 5*t(f).\nAnswer: -4*f - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 4:54 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2511 or 1?\nAnswer: 1\/2511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 10*p. Suppose -20 = -11*k + 2. Let o(n) = n. Let g(i) = k*s(i) - 22*o(i). Let h(b) = -4*b. Determine g(h(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 373 - 370. What is the smallest common multiple of l and 12\/16*44\/(-6)*-2?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1163 and -49\/38.\nAnswer: 44194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8058096 and 583920.\nAnswer: 40290480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.8+0.462\nAnswer: -1.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/2*3\/9. Which is the third biggest value? (a) l (b) 4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 42. Suppose 32 = 3*i + 4*a, 5*a + 122 - c = 4*i. What is the smallest common multiple of i and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 0.13.\nAnswer: -0.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + 220045?\nAnswer: 220056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -15.1. Let h = w + -3.9. Let v = 1.162 - 0.162. Sort -1\/6, h, v in descending order.\nAnswer: v, -1\/6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1009 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2.5, -2, -52\/9 in ascending order.\nAnswer: -52\/9, -2.5, -2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 53 - 76 + 118 + 308*g**3.\nAnswer: 308*g**3 + 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 14*w + 17. Let y be d(-15). Let s be (-327)\/(-2) + (-3)\/y. What is the highest common factor of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 515.1 - 601.1. Sort 0.1, t, 5 in increasing order.\nAnswer: t, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000124024 to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -460.031 and -249?\nAnswer: 211.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 74 = -35*q, -2*q = -37*u + 32*u + 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*r - 3*r - 11968 = -21*r. What is the remainder when 451 is divided by r?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -42. Solve -4*b = 2*t - 2, -3*b + c = -t + 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41923 (base 11) in base 5?\nAnswer: 3423014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4395697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 - v - 1. Let h(d) = -11*d**2 - 6*d + 3. Give h(f) + 6*o(f).\nAnswer: f**2 - 12*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1352852 - 0.046.\nAnswer: -1352852.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a**(1\/16)))*a**21)**42 assuming a is positive.\nAnswer: a**(7413\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s - 383632195 + 383632195.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Suppose -36 = -w*x + 4*x. Let v = -12 - x. Solve -14 = -4*s - v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5870*y = 5878*y + 176 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 6*m - 18, 5*f - 23*m = -25*m + 25. Suppose -1 + 7 = 3*u. Solve f*s - 1 = u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - a + 3. Let w be j(-3). Let r be 272\/2*w\/(-6). Suppose -10*d + r = -6*d. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 5.8297.\nAnswer: 6.2297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 342*y - 11542. What is j(34)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.27 - 717957.\nAnswer: -717956.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**4 + i**4 + 237*i**3 - 240*i**3 + 4*i + 2 as q*i**3 + y*i**4 + h*i**2 + p + w*i and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-10)\/(h**9\/h))\/(h**(-2))**(-21\/5) assuming h is positive.\nAnswer: h**(-132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 77692.84m?\nAnswer: 7769284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-44 + 4) - (324 - 304)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 2 (c) 4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155403244.\nAnswer: 2, 47, 826613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.6 - -3. Let n = -9.6 - w. Suppose 0 = o + 3, -4*t - 3 = -3*o - 32. Sort n, t, 3 in decreasing order.\nAnswer: t, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - v**2 - 8*v**2 - v + 0*v in the form n + p*v**2 + q*v and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f**2 - 4*f + 25. What is the tens digit of w(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(7\/5)*g\/g**(-4\/3) assuming g is positive.\nAnswer: g**(56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -20\/7779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 10*t**2 + 16*t - 9. Let n be d(-7). Let w = -264 - n. Determine c so that -69\/5*c**3 - 66\/5*c**w + 24\/5 - 3*c**5 + 42\/5*c**2 + 84\/5*c = 0.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 868.5162mg in grams?\nAnswer: 0.8685162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(6\/3)*8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 282 + 226 = 0 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, -63, -421, -1173, -2451, -4387?\nAnswer: -7113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2 = -10. Let l be 1*-22 - (d + 7). Let p = l + 28. Are 2\/3 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 5\/32, -4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 57996272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1234389 is divided by 66?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 + 165*t**2 - 80*t - 5. What is the remainder when 6836 is divided by m(82)?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -594*l + 2562 = -716*l for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21702 - 7628. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 3339162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**3\/3 - z. Let a(v) be the first derivative of -v**2\/2 + 2. Give a(j(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 5*i + 15. Let n be (4 + 0)*35\/20. Let f be p(n). Let t(q) = 14*q + 4. Calculate the least common multiple of t(f) and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 11*z - 1. Let b(j) = -12*j - 3. Let l = -10 + 7. Let f be b(l). Let o be (-27)\/33 + (-6)\/f. Determine p(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*q - 48. Is (0 + 24)\/(q\/8) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - f + f)*(-1 + 6*f + 0 + 4*f).\nAnswer: -20*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3)*-3)\/((-5)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 + 71. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 23*t - 22. Let x be a(-24). Solve 0 = 5*h + 3*q + 1, 3*q - x*q + 2 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 518478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*n + 1, -3*n + 16 = n. Suppose -h*s + 2*a = -11, -5*s - a + 13 = a. Solve -s*w = 2*x - 14, -5*x + 2*w + 16 = -0*w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 6 = 22 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -640 less than -176933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 20 (b) -0.2 (c) 2.53 (d) -0.4 (e) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -73, -2\/17, -1, 1, -7, 34?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 4. Let l be 2\/i + 334\/(-7). Let f = l - -94. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.647793 centuries in decades?\nAnswer: 56.47793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -904.\nAnswer: 1\/904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42236784 is divided by 78507?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13, 5, -13, -41?\n\"Answer: -5*s**2 + 7*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 357950110.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Let b(t) = -t**2 + 4*t - 3. Let y be b(k). Is y greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51395622 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 + k - 2. Let z be m(-2). Let v = -9 - z. Find the second derivative of -12*r**4 + v*r - 4*r**5 + 0*r**5 + 12*r**4 wrt r.\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 139 + -564?\nAnswer: -42a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-37 + 19)) + 2 + -2 - (22 + -94)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 833\/(-49) + 1\/(9*(-3)\/(-2943))?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3061 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17)\/(860\/295 + -3). Let t = 200 - r. Let a be 3*-3*(-6)\/(-459). What is the third biggest value in t, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 6\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 44394, 88930, 133466?\n\"Answer: 44536*p - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 104 (base 6) to base 4\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/2, 0, 79\/7, 2, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12281, 12255, 12211, 12149, 12069, 11971?\n\"Answer: -9*u**2 + u + 12289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 3310 = -3330. Solve 0 = -q - h - 0 - m, 5*q + 12 = -4*h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46\/8*8\/4*66 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-3)*(-9)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) 3\/5 (b) 0.3 (c) 1\/4 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.42565385 + 413.\nAnswer: 412.57434615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 12:00 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8801 + 8792 - 17593 - 37*x.\nAnswer: -37*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -131 + 20?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*x**3 - 184*x**3 - 16*x**3 - 2*x**2 - 2856 - x**4 + 2859 to the form w*x**4 + i + t*x + z*x**2 + m*x**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -5, -1\/6, 4\/5, -2 in descending order.\nAnswer: 4\/5, 2\/3, -1\/6, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 11178487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*f - 2. Let a be 20\/35 - (f - 17\/7). Solve -n - 4 = -2*l, l - a*l = 4*n + 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 8 = 62. Find the common denominator of -37\/5 and (-3)\/(-9)*3*57\/m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1404 - 2*a**2 - 2*a + a - 1407)*(a - 6 + 6).\nAnswer: -2*a**3 - a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*(2*sqrt(200) - sqrt(200))\/(-2*sqrt(640))*5.\nAnswer: 25*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -171 - -105. Let f be l\/297 - ((-7470004)\/(-18))\/(-1). Round f to the nearest ten thousand.\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*x**2 - 36*x**2 + 89*x**2.\nAnswer: 35*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2, 0.07, 3.4, 4, 28?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -166 - -169. Let s(c) = 3*c**2 - 2. Let z(n) = -n**2 + 1. What is b*s(t) + 8*z(t)?\nAnswer: t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4745832 and 6552?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r**3 + 8*r**2 - 2*r. Let a be (-1206779)\/17*1\/((-7)\/2). Let o(t) = 20287*t**3 + 2*t - a*t**3 - 3*t**2 - 6*t**2. Give 4*m(y) + 3*o(y).\nAnswer: -y**3 + 5*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/637 and -23\/2.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.265 - -1325.735. Which is the nearest to -2? (a) 1\/2 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 1 + 2*y**2 + 3 - 4. Let g(t) = -2*t - 10. Let d be g(-7). Let z(q) = 2*q + 5*q - d*q. Determine i(z(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -1 (b) -3 (c) 4 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/8 - (-86)\/8. Let d = 11 - q. Which is the third biggest value? (a) -5 (b) d (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 87515*f**3 - 2 + 4 - 87535*f**3.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 8. Suppose 4*p = -s + 15. Suppose -b - p*i = -9, -b + 2*i + 9 = 7*i. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440841?\nAnswer: 3, 23, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 850241828 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 1022757.\nAnswer: 9204813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -452612529 divided by 150870843\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + -2)\/((-9)\/(-189)). Is b <= -146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 50. Suppose -4*h = 4*u + y, 0*h = h. Let d = -308 + 306. Put d, 4, u in descending order.\nAnswer: 4, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = -4*t + 2*r + 12, -4*t - 20 = -4*r. Let x(d) = -5*d**3. Let v be x(t). Suppose 4*i = v*i. Solve 5*z + 4*u - 4 = i, 6 = 5*z + 5*u + 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0897 - 0.2897. Let y be (-1*10)\/((-16)\/(-8)). Let i be (-1)\/y + 28\/10. Which is the third biggest value? (a) j (b) i (c) 3\/55 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnt when three letters picked without replacement from {n: 4, t: 2, m: 7, p: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 30*i**2 + 27*i - 65. Give c(-31).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 111696756557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.7233103 centuries?\nAnswer: 72.33103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5572 = -5*d + 4023. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 121653 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -8. Let f = -0.12 - -0.62. What is the nearest to p in f, 1\/5, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(0 - 1\/(-9)). Let n be 17\/(-3) + 6\/y. Let p be (-2)\/(-6) + n\/(-3). Solve -1 + p = z + 4*h, -3*z = 5*h - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67 (base 10) to base 16.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-11))\/w)\/w**8)\/((w**(-1\/2)*w)\/(w\/w**(-12))) assuming w is positive.\nAnswer: w**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**5\/2 - r**4 - 36*r. What is the third derivative of z(q) wrt q?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 43390 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(198\/143)*(-40)\/1170?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 727 divide 1644659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -1. Let d(i) = -257*i**2 + 4*i - 5. Let m be d(1). Let l = 258 + m. What is the smallest value in g, l, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 893831567 to the power of 1\/3, to the nearest integer?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k - 2 = 9. Let w(j) = j**2 + 5*j + 4. Let p be w(k). Suppose 0*s + 30 = 3*s + b, -4*s = 2*b - 42. Solve -4*u + s - 1 = p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 30441, 28297, 26153?\n\"Answer: -2144*z + 32585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56109, -56083, -56041, -55983?\nAnswer: -55909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 78 + 708*b**2 - 710*b**2 - 3*b - 5*b**3 - 87 in the form o*b**2 + c + j*b**3 + a*b and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-25)\/((2\/(-2))\/(-1)). Let t = 6 - i. What is the highest common factor of t and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3033215 (base 6) in base 13?\nAnswer: -50a71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -189\/184 + 7\/46. Let h = 3\/104 - -163\/1560. What is the nearest to 0 in h, 0.1, k, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3496\/6 + 12\/(-18). Is w\/21 + (-12)\/(-42) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 36 = 3*l, 5*n + 2 = 4*n. Let y = l + -1. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 2:16 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3fffe (base 16) to base 11.\nAnswer: 169a51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17851707 divided by 9?\nAnswer: 1983523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3491123 times 0.4\nAnswer: 1396449.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1779\/1420 - 1\/355. Suppose 0*g + 25 = x - 5*g, 10 = 2*x - 2*g. Let j = -3545 - -3542. Sort x, j, -6, h in descending order.\nAnswer: h, x, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/20350 and 59\/222?\nAnswer: 61050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 184908*v**2 - 185505*v**2 - 4*v + 4*v to the form q + i*v**2 + z*v and give i.\nAnswer: -597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 10 - 6 + 16 + 2*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 795 and 3520536.\nAnswer: 932942040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*p - 350 = 188*p. Is p < 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.015 in 0.1, 2.585, -2, -3\/5, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f + 31 - 33 - f)*(0 + 2 - 4)*(2 + 1 - 5)*(128 + 101*f**3 - 128) to s*f**3 + a + i*f + l*f**2 + d*f**4 and give d.\nAnswer: -1616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*3*4 - sqrt(704))**2.\nAnswer: 85184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i + 1. Let z be q(-2). Let b be (-9 + 0)\/((-4)\/z - -1). What is the units digit of (10\/25)\/((-1)\/b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2324184, 2324278, 2324426, 2324622, 2324860, 2325134, 2325438, 2325766?\nAnswer: 2326112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 23046570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 429 * 253264\nAnswer: 108650256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-10 + (29 - 5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1 = -59. Suppose -k = -0*l - 3*l. Suppose -815 = -3*y - 5*w, l*w = 4*y - 0*y - 1040. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3321409332 to the power of 1\/5, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*o - 4, -2*o = -13 + 3. Let i be 12*(518\/(-21))\/(g\/(-5)). What is the common denominator of i\/114*2\/(-20)*-2 and 37\/4?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-609)\/(-261))\/(1\/(-3))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 146362 or 146810?\nAnswer: 146810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -w + 4 + 13, -5*d = 3*w - 23. What is the second biggest value in w, -0.3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 0\/((-2)\/(-2)) + 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h - 27. Let l(g) = 2*g**2 + g - 15. Let a be l(7). Let z = 63 - a. Is h bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 314 = -316. Does 58 divide (36\/(-21))\/(p\/469)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.069 + 0.084. Let t = n + -0.215. Which is the second smallest value? (a) -1\/2 (b) -16 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*c - 20*c + 10*c - 157*c.\nAnswer: -241*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 10*y - 5. What is the units digit of q(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -15341.\nAnswer: -5\/15341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117.4 - 118.4. What is the third biggest value in -2\/7, 0.1, j, 4\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 8 = -24. Suppose u + g*b - 6 = 0, 2*u + 0*b - 4*b = 0. Let l(s) = 0 + 3 - 3 - u*s**2. Let n(a) = -3*a**2. Determine n(l(q)).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5119, -5068, -5017, -4966, -4915?\n\"Answer: 51*z - 5170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c - 8. Let h be (6\/(-8))\/(10\/(-120)). Let p be r(h). Let y(t) = -111*t + 2. Let b be y(-2). What is the greatest common divisor of p and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4890, -7319, -19528, -31737, -43946?\nAnswer: -56155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1906 + f - 1906 + 27*f**3 + (-2*f + 4*f - 4*f)*(-5*f**2 - f**2 + 2*f**2).\nAnswer: 35*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 467368451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -554952*j**4 + 14*j**2 - 796553.\nAnswer: -13318848*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmshmht. Give prob of picking 1 m and 1 s.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -647 + 455. Let v = -48 - f. Determine n so that 3\/4*n + v + 15\/8*n**2 + 9\/8*n**3 = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14256\/65? (a) 0 (b) 2\/5 (c) 105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 307*a**3 + 18*a**2 - 32*a - 218. List the prime factors of z(6).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 17*r - 16. Let y be d(-18). Let t(b) = 7*b**2 - 6*b + 3. Calculate the remainder when 112 is divided by t(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67213?\nAnswer: 67213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-1 - -3)*(-1)\/(-2) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u + 460 - 449 + 2*u as x*u + f and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-40)\/6 - -8*2\/(-12). Let i be ((-33)\/6)\/(4\/z). Solve 2*d - i = 4*g + 1, 2*d + 3*g = -16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 + 192. Round u to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 4*r + 1\/7*r**2 - 1\/84*r**4 + 0 + 1\/42*r**3. Factor c(o).\nAnswer: -(o - 2)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 1. Let c be l(-1). Let u be (4\/(-2))\/((-2)\/(-4)). Let d be u\/(-18) + (-140)\/549. Is c bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0318 times -50.8\nAnswer: 1.61544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1158257*d**2*g + d**2 - 3053*g - 45 wrt d.\nAnswer: 2316514*d*g + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (58\/(-1))\/(32\/(-88)*5). Let m = p + -621\/20. What is the common denominator of 31\/160 and m?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -163*p**2 + 5\/2*p**5 + 68\/105*p**7 + 2 + 0*p**4 + 0*p + 0*p**6 + 0*p**3. What is the third derivative of w(c) wrt c?\nAnswer: 3264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -26*p - 9. Calculate s(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -j - 0*j. Let n = 182420 + -182412. Is j >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-3))**(3\/11))**(-1\/16) assuming i is positive.\nAnswer: i**(-3\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4353 - -6855. What is the tens digit of ((-21)\/(-14))\/(3\/o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 602 + 346 = 237*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7386*u - 15436?\nAnswer: -7386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -0.5, -0.2, -2\/11, 1\/25, -1625?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 1:13 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 10:49 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.009 + 0.0089432. What is w rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14564 + -14564.045. Is p greater than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -231\/355967 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 265691265 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-14))\/(5*(-11)\/385). Put 5, -6, c in increasing order.\nAnswer: -6, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 4 + 0 - 1 + 0 + (-1 - 6 + 1)*(-1 + 2 + 0) + 0 + 2 - 3)*(0*a**2 - 4*a**2 + 5*a**2).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -7*n**3\/3 - 13*n + 79. Let o(f) = 4*f**2 + 7. Calculate -6*k(y) - 11*o(y).\nAnswer: -2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*n = 0. Suppose 2*q - 24 = -2*v, -v + 16 = -n*q + 5*q. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1191366?\nAnswer: 2, 3, 11, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 153449300 divided by -4\nAnswer: -38362325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 299962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.2, 3, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*(1 + sqrt(704) + sqrt(704)) + -4 + sqrt(704) + -1).\nAnswer: -9 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**2 + 588361190*m - 17308444494910805 = 0. What is m?\nAnswer: 58836119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 67, 267, 599, 1063, 1659, 2387, 3247?\n\"Answer: 66*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56486.9913799 + -56487. Round m to 4 dps.\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 + 0*o**3 + 7*o**3 + (-80*o + 2*o**3 + 80*o - 12)*(0 + 1 - 2).\nAnswer: 3*o**3 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 14. Let t be c(-7). Suppose -4*u = -4*n + t*n - 43, -u - 4*n + 27 = 0. Let y(f) = -3 - 15*f + f**2 + 6*f + 12. Determine y(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 9:32 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106.89849 - -106.9. What is f rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*l + 287620, 4*p - 3*l + 14214 = 244287. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 44*d**2 + 140*d - 100.\nAnswer: 4*(d - 5)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4911128 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 61 = -t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*l - 1582 = 29*l - 54*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.18 - 20.82. Let b = i - -21.2. Let f = -0.5 - -0.6. What is the closest to f in 0.4, b, 3\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1.02. Let j = 1.52 - c. Let x = 1 - j. Put -0.1, 1\/4, x in ascending order.\nAnswer: x, -0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-2))\/v)**(-2\/45))**(-11\/6) assuming v is positive.\nAnswer: v**(22\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 11:33 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**3 - 2*z**2 + 2. Suppose m + m - 22 = -4*p, -5*m - 3*p = -34. Let y(c) = -6*c**3 + 5*c**2 - c - 5. Calculate m*h(u) + 2*y(u).\nAnswer: 3*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 7 - 7. Let s = 247 + -94. Let k(i) = 6*i**2 + 153 - s. Give k(t(g)).\nAnswer: 6*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 6465?\nAnswer: -6461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2694, -2720, -2746, -2772?\n\"Answer: -26*t - 2668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b835532 + -3?\nAnswer: -b835535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 + 1 - 1 + (2*u - 2*u + 2*u)*(1 - 1 + 3*u**2) - 3*u**3 - u + u + (-15 - 10*u + 15)*(-2 - 1 + 5)*(-u**2 + 4*u**2 - 5*u**2).\nAnswer: 45*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2) + 14\/4. Let i be 336\/(-63) + (-4)\/(-3) + -5 + 5. Let t be -1*(-1)\/2*0. Put i, a, t in increasing order.\nAnswer: i, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9640 and 312.\nAnswer: 375960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-2 + (-1 - -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11827.\nAnswer: 11827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/665 and 1\/175.\nAnswer: 3325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.4436053 to three decimal places.\nAnswer: -5.444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 304597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44178 less than or equal to 42657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1600690242 and 3246?\nAnswer: 3246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d**(-31)*d*d*d\/(d\/(d**(-5)*d)) assuming d is positive.\nAnswer: d**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.052 and -9.6883.\nAnswer: -0.5037916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/(((-25)\/(-20))\/(-5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6710765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/32*1)\/((-19)\/((-14820)\/(-39)))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2077 or -1715?\nAnswer: -2077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 364 - 514. Let p = v - -279. What are the prime factors of p?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 10*m**3 + 3*m**2 - 2*m - 5. Let o be j(-3). Let a = o + -951. Let c = -447 - a. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a**2 + a - 1. Let u be f(1). Let o(g) = -4*g + 4. Let i be o(u). Let z be 2\/(-3) + 16\/i. Solve z*k + 3*l = -4*k + 11, l = -3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5 + -2 + sqrt(112) + -5 + 3 + sqrt(63) + (sqrt(252)\/sqrt(4) + -2 - sqrt(63)))**2.\nAnswer: -14*sqrt(7) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-259)\/(-1850)*-35 - ((-62)\/(-20) + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 736, 1538, 2340, 3142, 3944, 4746?\n\"Answer: 802*b - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 453.7575ug?\nAnswer: 0.4537575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**5 + 0 + 0 + (3 - 4 + 15)*(-2*f**5 - 3 + 3).\nAnswer: -29*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.47 bigger than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -0.1. Let m = 6.199 - 6.2. Let p = -0.199 + m. What is the nearest to p in -2, 1\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3843995, -7688001, -11532007, -15376013?\n\"Answer: -3844006*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-22)\/(-4))\/((-690)\/(-1380))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(5\/(-2) + 2). Let p = 434049\/8 + -54256. What is the nearest to n in 1\/3, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1894.743 less than 68.5?\nAnswer: -1826.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 210 = -0*g. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**6\/360 + 14*y**3\/3 - y - 3. Let l(v) be the second derivative of q(v). Let j(h) = -60*h**2. Calculate j(l(s)).\nAnswer: -60*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 810806116?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 488982 divided by -1?\nAnswer: -488982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11029*c**2 + 2*c + 412.\nAnswer: 22058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 2 - 1) + (10 - -7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + -2.2. What is the closest to 2\/3 in 0, -7\/2, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a45 + 6338?\nAnswer: 48f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 765802499 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66.4 - -226.1. Let f = -57 + 208. Let w = f - u. Round w to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7)*t)**(3\/10)*(t*t**0)\/((t**(6\/11)\/t)\/t) assuming t is positive.\nAnswer: t**(411\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/7)\/u*u)\/u**(-4))**(5\/6) assuming u is positive.\nAnswer: u**(85\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -12 - 254*w - 251*w + 511*w. Let c(l) = -l. Give 5*c(u) + d(u).\nAnswer: u - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q - 23*q = -8*q + 540 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29516)\/(-846) + -36 - 484\/18.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 67 = r, 0*z - z = -5*r - 97. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 46*m + 5 = -45*m, -25 = 5*j + 6*m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -102, -209, -316, -423, -530?\n\"Answer: -107*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -50346814 times -33\nAnswer: 1661444862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 47535936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 901136 and 23429536.\nAnswer: 23429536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 25 - 17 - 1375*q + 59 in the form f + a*q and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 34. Let i = j - 5. Let n be ((-2)\/4)\/((-3)\/6). Solve -3*o + n = -0*o + u, -i*o = u - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 4. Suppose 5*p - 4*o - 26 = 0, 0*p - 5*o = 4*p + 12. Let x(i) = i + 1 + 0 + 2 - p. Determine x(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 5*u + 105, -m + 4*u - 14 + 43 = 0. Suppose -4*k = 5*y + m, k - y - 2 = 3. Solve k = 2*v + 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5322 - 7662. Is -2339 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 25 = -5*c, -23*c - 3 = -24*c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c + 17. Let d be l(3). Solve -23 + 6 = d*t - 3*i, 5 = -5*i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 690, -143, 0.151 in descending order.\nAnswer: 690, 0.151, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 - 58. Sort -2, 5, f, 0 in decreasing order.\nAnswer: 5, f, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 559 divide 92265536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 10:09 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 235*x + 1680. What is t(-7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24816397 - -2) + 1 + -3. Let k = -36916397 - j. What is k rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9.9, 122\/23, -2, 3, -0.6?\nAnswer: 122\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-2 - (1 + (0 - 13))) + -900 + 930.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(68) - (sqrt(68) + (sqrt(68) + -1)**2 + 3)) + sqrt(68).\nAnswer: -75 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w**2 + 5. Let n(q) = 7*q**2 + 2*q - 6. Let v(z) = 7*z**2 + 3*z - 6. Let j(l) = -3*n(l) + 2*v(l). Give 4*j(h) - 5*k(h).\nAnswer: 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-eight fifths of a litre?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/5 of a millennium?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(343) - sqrt(252)*-2.\nAnswer: 2 + 19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26325853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4597?\nAnswer: 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -1\/600*d**6 + 1\/10*d**4 + 1 + 11\/300*d**5 - 24*d**2 + 0*d**3 + 0*d. Determine b, given that c(b) = 0.\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 157 + -158. Let r = 3 + v. Sort 2\/15, 6\/5, r in ascending order.\nAnswer: 2\/15, 6\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13677.72784 rounded to the nearest integer?\nAnswer: 13678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/18331 greater than or equal to -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1191*l**5*n - 34*l**5 - 8918*l**2*n + 2*l*n - 6*l - 3 wrt l.\nAnswer: 71460*l**2*n - 2040*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -d + 15, 4*d - d = 0. Let l = -1.06 + 0.06. Let n = -0.8 - l. Which is the second smallest value? (a) -3 (b) n (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**2 + j - j + (3 + 2 - 4)*(0*j**2 + 0*j**2 - j**2) + (2 - 2*j - 2 + 2*j - 2*j - 3*j + (-1 + 2 + 0)*(0*j - 2*j + j))*(-3*j - 4*j + 0*j).\nAnswer: 38*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 4:32 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 45 = -5*j, -712 = -15*a - 652 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1575*s = -1577*s + 5*x - 121, -5*s + 77 = 4*x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1985599 < -9927997\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 520449337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 - 122*p - 2868. What is u(79)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**3 - 358*o**2 - 149*o + 50. Give j(-89).\nAnswer: -2531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 39, 2, 0.03936?\nAnswer: 0.03936","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 1089.\nAnswer: -3267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**2 - 3*v + 5. Let c(w) = -2*w**2 - 3*w + 4. Calculate 5*c(d) - 4*n(d).\nAnswer: 2*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86495397.\nAnswer: 3, 569, 50671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -619, -1206, -1795, -2386?\n\"Answer: -u**2 - 584*u - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -45 in -0.5, 8, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 + 67. Put -21, i, -5, 5 in increasing order.\nAnswer: -21, -5, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38 and -0.5?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 748 and 134266.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**5 + 5*q**4 - 135*q**3 + 135*q**2 + 270*q = 0.\nAnswer: -6, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237456.\nAnswer: 2, 3, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, z: 3, e: 3, p: 1, t: 2, c: 1}. What is prob of sequence pee?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -293 - -293.153. Let b = r + -0.093. What is the second biggest value in 3\/2, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 24 - 26 = 0. Sort -9, -5, a.\nAnswer: -9, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48696 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - t + 5, 3*h + 4*t + 2 = -4. Suppose -h*j + 14*j = 240. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**2 - 735*c**3 - c + 669*c**3 + 2*c**2 - 1 to v + n*c**3 + x*c + m*c**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5950632 by 8.\nAnswer: -743829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2134225 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4 - (-7)\/2. Suppose 5 = a*w - 13. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 501952 and 264.\nAnswer: 1505856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -33*s**2 - 1. Let z(f) = 44*f**2 - 6*f**2 - f + f - 36*f**2. Give z(l(n)).\nAnswer: 2178*n**4 + 132*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43459 is divided by 439?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 7)\/((-2 - 18)\/5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + sqrt(847) - sqrt(847))**2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.096024 to 4 dps.\nAnswer: 0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5151.3 rounded to the nearest 100?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3588260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 8166*f - 48976. Calculate x(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1330567 and 1330571 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7.10212 times -3\nAnswer: 21.30636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-2))\/(-1 - (-10 + 10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -115103555?\nAnswer: -115103552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*h + 105*h + u = 42*h, -3*h - 16*u + 153 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/((d\/(d\/(d*d**(-11\/4))))\/d)))**(16\/3)*d**(-2\/15)*(d\/(d**(-15)\/d))\/d assuming d is positive.\nAnswer: d**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*z**2 + z**3 - 53*z**2 - 60*z**2 - 40*z**2.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z - 2 + 2*z + z - 4*z. Is 14 a factor of i(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.46 - 0.46. Which is the smallest value? (a) -10 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1586959?\nAnswer: 11, 89, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - f - 4. Let y(l) = -3*l + 24. Let m be y(8). Calculate w(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeelel. Give prob of picking 2 e and 1 l.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 3*w - 2, -3 = 4*h + 3*w - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = y - 2. Let s be 2 + 1 + (-1 - y). Which is smaller: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjqjjjj. What is prob of picking 4 j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93868, 187737, 281606, 375475, 469344?\nAnswer: 563213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619*i + 587*i - 1175*i = -4*x - 71, -4*i + 36 = -4*x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + -1 - -4)*(-89 - 2). Suppose 5*w + 176 + 94 = 0. Let i = w - r. What are the prime factors of i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-43)\/(-9) - 2\/(-9). Let k = 8 - s. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2183622.0093 + -2183527. Let g = l - 95. Round g to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4514694 is divided by 1981.\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 + -67 + 8\/((-24)\/(-39)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 11. Let n be v(-7). Suppose 2*q = 5*b + 14 - 0, -2*q + 3*b + n = 0. Factor 8 + 7*p - p**4 - 27*p - p**4 + 4*p**3 - 2*p**4 + q*p**2.\nAnswer: -4*(p - 1)**3*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 5:28 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -38*(105\/(-112) - (-1 + 0)). Is -2 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1139 is divided by 69?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 315.767 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -9 - 97*p**2 - p**3 + 102*p**2 + 3. Give q(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34196 is divided by 450?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-8)*(-328)\/128. Which is smaller: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 2. Suppose 0 = -2*r + 4, -c = 2*c + 5*r - 4. Let p be k(c). Suppose 4*i - i - 15 = p. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 2, 4251?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + n - 55 = 3*o, 4*o - n - 101 = 0. Suppose 5*f - 138 = -3*p, -o = -2*f + f + p. Let r = 26 - -24. What is the remainder when r is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 196308556 to the nearest integer?\nAnswer: 14011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) - sqrt(240)*5) + sqrt(240) + sqrt(240))\/sqrt(12) - (2 + 1*sqrt(20)).\nAnswer: -6*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7283 - -58359\/8. Let l = 1081 - 7603\/7. What is the common denominator of l and w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3230?\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153, 72, -5 in descending order.\nAnswer: 153, 72, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*f**2 + 22*f**2 - 2*f**5 - 41*f**2 + (-f + 0 + 0)*(-5*f**4 + 4*f**4 + 0*f**4).\nAnswer: -f**5 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -2\/3 (b) 4 (c) 0.3 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4657.\nAnswer: 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*z + 5*z + 30. Let o(y) = -6*y**2 + 0*y - 25*y**3 - 7*y + 2*y - z*y**3 - 6. List the prime factors of o(-2).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 208.15338.\nAnswer: 208.65338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 70, 69, 68, 67?\n\"Answer: -s + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x + 36*x - 3825 = 0. Calculate the highest common divisor of 120 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a - 7. Suppose 9 = 3*y, -4*y + 22 = 4*s - 2*s. Let b be r(s). Let o be -3 + 15 + b\/3. What is the greatest common factor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 2.9, 0.2, 125, 3 in descending order.\nAnswer: 125, 3, 2.9, 1\/2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2264\/11 or 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 132 - 129. What is the biggest value in v, -0.5, 1.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 469.28493ms to hours.\nAnswer: 0.000130356925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7827777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 607362 and 115688?\nAnswer: 2429448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 19*d - 32. Determine w(-1).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f - 3. Let v(u) = 6*u + 9. Let o(j) = j**3 + 8*j**2 + 8*j + 56. Let s be (-144)\/(-6)*2\/(-6). Let z be o(s). Determine z*k(y) - 3*v(y).\nAnswer: -2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 20, 19, 24, 41, 76, 135, 224?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8321 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {l: 3, e: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + o + 1. Let p(u) = -4667*u + 4 + 3*u**3 + 4673*u - 4*u**3 + 2 - 6*u**2. Give -6*i(n) + p(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5208.5 - -5221.1. Let g(c) = -c**3 - 6*c**2 - 7*c - 7. Let q be g(-5). Put 0.2, -1, j, q in descending order.\nAnswer: j, q, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 274.1609 to 0 decimal places.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(((w*w\/w**(-3\/2)*w*w)\/w)\/w)*w)\/w**(-3))\/(w*w**(-1)*w**(-7)) assuming w is positive.\nAnswer: w**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9656630486 and -0.2.\nAnswer: -9656630486.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -4 - 4*-1. Suppose -373 = -4*b + s, 0 = 3*b - w*s - s - 282. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a millennium?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*b**3 - 14*b**3 + b**2 + 301 - 302 as h*b + n*b**2 + f + t*b**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 1557?\nAnswer: -1559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14223858 is divided by 1628.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (60\/(-5))\/(-3) + 36. Let x be 448\/(-72) + 6 - y\/(-18). Suppose x*l + 54 = 58. Solve -7*k = -9*k - l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 11, t: 2}. Give prob of picking 2 t.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.13428188 - -0.13443. Round y to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8770 and -0.9.\nAnswer: 7893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34281)\/(-30472))\/((-444)\/32)?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + 425. Calculate the remainder when s is divided by 75.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -144*m + 71. Is i(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5 greater than or equal to 152111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 9*a**2 + 15*a - 48. Let u(p) = -p**3 + 6*p**2 - 8*p + 25. Let h be u(5). Let l be o(h). Solve 0 = i, -l*i + 2 = -m + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39.2 * -5.\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 323023 to the nearest one thousand.\nAnswer: 323000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -191.17379 and 1.\nAnswer: -190.17379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8645 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43\/120 + -1\/40. Let g = -337\/5 + 67. What is the nearest to 1.5 in c, g, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*a + 90*a - 945 = 0. Suppose -12*p + a = -3*p. Solve 5*t - 4 = -3*r + p, t - 4*r + 18 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2690, 2689, 2688, 2687, 2686?\n\"Answer: -i + 2691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from {u: 6, m: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6525 is divided by 3243.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2496 and 27528.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2.1, -0.5, 63, 6, -2\/23?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 28*n**2 - 27*n + 5. Let r be d(-27). Solve 30 = -r*p - 5*b, -p + 3*b = -2 - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.275323 - 0.166853. Let a = y + -1.11. What is a rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 10 + 9\/(-3). Suppose 2*m - 718 = -i*s, -m - s = 4*s - 356. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1 - (0 - -9)) + 1 + -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 9*f - 17. Suppose 5*g - u = -30, g + 5*u - 8*u = -6. Let t be a(g). Which is greater: -1\/453 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -441 - -330?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -759329815*r**2 + 1220*r**3 + 759329815*r**2.\nAnswer: 1220*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.5 (b) -2 (c) 1\/71 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 17*r**2 - 13*r + 4. Let j(q) = q**2 + q - 1. Let w(a) = 11*a**2 + 4*a - 6. Let d(o) = -14*j(o) + 2*w(o). Determine 13*d(i) - 6*t(i).\nAnswer: 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 17. Let b(y) = -17. Let a(c) = 3. Let q(i) = -10*a(i) - 2*b(i). Determine 2*l(s) + 9*q(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 44. Suppose q = -2*x + 130 + 24. Calculate the common denominator of 36 and 7\/(-3)*x\/(-33).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 35, -57, -0.5, 3 in descending order.\nAnswer: 35, 3, 1\/3, -0.5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -1.4. What is the biggest value in -5, -2\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1039.36192 * -0.06\nAnswer: -62.3617152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 - 266*u**2 - 7840*u + 68600.\nAnswer: -2*(u - 7)*(u + 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 20*o**2.\nAnswer: -4*o**2*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31508 is divided by 1124.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven thirds of a minute?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14907615494419 plus 0.9?\nAnswer: 14907615494419.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x = -27*x + 3*y + 27, x + 5*y = -45. Let p = -2 - -5. Which is the closest to x? (a) p (b) -2\/3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -6, 5, -1\/5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-35)\/105 + (-40)\/(-12). What is the highest common divisor of a and 7311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 19*g + 27. Suppose 2*t = -0*t. Suppose h - 3*u - 30 = -t*h, 0 = -2*h + 4*u + 52. List the prime factors of z(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.46024 millilitres to litres.\nAnswer: 0.00146024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107 or 333?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**9\/72 - z**5\/20 - 7*z**2\/2 + 1. Let x(r) be the second derivative of v(r). What is the third derivative of x(k) wrt k?\nAnswer: -840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (27 + -17 + -9)*19. Let h(l) be the third derivative of 8\/75*l**5 - 1\/150*l**6 + 0*l**3 - d*l**2 - 8\/15*l**4 + 0 + 0*l. What is y in h(y) = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636566 greater than 636549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00674715 rounded to 4 decimal places?\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59352497?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -110101?\nAnswer: 110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d - 3. Let v(b) = -17885*b - 882. Give -294*o(y) + v(y).\nAnswer: -18473*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.3, 1.1, 328, -4\/5, -1\/2, 16, 3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/75)\/((-3)\/((-27)\/(-6))).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -452829*k**5 + 3*k**4 + 1382530*k?\nAnswer: -9056580*k**3 + 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 1915.\nAnswer: 28725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.46 (b) -2\/3 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/48098455 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-2 - (22 + -9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.63 * 0.4338.\nAnswer: 0.707094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/5 - 4\/10. Suppose 10*h - 10 = 5*h. List the prime factors of (l - 0) + 40\/h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 8. Let q(y) = y**2 - 1. Let l(g) = c(g) + 2*q(g). Does 13 divide l(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 7*w + 8. Suppose w*i = i + 18. Let x = i - 7. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 7. Let i be g(-10). Let x(f) = -3*f - 5. Let k(r) = r. Let p(y) = -4*k(y) - x(y). Let o be p(-4). Solve -i*m + o = -3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyh when three letters picked without replacement from ykyuhyuyyhhy.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (6 + -4 - 3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 1 - 21 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 + 5*w**2 - 2*w**4 - 3*w**2)*(1 - 3 + 0)*(-3 + 3 + 1).\nAnswer: 4*w**4 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 887 divide 218251083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k**3 + 4*k**3 + 7*k - 71*k**2 + 72*k**2. Let a be l(3). Solve -2*u = -a*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 6*r - 4. Let q be i(-4). Suppose 2*o = 5*w - 24 - 4, -4 = q*o + 3*w. What is the common denominator of o\/20 - 463\/(-90) and -95\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 2:11 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 10:05 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5007 times -145?\nAnswer: 726015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = -i. Suppose i*o + f - 20 = -3*f, f - 5 = -2*o. Solve 6*y - y + 25 = o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h. Let i be m(-3). Let o be (-1 - 906\/4)*10\/(-15). Let w = 151 - o. What is the nearest to w in 4, i, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 2748?\nAnswer: 5496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2932 is divided by 2887?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1168\/3942)\/(-8 + (-5291)\/(-660)). Factor -52\/9*p - z - 4\/9*p**2.\nAnswer: -4*(p + 5)*(p + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1940*u**4*x - 183*u**3*x - 37*u**2*x - 2*u**2 + 16*u*x - 1 wrt u?\nAnswer: 46560*u*x - 1098*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*g = 3*g, 8*a - 2*g = 4*a. Solve -11*v + d = -6*v - 20, 3*d = a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-10)*-2*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02305497842 rounded to 6 dps?\nAnswer: 0.023055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -29*b + 80. Let v be j(3). Let x be (-10 - -2 - v)*(2 - 3). Solve d - 1 = -x for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1003 (b) 13 (c) -528\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 334 (b) 0.4 (c) -4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 2. Let l be r(3). Let a be (30\/(-18))\/(l\/15). Solve i - 6*i + a = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 32*h - 243. Let i(w) = w**3 + 8*w**2 - 13*w - 4. Let z be i(-9). What is the tens digit of q(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11287974 + -0.26.\nAnswer: -11287974.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a = -100. Let d be 17\/4*(-6)\/(-291). Let g = 4239\/776 - d. Calculate the common denominator of a and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 3*m - 50 - 11, 2*r + 8*m - 2 = 0 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5\/3 + 2776*x**4 + 157286*x**3\/3 - 309368*x**2 + 1558328*x\/3 - 265280 = 0. What is x?\nAnswer: -4145, -24, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is -1794 times 0.022?\nAnswer: -39.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -6) + -2 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.845467 centuries?\nAnswer: 784.5467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9*607\nAnswer: 5463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/76 and 5\/12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 223843528 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 19*c**2 - 19*c + 24. Let p be d(-20). Let n(m) = 5 - 2*m - 6*m**2 + p - 13 + 10 - m**3. What is the remainder when 68 is divided by n(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**2 + 131133864*u - 1074755642973156 = 0. Calculate u.\nAnswer: 16391733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 249, 280, 369, 546, 841?\n\"Answer: 5*r**3 - r**2 - r + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -70743 plus -11?\nAnswer: -70754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*d + 1813 - 725 = 0 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6651048 + 3.\nAnswer: 6651051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 6\/(-8) + (-3762)\/(-152). Solve 11 = -3*h + z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*b - 7. Suppose b*x = 3*w - 17, -4*x - 4 = -0*x. Find the third derivative of -10*h**3 + 10*h**3 - 7*h**w + h**2 wrt h.\nAnswer: -168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h - 225772 - 59577 + 42959. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 284059?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 734840?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 131*t - 3488. Calculate f(94).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + m - 15 = 0, -32*t - 2114*m + 62 = -2111*m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1154897?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o - 10. Let p(t) = -t + 1. Let i(n) = -n - 22. Let u(b) = i(b) + p(b). Let r(z) = -5*f(z) + 2*u(z). What is r(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 24 + 43)*(2 + u - 2).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*u - 79*u + 14099*u**3.\nAnswer: 14099*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10011 + 312410?\nAnswer: 302344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45948*l + 45951*l = 5*r + 7, -4*r = -4*l + 20 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13937*j**2 + 7464*j**2 + 7883*j**2.\nAnswer: 1410*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from khm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*f + 109*f + 12 = 0. Let h be 9\/f + 40\/32. Solve h*u + 1 = -7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 7*m**4\/3 + 23*m**3\/3 + 2*m**2.\nAnswer: m**2*(m + 3)*(7*m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6776, 3566, 356?\n\"Answer: -3210*t + 9986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 1. Let g(m) = 4*m**2 + 4*m - 1. Let w = -903 - -902. Determine w*g(c) - 3*q(c).\nAnswer: -c**2 - 4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 8*o**2 - o - 1. Let f be c(-8). Suppose 2*q = f*q + 35. Let i = 5 - q. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k - 3 - 2036*k**2 + 4066*k**2 - 2018*k**2 + 3*k in the form p*k + q*k**2 + c and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -17. Suppose -a + h = a. Sort a, -2, 4.\nAnswer: -2, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -1\/6, 0.2, -2\/13, 0.027?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.4933142 micrograms?\nAnswer: 0.0004933142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i. Let t(k) = 18 - 34 + 5 + 0*k + 11 - 7*k. Let b(c) = 2*c**2 + 3*c - 3. Let q be b(-6). Give q*m(g) + 6*t(g).\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/423062 and -69\/21640?\nAnswer: 8461240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 2*c + 0*c)*(3*c**4 + 0*c**4 - 2*c**4) + (3*c**4 - 4*c**4 - 6*c**4)*((2 - 2 + c)*(0 + 0 - 1) + 7 + 10*c - 7).\nAnswer: -64*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-45)\/20)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -r + 36. Let z = r - -21. Let q = 376.5 + -376.5. Is z greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 57, -2, 18, -3 in decreasing order.\nAnswer: 57, 18, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k. Let f(w) = w + 1. Let m(v) = 2*f(v) - t(v). Let r(y) = -y + 3. What is -5*m(q) + 3*r(q)?\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6574560 less than or equal to 6574557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10937 = -c + 10929 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/11)*j*j\/((j*j**(-31)*j*j*j)\/j)*j\/(j*j**(-38)\/j)*j\/j**(-26))**(-17\/5) assuming j is positive.\nAnswer: j**(-3604\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 22757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -20225 (base 7) to base 2\nAnswer: -1001100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 + i**4 - 2*i**4)*(-3 - 2 + 3 + (-5 - 3 + 31)*(-5 + 1 + 1)).\nAnswer: 71*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -263583, -263585, -263587, -263589, -263591, -263593?\n\"Answer: -2*w - 263581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243578370, -487156746, -730735122?\nAnswer: -974313498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.54438 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - 26. Calculate the greatest common divisor of 198 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - q - 5*j + 10, 0 = q + 4*j - 17. Is q*(-1528)\/48 - (-6)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*h + 85*h - 216 = 0. What is the lowest common multiple of 760 and h?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*c**4 - 30\/7*c**2 + 9\/7*c**3 + 0 - 72\/7*c.\nAnswer: 3*c*(c - 3)*(c + 2)*(c + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2*q + 2*q + 392, 1 = q. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -145 - -390. Suppose 0 = -12*d + 11*d + t. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -3. Let j = 43 + -45. Let o be 1 - (3 + 0*1\/j). Sort d, 4, o.\nAnswer: o, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*n = -59*n - 56 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by -24258.\nAnswer: -15\/4043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*b - 2 = 0, 2*l = -0*l - 3*b + 17. Solve p - 4*p = -5*g + 16, 4 = l*g + 2*p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1297755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637428 is divided by 318712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1609503 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 - 38395898.\nAnswer: -38395876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -311*y**6\/30 + 187*y**4\/6 - 496*y. Find the third derivative of z(j) wrt j.\nAnswer: -7464*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**7\/504 + l**6\/72 - 5*l**4\/18 + 13*l**3\/6 + 3*l. Let j(i) be the second derivative of q(i). Solve j(b) = 0 for b.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -95147366*q**3 + 58*q**2 + 98*q + 10683.\nAnswer: -570884196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1, 1211\/68, -12 in decreasing order.\nAnswer: 1211\/68, -0.2, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -190, -14176 in descending order.\nAnswer: 3, -190, -14176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1129 + 2835. Is l at most 1704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 8*l + 8. Let y be m(-8). Let d = 31 - 21. Suppose -y*o + 10*o = d. Which is the third biggest value? (a) -0.2 (b) o (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 3*q**2 + q. Let f be t(-2). Differentiate f*b - b - 1 - 7*b with respect to b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2657818848 to the nearest integer?\nAnswer: 1385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -1442 (c) -1 (d) -2\/7 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a*b**3*d*p - 5*a*b**3*p - 3*a*b**2 - a*b + a*d**2 + 4*b**3*d**2 + 5*b**2*d**2*p wrt b?\nAnswer: 18*a*d*p - 30*a*p + 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmkxnnklm. Give prob of sequence lkmm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 90560.\nAnswer: 90559.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-280)\/(-42))\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114 - -116. Suppose g*k - 6*k = -96. What is the remainder when k is divided by (0 - (-27)\/12)*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 889868480392701 - 889868894643463.9999997. Let f = l + 414250792. Let i = -29 + f. What is i rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -1. Let l be 6\/(-9) + z - 0. Which is the nearest to -1? (a) l (b) 0.1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 5:16 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 7. Suppose j*g - 392 = -24. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7361 is divided by 736.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10\/55 - 2887444\/308*1*-1.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 42*r**2 + 136*r + 55. Let g be o(-45). Suppose 2*w - 5*w = -723. Let j = -131 + w. Calculate the highest common divisor of j and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 21*q**2 - 7*q - 4. Let h be s(4). Suppose 70*r - 74*r + h = 0. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.97 + -0.03. Let t = 1.02 + -1. Let c = 0.08 + t. Sort -5, s, c.\nAnswer: -5, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -2d3ac?\nAnswer: 2d3b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 9*d**2 + 58*d. Calculate the smallest common multiple of 12 and x(2).\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 138 and 16284.\nAnswer: 16284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 f when four letters picked without replacement from mmcccmcmfmmcm?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - p**2 + (0*p + p - 3*p)*(-4*p + 4*p - 2*p) - 2 + p**2 + 2 + (2*p + p - 5*p)*(-2*p - 4 + 4)*(45 - 24 + 23).\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -5.\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 859095272 divided by -106166.\nAnswer: -8092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3046 = 219*d + 5*f, -129*d + 265*d - 135*d - 5*f + 34 = 0 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -260 + 260. Let j be ((-6)\/(-26))\/(102\/68). What is the nearest to x in -0.5, j, 2\/11, -1.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 218568 + 4?\nAnswer: 218570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 41 = -w, 4*w - 4*i = 57 + 83. Suppose -w*v + 27 = -24*v. Sort -5, v, -2, -3 in decreasing order.\nAnswer: v, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 342 in 5, -1, 2\/7, -2\/11, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a = 6*a - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -93, -78, -39, 36, 159, 342?\n\"Answer: 2*w**3 + w - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/20*120\/108. Let u = -3 + 3.1. What is the closest to 1 in -2, l, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = i - 3*i - 5935, 4*i = 4*g - 11900. What is i rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 7. Suppose s - 18 = 4*s. Let v be (-1 + 1)*3\/s. Determine l(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - 7. Let x be q(-5). Let p(w) = w**2 - 7*w. Let a be p(-8). Suppose 0 = 2*r + x*r - a. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56628 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 1782 = q - 897 - 894, 5*l + 6*q - 89 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*v - 14*v - 1368. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8155 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -11042100402?\nAnswer: -11042100410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -422\/25, -3, 0, 77 in decreasing order.\nAnswer: 77, 0, -3, -422\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-4) - 51\/(-12). Let f be (-2 - 0)*-2*3. Let z(g) = g + 1 - f*g + 12*g. What is z(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + n**2 + n - 25. Let h be p(0). Suppose 2 = 2*v + 5*w + 4, 3*v - 4*w - 43 = 0. What is the smallest common multiple of v and h\/(-3) - 2\/6?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*k - 5 = -153*k. Suppose 0 = k*v - 3*v - 10. Determine y, given that 6*y - 4 - y**2 - y**2 + 5*y**2 - v*y**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 3. Let z(k) = 7*k**3 - 3*k**2 + 3*k - 4. Let y(l) = -6*l**3 + 4*l**2 - 4*l + 5. Let u(c) = p*z(c) + 3*y(c). Find the first derivative of u(w) wrt w.\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((5 + -6*sqrt(300)\/sqrt(6)*-1)*-3 + -3).\nAnswer: 54 + 270*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -75*h + 13. Let c(b) = -149*b + 28. Determine 3*c(q) - 5*p(q).\nAnswer: -72*q + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = o + 4*s, -3*o - s + 0*s = -8. Suppose 2 - 12 = -5*b. Suppose -b*r = -5*v - 41, 3*r = -v + 21 - o. Calculate the remainder when 23 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 43, 5, -6 in decreasing order.\nAnswer: 43, 5, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t**2 + 85*t + 16. What is c(-17)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 7:18 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3 + 0*l - l - 5 - 4. Let w be p(-9). Suppose g = -w*g + 40. What is the highest common factor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*c**4 + 182305*c**3\/2 - 1752210*c**2 + 16330005*c\/2 - 761805 = 0.\nAnswer: -1881\/8, 2\/21, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 61, 9, -73, -191?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**4 + 12*d**3 - 48*d + 48 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -782 - -1195. What are the prime factors of m?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 5)*(75*n**3 - 48 + 48)*(2*n - 4*n + 0*n)*(-3*n - 3 + 3).\nAnswer: -1350*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + g + 0*g - 18 = -g - 2*g + 2, -3*t - 78*g + 324 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9151 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 2 = 61. Suppose 0 = -3*p - 2*n + 35, 3*p + 52 = z*p + 4*n. Solve -a = -4*r - 10, 4*r = -a - p - 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 34 = 34476*d - 34479*d, 2*s - 58 = -d for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*s - 5*s + 10 = 0, 2 = y - 5*s. Let d = -28 - -46. Suppose -d = 2*q - 5*q. Solve -3*z + j - 1 = 0, -y*z = -0*z - 2*j - q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -6) + (20 - (-47 + 62))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23\/62 - 4\/31. Sort c, -4, -0.4, 3.\nAnswer: -4, c, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.03609 and 0.5.\nAnswer: 0.46391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1 (b) 3\/5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4)\/(c\/(c*c*c**(25\/2)*c)*c*c) assuming c is positive.\nAnswer: c**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -31141, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4) + (-1 - 42\/(-36)). What is the nearest to c in 0.1, 57, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-9650.\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2874 = -4*w - 50. Suppose 0 = 5*o + 539 + w. Let q = o + 445. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*y**3 - y**4 - 6*y + y**5 + 9*y**2 + 4*y**2 + 13*y**3.\nAnswer: y*(y - 2)*(y - 1)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1597*f**2 - 14*f - 14. Let b(j) = -2768398*j**2 + 24270*j + 24270. Let x(z) = 7*b(z) + 12135*s(z). Let q(y) = -4*y. What is q(x(l))?\nAnswer: -3236*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(84) + (sqrt(84) - (-1*sqrt(84) - sqrt(84)))*-5 + sqrt(84)))\/(sqrt(72)\/(sqrt(216)*2)))**2.\nAnswer: 4258800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {x: 3, g: 5, n: 8}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4330066313 to the power of 1\/3, to the nearest integer?\nAnswer: 1630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 k, and 1 s when four letters picked without replacement from {s: 1, k: 3, m: 3, n: 1, y: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p*(p*p**0)\/p))\/(p**(1\/10)\/p)*((p*p**(2\/5))\/p)**(-13)*(p*p\/(p\/((p*p**(-2)*p)\/p))*p)**(-2\/11)\/(p**4*p*p*p\/p**3*p) assuming p is positive.\nAnswer: p**(-1043\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -959 + 981. What is the remainder when s is divided by 31\/2 + (-3)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 12 (b) 0.4 (c) 4\/3 (d) 0.6 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(3\/17)*m**3*m*(m*m**(-5))**(2\/43) assuming m is positive.\nAnswer: m**(2917\/731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1625093 is divided by 947?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**6\/60 + 7*q**5\/6 + 32*q**4\/3 + 124*q**3\/3 + 614*q**2. Factor y(u).\nAnswer: 2*(u + 2)**2*(u + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmm. What is prob of sequence mmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*d**5*x + 61*d**3*x**2 - 7*d*x**2 + 26*d*x - 2*d - 2*x wrt d?\nAnswer: -500*d**3*x + 366*d*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.94 - -0.06. Let s = 53 + -28. Let k = s + -27. Which is the closest to k? (a) -1 (b) i (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -282, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -89, 2, 1, -14, -4 in descending order.\nAnswer: 2, 1, -3, -4, -5, -14, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 13 - 34 + 11 - 12*t**2.\nAnswer: -12*t**2 - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 322541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.037 + 5?\nAnswer: 4.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 18*h**2 - 12*h - 13. Let s be c(12). Differentiate 707*i**2 + 44*i**4 - s*i**2 - 41 with respect to i.\nAnswer: 176*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 0. Suppose 3*i - 5*r - 19 = -0*i, -b*i + 69 = r. Is 2\/2 - -6*i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 4*d + 426 = 225 + 219, 2*x - 4*d = 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24127?\nAnswer: 23, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 54\/81 - 10\/18. Let f = -0.28 - -0.48. Let b = -11.2 + f. What is the third biggest value in b, 1\/4, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (0 - -4 - (-14 + 13))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.789732 weeks in minutes?\nAnswer: 18040.49856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 - 10*p + 10. Let u be m(-6). Let b be (-6)\/18*(u\/6 + 1). What is the closest to b in -2, 1\/9, -3\/2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (856\/(-4708))\/(8\/(-176))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4, -9, -16, -25, -36, -49?\n\"Answer: -c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 4 - 9)*(-1 + 2 + 1) - 1 + 1 - 4)*(-2*w**3 - w + w).\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 + 171 = -7*t. Let p = 50 + t. Solve 3*d + p = 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -106*j + 21698 + 456. Let f(q) = -23*q + 9. Let r be f(-9). Let b(u) = -j - r + 7*u + 425. Let a(d) = -7*d**2. What is a(b(h))?\nAnswer: -343*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-8)\/(-12) + -2. Let q be (8\/138)\/(2\/(-3)). What is the closest to -1 in n, -2\/9, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 21 + 59)*(-2 - 1 + 5)*(-x**5 + 2*x**4 - 2*x**4).\nAnswer: -106*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25806 and 72864.\nAnswer: 1238688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*r**2 - 6931*r + 3*r**3 + 7015*r + 4*r**3 - 5*r**3 as u*r**3 + k*r**2 + g*r + n and give g.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-8*q - 14*q - 112 + 109).\nAnswer: 22*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (12\/(-5))\/((-5)\/((-475)\/(-2))).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-577)\/2)\/(5\/4). Let y = 230 + p. Let l = -298\/9 + 233\/18. Find the common denominator of y and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.3769059 years?\nAnswer: 0.003769059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 7*m + 4. What is the lowest common multiple of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60384)\/(-11968) + -4*((-5)\/4)\/(-1).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-4)*68\/17. Let t(u) = u**3 + 9*u**2 - 12*u - 23. Let a be t(g). Let p be 2\/(-4)*(-3 - a). Solve -h + 0*h = p for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6094529 (base 10) to base 8\nAnswer: -27177301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -28. What is the smallest value in 2, a, -1\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-25)\/45)\/((8 - 3)*(-1)\/3). Let r(a) be the first derivative of -2*a + p*a**3 - 28 + 1\/2*a**2. Factor r(z).\nAnswer: (z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40964639 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0287 + -282.0287. Let w = n - -282.00397. Round w to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 16 = 10*o. Suppose -o*k = -628 - 92. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**1*a*a)*a**(2\/5))\/((a*a**(-2\/29))\/a**(-3))*(a\/(a*a**(4\/7))*(a\/(a\/(a*a**4\/a)*a*a))\/a)**3 assuming a is positive.\nAnswer: a**(-4309\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-4 - (-3 + 3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8415571 and 7358.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 2*m**2 - 4*m - 4. Let z(y) = 3*y**2 + y - 2. Let g be z(-2). Let j = g + -4. Suppose -j + 1 = u. Calculate v(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**2\/2 + 1. Let q be d(-3). Suppose 79 = q*s - 17. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 38*a - 13*a + 9*a + 36*a to the form j*a + d and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 15, b: 4}. What is prob of picking 2 e?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -31. Let s(p) = 4*p - 4. Let d be s(c). Calculate the highest common divisor of d and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13810063*v*z**2 - 89111646*v*z - 4*z**2 wrt z?\nAnswer: 27620126*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0*t)\/t)**(3\/16)\/(t**1)**24 assuming t is positive.\nAnswer: t**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25298613.\nAnswer: 3, 2810957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 2*a + 4. Let b(q) = -23*q + 13. Let w be b(-1). Let z be -4 + w\/20 + 1. Which is greater: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 288521 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -7*i - 25. Calculate the remainder when (-1)\/i + (-319)\/(-55) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 - 8*u**2 - u + 21. Let j be q(-3). Solve -30 + 42 = j*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 119317, 2, -3, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331 - 1004 = -15*d. Let s = d + 8. Which is bigger: 98 or s?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 2\/7, 0.1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 366619477 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 7643236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + 2 + ((-2*(3*sqrt(143) - sqrt(143)))\/(sqrt(1100)*-3 + sqrt(11)))**2)*2.\nAnswer: 10508\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50303307*j**2 + 20196500*j?\nAnswer: -100606614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r. Let o(p) = 6*p + 16. Calculate -o(c) + 4*q(c).\nAnswer: -2*c - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**3 - 1692*z**2 + 167840*z - 2150400 = 0 for z.\nAnswer: 15, 128, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -14*k - 12. Let g be p(-12). Suppose 4*b + 14 + 6 = 0, -20 = 4*a + 4*b. Suppose a*t - 5*q - 154 = -t, g = t - 3*q. List the prime factors of t.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13610123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8862 + 4466 + 556*y**2 + 4396.\nAnswer: 556*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 21*i**2 + 40*i + 36. Let y be v(-19). Let k be (-2 - 6)\/(y\/5). Let n(u) = -u**3 + 21*u**2 - 12*u + 23. What is the units digit of n(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*q - 10, 5*q - 9*q = 2*s - 4. Solve -i - 3*f - 14 = -0, q = 4*f + 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 236982*x**4 - 252028?\nAnswer: 947928*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 73*h**2 + 2090*h + 13. Calculate v(95).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2653766273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -1736*w + 2. List the prime factors of n(-1).\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -416.551257792 - 0.\nAnswer: -416.551257792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 30*h**3. Let n(b) = -b**3. Calculate g(p) + 60*n(p).\nAnswer: -30*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 2*p**2 + 2*p - 5. What is a(-4)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15865 is divided by 7926?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - (7 + -10))*(-1 - 0). Let r(v) = -v**2 + v + 1. Let n(m) = -10*m**2 + 9*m + 9. What is x*n(h) - 18*r(h)?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u**2 + 3. Let f = -77 + 151. Suppose 3*v = 5*n - 121, -15*v + 17*v = 2*n - f. Let t(a) = -76*a**2 - 32. Determine v*b(j) - 3*t(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77872 and 76616?\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3636?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2580913 a multiple of 1230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123079411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 1121 in decreasing order.\nAnswer: 1121, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 10:01 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)*f\/(f**(-6\/7)*f))\/(f\/(f\/((f*f*f*f*((f**(2\/5)\/f)\/f)\/f)\/f)))**(-1\/30) assuming f is positive.\nAnswer: f**(-1643\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 34*q**2 + 22*q - 112. Let m be d(34). Suppose -287*l - m = -293*l. What is the remainder when l is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygy. Give prob of picking 1 g and 1 y.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 185 - 13*q**3 - 3*q**2 + 2*q**2 - 185 wrt q?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**2 - 152673*j + 152670 = 0. What is j?\nAnswer: 1, 50890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 0, 4*q = -4*g - 2 + 18. Suppose q*l - 457 = -3*k, k - 308 = -k - 2*l. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18227\/8 - 2274. Calculate the common denominator of 38226\/160356 - (1 - (-2)\/((-28)\/18)) and l.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 159263 > 159271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 999642 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n - 4. Let u be b(-2). What is the tens digit of u\/(-30) - 9320\/(-150)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -4.259743.\nAnswer: -17.038972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 7 - (-6 - (2 + (-10 - -5)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3758410 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-45)\/6)*(-15)\/48\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 7848?\nAnswer: -1\/981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67042422 to the nearest integer?\nAnswer: 8188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -5 (b) 8\/5 (c) -0.3 (d) 8\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(17))*-4.\nAnswer: 16 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 2555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 + 9*p + 160. Calculate c(12).\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3*m*q**2 - 5*f**3 + f**2*q**2 - 2*f*m*q**2 + 4*f*m*q - 3*m*q**2 + 3*m wrt f?\nAnswer: -12*f*m*q**2 - 30*f + 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10343 - -22?\nAnswer: -10321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -233001103201 (base 4) to base 8\nAnswer: -57012341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -124 + 300. Let o = -30 + v. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2 - 873052*i + 95277474338 = 0.\nAnswer: 218263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 218583047 + 3?\nAnswer: 218583051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.1 - 2.8. Does m = 1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 48078.\nAnswer: -1\/48078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*d + 15, 5*y - d + 40 = 9. Suppose 2*k - 14 = -2*p, 0 = 2*p - k + 14 - 43. Let h = y + p. Solve -h*w + 2*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/15 - -1)\/(-1)*25\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -23*k + 228. Let y be w(8). What is the highest common factor of 6 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-3))\/((-4)\/(-6)). Suppose 2*m - z*w - 11 + 3 = 0, 2*m + 2*w - 8 = 0. What is the derivative of 0*x**4 + 1 - 4*x**4 + 3*x**m wrt x?\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 971 - 50. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4443053 to the nearest integer?\nAnswer: 2108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*u + 744 = -l, -3*l + 3*u + 2241 = 0. Suppose l = -11*t + 6*t. Let n be (-170)\/t - -2*2\/(-4). Is -1 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221 (base 3) in base 13?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3032220676 from -9.3.\nAnswer: -3032220685.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 340340866, 680681731, 1021022596?\n\"Answer: 340340865*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 28*x**4 + x - 1. Let v(n) = 1. Let q(t) = m(t) + v(t). Find the second derivative of q(z) wrt z.\nAnswer: 336*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345991 is divided by 5879.\nAnswer: 5009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17.3, 7, 0.3, -39576 in decreasing order.\nAnswer: 17.3, 7, 0.3, -39576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.098 minus 0.0842?\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.736 + 0.767. Which is bigger: l or -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - a**2 + 2*a - 4. Let j be n(2). Suppose -s + 2*l = 7*l - 19, -j*s + 3*l = -7. What are the prime factors of 15\/((-270)\/(-4468)) - s\/18?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(84)*2)\/sqrt(12))**2*-3 - ((sqrt(7) + sqrt(567)*2 - sqrt(1008)*2) + -5).\nAnswer: -82 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 43525944 divided by 8316\nAnswer: 5234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 181*f**3 + 2*f**2 + 5*f - 5388. Let t(i) = i**3 - i**2 - 3*i + 1. Let c(k) = -o(k) - 2*t(k). Find the first derivative of c(n) wrt n.\nAnswer: -549*n**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 281870.5t to grams.\nAnswer: 281870500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1*-6*(-7)\/126?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**4 - k**2 + k**2 + 2 + (698*k**3 + 709*k**3 - 1253*k**3)*(-3*k + 5*k - 3*k) to the form j + a*k**3 + c*k**4 + x*k + g*k**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16809 divided by 1293?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3154 * 3.\nAnswer: 9462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3393 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1615287297.\nAnswer: 3, 13, 461, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence goao when four letters picked without replacement from goaga?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 40*m**2 + 2*m - 2. Let o be h(1). Is 44 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18931114 divided by 5\nAnswer: -18931114\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2983 - -5229. Let f = g + -837. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 646 (base 11) to base 16\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**2 + 6*b - 5. Let z be w(-7). Calculate the highest common factor of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 4:18 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 308 - 278. Let q be (-4)\/72*2*o\/(-95). What is the smallest value in 0.2, q, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -21375, 1, 4 in ascending order.\nAnswer: -21375, -3, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 + 57*k - 8. Calculate p(27).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2035 + 20373\/10. What is the common denominator of 65\/18 and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9349 - 8893. Does 24 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*o*y**4 - 25*o*y**3 - 81*o*y + o - 5*y wrt y?\nAnswer: 72*o*y**2 - 150*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 17. Let n(g) = -g**3 + 8*g**2 + 9*g + 8. List the prime factors of n(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -26*s + 35\/2*s**4 + s**2 + 0*s**3 - 17. What is the second derivative of d(q) wrt q?\nAnswer: 420*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 1. Let m(u) = -3*u - 32. Calculate the lowest common multiple of m(-12) and p(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 11) to base 13.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -27 - 3. Is (0 - 1)\/(p\/(-5898)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**4 + 73*k**3 - 5*k**2 - 158914*k.\nAnswer: -12*k**2 + 438*k - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*s - 13*s - 251*s**2 + 246*s**2 - 27*s.\nAnswer: -5*s**2 - 219*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 i when three letters picked without replacement from {i: 2, q: 6, p: 7}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 23*w**2 + 5*w - 147. Determine u(-5).\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6146.685nm?\nAnswer: 0.000000006146685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/25*(-1030)\/618?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 13*y**2\/2 + 5*y - 38. What is the remainder when o(3) is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.13859 * -4\nAnswer: -24.55436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 27*o**2 - 92*o + 35. Calculate c(2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2112)\/792)\/((-20)\/15)*(-2)\/((-4)\/(-86))\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 4 = -2*f, -4*s = 6*f - 3*f - 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2413 + -1537. Let d = -873 + x. Which is the closest to 11? (a) -2\/17 (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 975*a**2 + 4*a - 21395 wrt a.\nAnswer: 1950*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4292\/23485 + -2\/2135. Determine y so that 6\/11*y**3 + j*y**4 - 30\/11*y + 36\/11 - 14\/11*y**2 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -209 + 435. Let d = v + -136. What is the remainder when d is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4*h - 36, -5*h = -3*f + 17 - 139. Which is greater: f or -302\/7?\nAnswer: -302\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**3\/2 - g. Let j(z) = -1546 + 3*z**2 - z**2 + 1546. Give r(j(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, t: 2, z: 8}. Give prob of picking 1 z, 1 t, and 1 i.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k + 3*k - k + 4. Let y be (-1)\/4 + (2 - 6\/(-24)). Suppose 0 = l + 1, 3 = -y*x - l + 4. Let a(c) = 1. Calculate x*d(o) - 5*a(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 285)*51\/85. Let i be 3 - 2*-8 - 0. What is the highest common factor of i and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*q + (1 - 1 + 1)*(2*q - 2*q - q) + 3*q + 10*q + 0*q.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*t**2 - 2 + 0 + 4.\nAnswer: -92*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.303697 micrometers to nanometers.\nAnswer: 1303.697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -1303 (c) 13 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**2 - 18*m + 3. Let p(y) = -y. Determine -o(w) + 15*p(w).\nAnswer: 3*w**2 + 3*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 10*v**2 - 24*v + 3. Let n be t(-12). Solve 8 = n*k - 7*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 132\/7 + -465\/28. Find the common denominator of g and 14\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4230 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -17 (b) -0.25 (c) -29.8 (d) -3\/5 (e) 2 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2212 + -102211?\nAnswer: -112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -644659, -644628, -644607, -644602, -644619, -644664, -644743?\nAnswer: -644862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 5:18 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vc when two letters picked without replacement from llcmxdv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18743231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*b - 5*b. Suppose 3*h - 28 - 19 = -4*m, -b*m = 2*h - 42. Calculate the highest common divisor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(112) + sqrt(7) + sqrt(7) + sqrt(1029)\/sqrt(3))**2.\nAnswer: 78*sqrt(7) + 1192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4)\/(15\/(-210)). Solve 9 = d*j - 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 3 - 7*k**2 - k + 8. Let a(h) = 4*h**2 - 3. Let i(s) = 2*s + 3. Let r be i(-4). Let n(m) = r*a(m) - 3*w(m). Let q(z) = -2*z**2. Give n(q(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4650767 divided by -7\nAnswer: 4650767\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 7 - (-13 + 0 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 1004*a - 63. Let o(i) = -i - 21. Calculate -3*o(t) + z(t).\nAnswer: -t**2 - 1001*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27 - -1*-1*(4 - 2). Suppose 3*c = 5 + l. Factor c*d + 9*d - 28*d**3 - 32*d**2 - 3*d + 20*d**4.\nAnswer: 4*d*(d - 2)*(d + 1)*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 3*m - 1. Let i be h(-3). Let q be (i + 3\/(-6))*2. Let z(k) = 6*k - 6. Let w(b) = 11*b - 11. Let o(x) = -3*w(x) + 5*z(x). Determine o(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48935 - -48943. Let l = 3.1 - 3. Which is the smallest value? (a) l (b) p (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 - 4*x**2 - 2*x**2 + 7*x**2 + x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113300110 + 10?\nAnswer: -113300100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*c = 88*c - 146. Let l = 99 + c. Suppose 18*p + l = 23*p. Calculate the remainder when 146 is divided by p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1565, 1904, -2, -1 in ascending order.\nAnswer: -1565, -2, -1, 1, 1904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -3424047?\nAnswer: -3424054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3761204 - 1283096. Round x to the nearest one hundred thousand.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekkekkkkk. What is prob of sequence ke?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/3, -2555 in increasing order.\nAnswer: -2555, 0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j - 13. Let r be b(6). Let p be (24\/r)\/((-2)\/10). Let i = p - -43. Calculate the remainder when i is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.09 (b) -14\/13 (c) 7 (d) 4\/209 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**2\/4 + 97140*v + 11083707 = 0.\nAnswer: -114, 129634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10098731.\nAnswer: 17, 503, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*j - 14 = 0, 4*q + 3 = 3*j - 1. Suppose b - 5*w = 14, -w + 4 = b + 2. Suppose -21 = -q*i + i - z, 4*z = b. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 3*x - 22 = 2*d, 0 = -5*d - 2*x - 18 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 4*p + 2. Let z be ((-4)\/(-3))\/((-1)\/(-3)). List the prime factors of b(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8526774 to the nearest integer?\nAnswer: 2920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h - 131840028 = -4*a, 4*a - 131840000 = 5*h. Suppose -7*v + a = -5*v - z, 2*v - 3*z - 32960015 = 0. Round v to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (2 + -3 - 2) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**6\/36 + y**5\/45 + y**4\/180 + 2*y**2. Let f(u) = 0. Calculate u.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -53*b**7\/6 - 449*b**4\/12 - 175*b. Find the third derivative of d(o) wrt o.\nAnswer: -22260*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 19 = 4*w, 9 + 1 = 4*x - 2*w. Suppose 5*s = 3*g - 275, -x = -s + 4*s. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*u**3 + 26*u**6 + 8*u**2 - 3*u**3 + 8*u**6 wrt u?\nAnswer: 4080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 + 14*l**3 - 8*l**3 + 50.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5628*g = 4874*g - 366549 - 431603 for g.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -14. Suppose 0 = -2*z - o - 10, -3*z - 2*o - 11 = -u*z. Let w = z + -2. Are -3 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 1.5075095\nAnswer: 1.4075095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6489*g - 112 = 6475*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 347 + 35 = 0. What is the greatest common factor of p and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = c + 4*c. Calculate the remainder when c\/3*(7 - -26) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 1 + 7. Let o be 1\/(d + 2 + -3). Let j be (o*(-4)\/10)\/1. Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from afmggffmggmmm.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 157*t**2 + 1\/10*t**5 - 1\/6*t**3 + 0*t + 0 - 1\/12*t**4. What is j(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -7. Suppose -4*u + a = -a - 24, 3*u - n*a = 20. What is the third biggest value in u, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4\/7, 1229 in ascending order.\nAnswer: -4\/7, 0, 1229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + n. Let f(d) be the second derivative of 5*d**4\/12 + d**3 - 3*d. Determine f(j) - 6*h(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (22 - (71 - 17))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35463191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/5 (b) 5 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -87.3 + 88. Let u = c - 0.700138. Round u to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d = -3*j + 195, -j + 3 + 49 = -4*d + 2*j for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34161740 divided by 6832348.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 44 = 4*y + u, -44 = -4*y + 4*u. Suppose b - 2 = -4. Let r be b\/(-4) - 11\/(-2). Solve -o = -4*v - y, r*v + 13 = v + o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 17 = -5*k, -7*k + 37 = -3*a - 12*k. Let p(o) = -3*o + 1. Let h be p(a). What is the highest common factor of 104 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*a**2 - 3*a**2 - 70*a**3 - 13 + 13 wrt a.\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 171 and 64539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 + 75. Suppose 3*t - 2753 = -0*h - o*h, 0 = -3*t - 9. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 317.359 to the nearest integer.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 6\/3 + (-805)\/1265.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**2 + 3*o**2 + o**2)*(1775*o**2 - 23147 + 16783 - 3544*o**2 + 1770*o**2 - 31101) as z + s*o**3 + v*o**4 + m*o + f*o**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) -4 (b) -40 (c) -0.03 (d) -5 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351 - 346 - (-8 - 9).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/11)\/j*j**(-5\/8)\/j assuming j is positive.\nAnswer: j**(-215\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 12:55 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000034556 rounded to 6 decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3864185907 to the nearest integer?\nAnswer: 62163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 10*q**2 - 6. Let l be 12 + (0 - -3 - 8). What are the prime factors of p(l)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 160 - 158. Let s be (-2 - 0\/m)*(-105)\/42. Solve -4*q - q = -4*l - 5, -25 = -s*l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -4, 539, -22 in increasing order.\nAnswer: -29, -22, -4, 539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*l - 5*k = -127*l - 16, 4*k = 3*l + 11. Factor -9\/4*r**2 - l*r - 1.\nAnswer: -(3*r + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 171 = 2*t, -101 = -3*n - 20*t + 22*t. Suppose 3*g = -n + 71. Solve -4*h - g = -4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/49)\/(((-1)\/(-14))\/(2\/(-248)))?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**3\/4 + 14*h**2 - 261*h + 1620 = 0.\nAnswer: 18, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 (base 6) in base 9?\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p - 3*p + 5*p - 90*p.\nAnswer: -74*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3\/2 + 93271247*y**2 - 373084985*y\/2 + 93271246 = 0. Calculate y.\nAnswer: 1, 186542492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + q**3 + 3*q**3)*(q + 2 - 2) - 11*q**4 + 10*q**4 - 8*q**4.\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3)*3\/29. Let y = i - 25\/58. Which is the closest to y? (a) -3 (b) 0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 352\/48 - (-28)\/(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 7*n**2. Let r be v(-7). Let i = 30 + r. Let d(t) = -t**3 + 7*t**2 - 11*t + 8. What is the remainder when i is divided by d(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aoa when three letters picked without replacement from {o: 15, a: 3}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2150583.\nAnswer: 3, 716861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1777?\nAnswer: 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.104 - 2.2. Let q = -26.396 - z. Let k = q + 26. Which is the closest to -1\/2? (a) 1 (b) k (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -27*d**2 - 60*d - 13. Let m be c(-2). Let l = -29.018 + 0.018. What is the closest to m in l, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5666380?\nAnswer: 2, 5, 449, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 11, 0.2, -3\/7, 0.309, 3?\nAnswer: 0.309","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 22 - 182. Suppose -3*j = 8 - z. What is the least common multiple of j and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 - 28*r + 64.\nAnswer: -2*(r - 2)*(r + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -371 = -1176*n + 1169*n. What is the remainder when 262 is divided by n?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -2. Let a be 8\/(-12)*1*k. Sort -4, -5, a.\nAnswer: -5, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 1\/3 (c) -718\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**3 + 0*v**3 + 2*v**3 - v - v**3 + 6*v**2 - 6*v**2 + (2 - 2 - 2*v)*(-v**2 + 0*v**2 + 0*v**2).\nAnswer: 3*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 470 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22617*p + 6261?\nAnswer: -22617","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*c - 6. Let g = 7 - 32. Let d = g - -37. What is the lowest common multiple of c and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51851392 is divided by 169.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/31784 and -1\/75487.\nAnswer: 603896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -6. Let h(k) = k**2 - 2*k - 10. Let l be h(-4). Calculate the highest common divisor of l and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**5 + 18*m**4 + 36*m**3 + 30*m**2 + 9*m = 0. Calculate m.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 1:51 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -120225*y**5*z**3 + 7*y**2*z - 815*z**3 wrt y.\nAnswer: -7213500*y**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*4\/4*(-20)\/16. Suppose -5*a = n, -a - 935 = -5*b + 4*a. Is b < 185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/38*(-481)\/8658.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 9*u - 9. Suppose 1591 - 1636 = -5*g. Determine i(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -303 - -742. Let k = u + -276. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 635615.\nAnswer: 5, 127123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -21 - -19 - (1 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201202 (base 3) to base 2.\nAnswer: 10011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 592384*y - 20141065. Calculate i(34).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from {s: 1, v: 3, d: 2, l: 3, r: 6}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 281949302 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 the third root of 749761 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -111*p**2 - 9. Let h(t) = -10*t**2 + t. Let q(b) = f(b) + 2*h(b). Find the second derivative of q(v) wrt v.\nAnswer: -262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.3, -74\/17, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**2 + 11*o**2 + 3*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 15 = -q. Let l be (2 - 3)*-2 + 0. Suppose -u + l*u = 6. Is u <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 643670 and 441470.\nAnswer: 3370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 66 = -15*a, 5053*n + a - 4 = 5049*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 77, 3, -3 in descending order.\nAnswer: 77, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.7, -554223, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 24*n. Let f(s) = 4158*s. Calculate f(d(i)).\nAnswer: 4158*i**2 + 99792*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -45\/4*x**2 - 53 - 5\/6*x**3 + 25*x. Solve k(q) = 0 for q.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/797319771 and 29\/3.\nAnswer: 797319771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 9 = -0*b + b, 124023 = 5*b - 2*z + 124020 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2*y - 3)*(5*y - 46*y - 71*y)*(4 - 4 + 5) in the form t + u*y + l*y**2 and give l.\nAnswer: 1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/9)\/r*r\/(r\/r**(1\/3)))**(-49)\/((r\/r**(-3))\/r**(-4\/3)*r**(2\/17)\/(r*r\/r**(3\/5))) assuming r is positive.\nAnswer: r**(26056\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**13\/(u\/(u**(-11\/3)\/u)) assuming u is positive.\nAnswer: u**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 76\/19 + (-4)\/(-2). Suppose 46 = v*h - 26. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**8\/2688 + q**6\/320 + q**5\/240 + 30*q**2 - 27*q + 1. Let u(o) be the first derivative of y(o). Let u(r) = 0. What is r?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*k = 270, 181*y + 2*k = 182*y - 96. What is the remainder when 372 is divided by y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 17, x: 3}. What is prob of sequence xccc?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-7*12\/(-168)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 5:41 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -g - 7. Is 14*7 + g\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 132070 - 15?\nAnswer: 132054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/3, 4, 0.1, 922, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 6:48 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from cyayy?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 378 and (8\/(-8))\/(4*(-9)\/3312)?\nAnswer: 17388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 52, 111, 198?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 251 and -0.4.\nAnswer: -100.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -293, -583, -873, -1163, -1453?\nAnswer: -1743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -17672.2.\nAnswer: 7068.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 114403 + -501010?\nAnswer: -342203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37237, -37214, -37153, -37036, -36845, -36562, -36169?\nAnswer: -35648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*v - 5. Suppose 0 = -v*g - 0*g + 15. Solve -i = -0*i - g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjyrrrrxwrrrrror. What is prob of picking 3 r and 1 x?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(68) + sqrt(68) + sqrt(68) + (sqrt(68) - sqrt(68)*3)*6)*1)\/(-1*((sqrt(240)\/sqrt(6))\/sqrt(10) - -1*sqrt(4)*-4)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 10 + 1)*(0*s**2 + 0*s**2 + 5*s**3) + 2 - 2 + 2*s**3 + 5*s + 91 + 14*s**3 - 88 - 11*s**3 to the form z*s + p*s**2 + o + y*s**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6700482 and -71976.\nAnswer: 6628506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83455 is divided by 20857.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 9*l. Let b = -5 + 7. List the prime factors of y(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -370*s - 66. Let j be c(-16). Is ((-19)\/38)\/((-1)\/j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77 and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -116612557.1 + 0.0369322\nAnswer: -116612557.0630678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 7*c = -2*c - 41, 3*t + 3*c = 111. Let j(x) = -t*x - 35*x - 35*x + 103*x. Let i(f) = -14*f - 1. Determine j(i(p)).\nAnswer: 42*p + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, x: 2, u: 2, m: 1, f: 1, s: 2}. Give prob of sequence fu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8047?\nAnswer: 13, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9088 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*u**4 - u**4 + 12*u**4 + 0*u + 0*u - 2*u**4 + (-6 - 2*u + 6)*(5*u**3 + 0*u**3 + u**3) - 2*u**4 + 5*u**4 + 0*u**4.\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 10:34 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1312*a*g**3 - 15*g**3 - 7*g**2 with respect to a.\nAnswer: -1312*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*h + 227*h = -80 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 315*i**2 + 41*i**2 - 2*i.\nAnswer: -274*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149942061?\nAnswer: 3, 16660229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 304125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6*f - 6 = 0. Let g be 171\/21 - (-1)\/(-7). Differentiate 11*i**f - 3*i**2 - 5 - g*i**2 - 7*i**4 wrt i.\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457937?\nAnswer: 97, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -404 - -2473\/6. Let p = 15\/2 - t. Which is the third biggest value? (a) -0.4 (b) p (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 3*z. Suppose -6 = -q - 2*q. Let c be 4*3\/(-6)*q. Let h be u(c). What is the closest to -2\/3 in 1\/5, h, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 60. Give r(0).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 335*p**8\/336 - 5*p**4\/8 - 17*p**3\/6 - 585*p**2. What is the second derivative of g(i) wrt i?\nAnswer: 6700*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5 + 0*c**2 + 3*c**2 + 2*c**2 - 2*c - 3*c**2. Let t be y(4). What is the highest common factor of 57 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 21 + 141 = 0. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 311.413269 to one dp.\nAnswer: 311.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 112851676 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.06, -4, -1, 3, 3299?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.03 (b) -2\/3 (c) -3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1680 is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f - 1422 - 2582 = 0. Let h = 2279\/8 + f. What is the common denominator of h and -31\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*s + 3)*(-3 - 2*s + 3 + (-2 + 0 + 6)*(-s + 3*s - s)) to v*s**2 + o*s + x and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 74. Let t(j) = -2620 - 2609 - 2*j - 2669 + 8009. Give -8*c(n) + 5*t(n).\nAnswer: -2*n - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2426, 2, -3\/8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 9*i - 11. What is the units digit of x(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -219 + -103296.\nAnswer: -103515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1541, 2, 3 in increasing order.\nAnswer: -1541, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 988850762?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - a. Let y(x) = -x**2 + 33*x - 33. Let c be y(32). Let i(p) = 4*p**3 - 60*p**2 + 80*p. Let v(r) = c*i(r) + 20*d(r). Factor v(q).\nAnswer: -4*q*(q - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1362 and 52537 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 32*q**2 + 444*q - 56. Let y be p(-14). Solve -4*c + 5*z + 33 = 0, 0 = -5*c - y*z + 4*z + 30 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8 + 0*d**2 - 2*d**2)*(2*d**2 + 4*d**2 - 4*d**2).\nAnswer: -4*d**4 + 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 53.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/7 of a week in days?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 15, 38, 71, 114?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6435 - 13437 = -368*m for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v**4 + 0*v**4 + v**4 + (396*v - 126*v + 288*v)*(6*v**3 + 0*v**3 - 4*v**3).\nAnswer: 1111*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5122764?\nAnswer: 2, 3, 97, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 0*w**3 + 0*w**4 + w**2 + 0 + 5\/1344*w**8 + 3\/40*w**5 - 1\/30*w**7 + 0*w + 11\/160*w**6. Let y(a) = 0. Calculate a.\nAnswer: -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 - 31. Let l = j - 25. Which is bigger: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 112 = 2*u + 31, -2*k + 4*u = -42. Suppose -992 = -21*n + k*n. What is the highest common factor of n and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.3, 5, 2, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 1 - (-245 + 229)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 + 0*w + 0*w + (3 - 1 - 1)*(2*w**2 - 3*w**2 - w**2) - 3 + 3 + 5*w**2 - w**2 + 2*w**2 - 3*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = -5*v - 10*j, 0 = 422*v - 417*v + 2*j + 47 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 47, 43, 39, 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(36))\/sqrt(4) + (sqrt(36)\/(sqrt(48)\/sqrt(4)) - sqrt(30)\/(sqrt(10) + sqrt(160))).\nAnswer: 17*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**2\/2 - 145*c. Let g = 522 + -562. Let q(l) = 10*l**2 - 40. Determine g*i(u) - q(u).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.8319019 times 0.2?\nAnswer: 2.16638038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a kilometer in meters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*f - 10, 0 = 4*f - 9*f + 4*w - 15. Let p be 470\/(-13) + 4\/26. Let n be 8\/p - 47\/(-9). Solve 5*y + f*b - n = 0, 0*y + 3*b = -2*y + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-66) - 60305\/(-231). Calculate the greatest common divisor of n and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**8\/6720 + s**7\/630 + s**6\/240 + s**5\/30 + 37*s**4\/12 + 29*s + 2. Let c(r) be the third derivative of l(r). Give c(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(-88) + (-70)\/(-22). Suppose 5*d - 5*f - 15 = 0, d - 2*f - j = -0*f. Let y(s) = 0*s + 6650 - s - 3324 - 2*s - 3328. What is y(d)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33.9 - -36. Let r = -1.9 - -2. Let j = p - r. Which is the smallest value? (a) j (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 4371.\nAnswer: 2\/1457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 1\/12*u**4 + 0 - 1\/3*u**3 - 5*u - 5\/2*u**2. Suppose -3*g - 16 = -7*g. What is h(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 3*r + 2. Let i be j(-4). Let z = -3 - i. Let y(n) = n + 42*n**2 + 45*n**2 - 91*n**2. Calculate y(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 46825 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-10))\/(1\/(-4)). Suppose 2*l + 234 = -4*z, 56*l - 52*l + 183 = -3*z. Which is bigger: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 14 + 3. Suppose 0 = -5*o + 4 + w. What is the second derivative of 3*n - 87*n**3 + 51*n**3 + 46*n**o wrt n?\nAnswer: 60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -54*x - 6. Let f(k) = 18*k + 2. Let a(y) = -4*y**2 + 105*y - 219. Let s be a(24). Give s*z(q) - 8*f(q).\nAnswer: 18*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.232 or 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(2 + (-9)\/3). Let v(b) = 8*b - 1. Let n be v(t). What is the closest to 0.2 in 1, 7, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021 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: Let d be 15\/((-75)\/10) + -38 + -1. Let k(t) = -9*t**3 - t + 1. Let j be k(1). Let r = j - d. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13249)\/(-2) - 1\/2. Let s be (-3297)\/o + 3\/6. Let b = s + 29231\/11040. Find the common denominator of b and 95\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 8. Let r(g) = -5*g - 3 + 2*g + g. Does 3 divide r(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -18. Suppose -2*k + 5*r = -23, -b*k + 16 = -4*r - 1. Let s = 1 + k. Solve -2 = 2*v, s*v = 4*j + v - 15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 4*r**2 - 10*r - 17. Determine p(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 + 2 - 4*d + 3*d + 34*d**5 - 13*d wrt d.\nAnswer: 680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -15*f - 37751 + 37751 + 15*f**2 - 91*f**3 - 44*f**3. Let a(j) = -34*j**3 + 4*j**2 - 4*j. Give -15*a(k) + 4*m(k).\nAnswer: -30*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 23*(2 - 3) - 1. Let d be (-31)\/15 + 8\/l. Suppose 0*k + 27 = -9*k. Is k > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2 (b) -146\/9 (c) -0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 956 and 956.\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**9)**33*w**6*w**(1\/10)\/w*w)**25 assuming w is positive.\nAnswer: w**(15155\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14014, -28431, -42848, -57265, -71682?\n\"Answer: -14417*m + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2544 - -3210011?\nAnswer: 3212555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1509320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 251385.\nAnswer: 251385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**5\/20 + 7*m**4\/12 + m**3\/6 + m**2\/2 - 2*m + 3. What is a(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52773108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -2*m - 3*v - 160, -5*m - 625 = 4*v. What is the remainder when (m\/20)\/((-1)\/4) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/(-24))\/((-9)\/36)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*l + 26*l = 21417. Is -16 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001110111000001010 (base 2) to base 9\nAnswer: 542160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 11:35 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.7055, -0.3, 0.2, -22, 0.4.\nAnswer: -22, -1.7055, -0.3, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 4*x + 6. Calculate g(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 1 + 12*p + 5 in the form u*p + b and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 7*k + 9 = 2*l, 3*l = -3*k + 18. Let b(g) = -6*g + 1. Calculate b(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-423)\/(-53)) + 1020\/(-23970))\/(1\/(-321))\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - (sqrt(84) + sqrt(84) + -3*sqrt(84)*1 + sqrt(84) + sqrt(84) + sqrt(84)) - -3*3*sqrt(84))\/(sqrt(108)\/(sqrt(90)\/(sqrt(10) + sqrt(10)*2))*-4).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 16) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00254 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -14*y**4\/3 + y**3\/2 - 3*y**2 + 3*y + 3. Find the second derivative of w(a) wrt a.\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i = -14*i + 17*i + 25, -4*t - 13*i + 1 = -44 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 179 - 177. Let v(o) = 245*o**3 + 558*o**2 + 322*o + 2. Let z(m) = -980*m**3 - 2231*m**2 - 1289*m - 9. Let r(k) = b*z(k) + 9*v(k). Solve r(w) = 0.\nAnswer: -8\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 18*w**2 + 3*w - 53. Let q be (-9 + 63\/4)*(-16)\/(-6). Let g be j(q). Which is smaller: 8\/17 or g?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11640 - 13164 = 1011*g - 6753 + 2169 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 + 30.2. Let f = i - -2.4. Let r = 0.98 + -1. Which is the second biggest value? (a) 0.2 (b) r (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31340 (base 5) to base 10\nAnswer: 2095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 1056 = -9*q. Let i be (-1 + 3\/2)\/(1\/q). Let p = 61 + i. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 14343, -8, 0, 3, -5 in increasing order.\nAnswer: -8, -5, 0, 3, 7, 14343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 16*h - 79. Let x be y(13). Suppose -136*s = -x*s - 420. Calculate the greatest common divisor of 15 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -146.1 + 228.1. Which is the biggest value? (a) g (b) 1\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 279*g - 13951. Let x be s(50). Let h = 0.9 - 1. What is the nearest to -3 in -3, x, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3\/9 + 4*u**2 - 22*u\/3 + 32\/9 = 0. What is u?\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 317, 403, 525, 683, 877, 1107, 1373?\nAnswer: 1675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2*q + 138 - 24, -2*q = 2*l - 216. Suppose 0 = m, 2*u = -0*u - 5*m + 20. Calculate the highest common divisor of u and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1830, 4.\nAnswer: -1830, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 a factor of 1308952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 94*t**2. Let l(w) = 7*w - 4. Let n(s) = -7*s + 3. Let u(o) = -3*l(o) - 4*n(o). What is h(u(b))?\nAnswer: 4606*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-2)\/(10\/(-5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-13 + 2 + (7 - -51 - 22))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9.01 in 0.043, -0.5, -5, -8, 1\/6, -0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h**(-2))\/(h*h**(1\/4))**2*h\/(h*h\/((h**1*h*h)\/h)*h)*h**5*(h**(2\/7))**(-25) assuming h is positive.\nAnswer: h**(-79\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -19*u**2 - 19*u - 4. Calculate w(4).\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04174724063 to 6 dps.\nAnswer: 0.041747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - -8. Calculate the smallest common multiple of 30 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxy when three letters picked without replacement from {k: 2, q: 1, b: 8, y: 2, w: 1, x: 3}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -14. Suppose 3 = 3*q - 3*k - 0, 5*q + r*k - 45 = 0. What is the greatest common divisor of 9 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383 - 748 + y**2 + 365.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 + 128. What is the tens digit of 0\/(-1) - (6 - b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eindqib. What is prob of picking 1 e, 1 d, 1 b, and 1 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170048 is divided by 500?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 5*w**5\/4 + 101*w**3\/6 - 5*w**2\/2 - 17. Let y(k) be the second derivative of q(k). Differentiate y(s) with respect to s.\nAnswer: 150*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5*g - 4)*(0*g + 2*g + 0*g)*(-g - 5*g + 4*g).\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 - 12. Let v = 54 + b. Suppose -v*o = t - 122, -2*o + 203 = 2*t - 17. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9875 by 107.\nAnswer: -9875\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**3 + 831*m**2 - m**3 - 1673*m**2 + 842*m**2.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d. Let k(q) = 11*q + 2. Give k(y(r)).\nAnswer: 55*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 43*u**2\/2 + 6*u - 17. Does 15 divide k(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -14 + 9*f - 24*f + 13*f - 6*f + f. Calculate p(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*c - 20, c - 5*l + 20 = 2*c. Let t be ((-37)\/111)\/(c - -1). What is the third biggest value in -8, t, -2, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1657*i - 121*i + 2048*i = -17920 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1211 - 14?\nAnswer: -1225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/55)\/(((-207)\/(-207))\/(40\/4)).\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a + 43 + 38. Suppose -3*k + 0 + a = 0. Suppose -k*x + 4*z = 1067980, -3*x - 3*z - 1780015 = 2*x. What is x rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16442541 (base 7) to base 8.\nAnswer: 6103075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 1)*(1 + 3*u**2 - 1 + (2*u - 5*u - 4*u)*(2*u + 0*u + 6*u)) as c + v*u + g*u**2 and give g.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1686685 and 82944125.\nAnswer: 18535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -262 - -498. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -75*z**3 - 89*z**2 - 5*z. Let w(l) = 38*l**3 + 45*l**2 + 2*l. Let p(c) = 2*u(c) + 5*w(c). What is the third derivative of p(h) wrt h?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y\/(y*y**(2\/5)*y)))\/(y**6*y))\/(y\/y**(2\/7)*(y*y*y\/(y\/(y\/y**(-5\/3)*y*y*y*y*y*y)))\/y*y))\/((y**0*y)**(7\/2))**43 assuming y is positive.\nAnswer: y**(-34751\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d + -44?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -232295, -232619, -232943?\nAnswer: -233267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2035 - -2034.1. What is the fourth biggest value in -0.3, -5, 2\/3, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 3)*(-4)\/(-5). Suppose 9*q - 4*q = -x*u + 14, 5*u + 2*q - 26 = 0. Suppose -k - 6 = -21. What is the remainder when k is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -1 - 6*m**2 - 5*m + 24*m**3 - 8 - 10*m**3 - 13*m**3 - 13. Calculate d(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 10*w = r + 15, 5 = w - 5*r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(4617)\/sqrt(3).\nAnswer: 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6113659 is divided by 1222721.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*v = 16, -2*p + 0*v + 8 = -2*v. Suppose -d - a = 0, p = -d - 2*d + 3*a. Which is bigger: -3\/8 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + (12 + 28 - -24)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -4883.\nAnswer: -4887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3049 or 3255?\nAnswer: 3255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 8*b**2 + 6*b - 1. Let o(n) = 2*n**2 - 1. Let k be o(-2). Let f(m) = 52 - 22 - 16 - m. Let u be f(k). Calculate d(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 820106407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16, -31, -46, -61, -76, -91?\n\"Answer: -15*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 6 - 2)*(73*d - 5511 + 5511).\nAnswer: -292*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z - 181383. Let d = -106461 + z. What is d rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1764363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7393 = -31*d + 51*d + 106*d - 6593 for d.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26.03 and -4?\nAnswer: 104.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*s + 5. Let y(d) = -3*d**2 + 9*d. Let g(c) = -c**2 + 2*c. Determine s*y(b) - 9*g(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-14)\/(-2))*(-34)\/(-17)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -17*c - 7. What is p(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180)\/(-10) - (-9)\/((-90)\/(-70))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 + 90 + 119 = -28*d. Sort d, -44, 5 in decreasing order.\nAnswer: 5, d, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10999\/(-34) - 5\/(-2). What are the prime factors of 6\/2 - (-2 + j)?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 7 + 2 + 0 + -2. Solve -z*b + 4*b = 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 17*r**2 + 19*r - 17. Let p be m(18). Suppose 0 - p = -4*a - 3*q, 2*q = -2*a - 2. Solve 0 = a*n - 3*n - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 20 = 4*j, -2*v - 3*j - 15 = -0*j. Suppose i - 3*m + 4 = -6, v = -2*m. What is the common denominator of (-4)\/i + (-102)\/90 and 109\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 6 + 6)*(-19 + 1 - 5)*(-12 + 12 - 2*q).\nAnswer: 92*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475506?\nAnswer: 2, 3, 26417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 7*v + 450. Let b be v\/(-11) - (-20)\/(-110). Suppose -g + 0*g = 4*p + 6, 5*g = -p + b. Solve g*h + 2*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5307 and 174.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 2 = -5*f, 5*f = 4*y - 53 + 31 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 60067, 60068, 60069, 60070, 60071, 60072?\n\"Answer: a + 60066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-105)\/(-10))*(2948\/16)\/(275\/150)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3011 and 2.6?\nAnswer: 7828.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/3*2\/54.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 23 + 14 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(20\/4)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjjc when four letters picked without replacement from ctpjpccccjjjt?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 26 = b - m, -6692 = 37*m - 6433 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3688*d - d**3 - 3722*d + 7412*d + 14*d**2 - 23. What is j(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 28, -2, 5, 1 in descending order.\nAnswer: 28, 5, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13144, 13149, 13156, 13165?\n\"Answer: l**2 + 2*l + 13141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49158\/13 or -2.2?\nAnswer: -49158\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 - 91. Suppose -2*l - 10 = -2*q, 3*q = -l - 3 - x. Solve -2 = b - q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1821.0834 seconds?\nAnswer: 30.35139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -366 (base 7) in base 9?\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1494, 2973, 4452?\nAnswer: 5931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 2 = 4*p. Do 5 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.18, 0.2, -5 in decreasing order.\nAnswer: 6.18, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 25*z - 86. Let g be u(4). Calculate the remainder when 180 is divided by (-12)\/g - (-104)\/7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 44*h - 30*h. What is the lowest common multiple of 49 and h?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -0.5, -2\/13, -0.1, -8414 in descending order.\nAnswer: 1\/2, -0.1, -2\/13, -0.5, -8414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.89 - -0.11. Let k be 0*(5\/2 + -2). Let d be (-6)\/(-8) - (k - -1). What is the closest to d in -3, c, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3502 or -3500?\nAnswer: -3502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41513421242 - 5?\nAnswer: -41513421251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q**2. Suppose 11*h = 14*h. Suppose 9*z - 13*z + 36 = h. Let j(n) = 8*n - z*n - n. What is j(g(s))?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 3:27 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1000 + 1003. What is the least common multiple of v and 83?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -464 divided by -4?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-176)\/(-12)*234\/(-312)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by 3210?\nAnswer: -7\/1070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*26\/((2*-1)\/((-528)\/(-132)))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 2*y = 2*x - 135, -5*x + 2*y = -294. Let b = -28948\/9 + 3214. What is the common denominator of (-1 - -1) + 32\/x and b?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27694926 and 567?\nAnswer: 83084778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 2:54 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2263 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -78, -89, -100, -111, -122?\n\"Answer: -11*u - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224 divided by -4.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16456 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2008, -3, 0, -322 in descending order.\nAnswer: 2008, 0, -3, -322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -31*u + 64. Solve 3*m = 18 - u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 15. Determine k(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/8 - 405521*c\/4 - 811041\/8.\nAnswer: -(c + 1)*(c + 811041)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(13)*-2 + -5)**2.\nAnswer: 60*sqrt(13) + 231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2555, -5069, -7501, -9809, -11951?\n\"Answer: 7*q**3 - q**2 - 2560*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, s: 2}. Give prob of sequence sjj.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bebebbebbbbbbeebbe. Give prob of sequence eee.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/5365*(-25)\/(-6)*(-297)\/495.\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 406, -284, -974, -1664, -2354?\nAnswer: -3044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -4. Let b(a) be the first derivative of -a**3\/3 + 5*a**2\/2 - 6*a + 4. Let s be b(z). Sort s, 3, -4.\nAnswer: -4, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63.53 - 57.53. What is the second smallest value in 0.4, k, 3\/4, -0.1, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17103853 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67028, -131794, -196550, -261290, -326008, -390698, -455354?\nAnswer: -519970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (3 - (-44 - -38 - (0 + 1)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(77)*-2 + sqrt(77) - sqrt(77))\/((sqrt(11)*-3 + sqrt(11))*1))**2 - (-1*sqrt(686))\/((sqrt(2) + sqrt(50) - sqrt(2) - sqrt(2))*2).\nAnswer: 7*sqrt(7)\/8 + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**4 + 47 - 6*g**3 - 48 + g**4 to r*g**2 + a*g**4 + z + o*g + m*g**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76 - 74. Let r(p) = 3*p**3 - 27*p**2 + 74*p - 60. Let x(j) = 9*j**3 - 81*j**2 + 223*j - 180. Let a(h) = t*x(h) - 7*r(h). Factor a(d).\nAnswer: -3*(d - 5)*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 9055*l**2 - 18*l + 115. Let z be v(5). What is z rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*z - 61, -4*w - 2*z + 73 = -37. Let f = w - -8. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*l - 78 = -167*l - 13*x, 0 = 2*l - 5*x + 46 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/1071 + 2012\/69615. Does y = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 649.019cm in meters?\nAnswer: 6.49019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*y + 330 = -7*y. Let q = -11 - -22. Suppose 164 = y*z - q*z. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -0.28203\nAnswer: -0.56406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1374*s - 810*s = -376*s + 42980 + 23916 for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 21 - 31 = 0. What is the common denominator of 129\/3*(r + -1) and ((-9)\/4)\/((-3)\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 663 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 11*l - 8*l, 5*l - 8 = -s. Let v be ((-6)\/18)\/(l\/((-48)\/2)). Solve w + 12 = v*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 5*z - 1. Let q be g(2). Suppose -21 = -5*s - q. Factor 0*w**2 + 0 + 12\/7*w**3 + 6\/7*w**5 - 2\/7*w - 16\/7*w**s.\nAnswer: 2*w*(w - 1)**3*(3*w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2*n + 2*n + 2*n + 2*n - 2*n + (-n - 2*n + n)*(1 + 4 - 3))*(2 - 6 + 2)*(n**2 + 5 - 5)*(-11*n - 4*n + 0*n) - 2*n + 2*n + 2*n**4.\nAnswer: 32*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -198, -325, -474, -657, -886, -1173, -1530, -1969?\n\"Answer: -2*r**3 + r**2 - 116*r - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 395118 and 3942.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 72132.81 years?\nAnswer: 72.13281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*l = 154 + 56 + 195, r + 6 = 4*r - l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.003, 2, 5, -345 in decreasing order.\nAnswer: 5, 2, 0.003, -345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from {p: 5, t: 8, c: 2, i: 2}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k + 6 = 101. Is k != 293\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 3:20 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29606, 59202, 88782, 118340, 147870?\n\"Answer: -b**3 - 2*b**2 + 29609*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2*sqrt(1300) - sqrt(1300)))*2*-6 + 5.\nAnswer: 29 + 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d**3 + d**2 - 2*d - 61. Let a(w) = 2*w**3 + w + 21. Let j(v) = 8*a(v) + 3*i(v). Let s be j(5). Calculate the highest common divisor of 30 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {s: 2, k: 2, d: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 81 = -r. Let i = 180 + -209. Let y = i - r. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -5, -13999, 8 in descending order.\nAnswer: 8, 3, -2, -5, -13999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-14 + -3 - -4).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-520)*13*-10*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-19 + 4 + 4 + -4 + 8) - 56?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9572)\/26 + 6 + 380\/(-65). Let r(v) = -4*v**2 + 14*v. Let j be r(10). Let s = j - y. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 = -3*y - 5*s, 5*y + 4*s = 350 + 86. Suppose -36 = -2*c - 2. What is the remainder when y is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/132 and -169\/3270.\nAnswer: 71940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, e: 4, r: 1, k: 4}. What is prob of picking 1 k, 1 r, and 2 e?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 356, 12, 3, -3 in ascending order.\nAnswer: -3, 0, 1, 3, 12, 356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -9*y**2 - y. Let q be o(1). Let s be -25*(-4)\/q*-1. Calculate the remainder when 272\/20 + 4\/s is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, -5, 444, 0.34, 2 in descending order.\nAnswer: 444, 2, 0.34, -0.19, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-625)\/750*(-84)\/(-875)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9111 is divided by 911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 131*r**3 + 230 wrt r.\nAnswer: 393*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.94 * -908318\nAnswer: -853818.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 63808170*l + 191424465.\nAnswer: 5*(l - 12761631)*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 4.8672.\nAnswer: 2.8672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/4 + 10\/(-8). Solve 5*d = -u*d + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 + 0.16. Which is the nearest to 0? (a) 1\/2 (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12464 is divided by 4154.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1598 and 1319251.\nAnswer: 124009594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 times 18.47\nAnswer: 3.1399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from ddidfyfidsjdi?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 9*u + 28. Give p(13).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 697758.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 + -73. Let g = -89 - j. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -103, -107, -109, -109, -107?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -2*b. What is the tens digit of 1\/((-160)\/161 + b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -956*x. Let y(t) = -551*t**2. Determine s(y(h)).\nAnswer: 526756*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 226.9.\nAnswer: 221.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.02 - -14. Let p = o + 0.02. Let m = -3 + 7. Is p bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v - 3. Let w be q(3). Let r(u) = -1 - w - 1 + 2*u + u**2. Let b(c) = -c**2 + 18 - 12*c + 10*c - 9. Determine -6*b(d) - 7*r(d).\nAnswer: -d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 434976 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.24906, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*q + q - q)*(3 + 2 - 2) + 3*q + q - 3*q)*(1 + 1 + 1)*(-5*q + 4*q + 3*q).\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**6\/90 + c**3\/2 + 24*c**2. Let x(u) be the first derivative of f(u). Let l(v) = -3*v - 2*v + 6*v. Give x(l(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-4)\/(-14)*(-3269)\/(-23350)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*u = 3*y + 217, -4*y = -3*u + 469. Let v = y - -150. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 42\/8 - (-10)\/(-40). Let s(j) = j**2 - 6*j + 7. Let a be s(g). Let 7*o**2 + 3*o**4 + 9*o**3 - 2*o**a + o**2 = 0. Calculate o.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 4. Let p(c) = -3*c + 39. Let s be p(12). Let n(m) = s*m**2 - 2*m**2 - 5*m**2 + 3*m**2. Determine o(n(v)).\nAnswer: v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 1.45, 5 in ascending order.\nAnswer: -3, 1.45, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115 - 161. What is the closest to 2 in 1\/3, t, -2\/17, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 112974, 112910, 112870, 112866, 112910?\n\"Answer: 2*g**3 - 78*g + 113050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-2))\/(-2) + -18 - 3. Let o be (s - -15) + 1*5. Suppose o = 19*h - 11*h - 1144. What is the highest common factor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -20*x**5 + 135*x**4 + 1495*x**3 + 1905*x**2 - 2735*x - 780 = 0.\nAnswer: -4, -3, -1\/4, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 276823565059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2\/7 - 77284733*p\/7 = 0. Calculate p.\nAnswer: 0, 77284733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 482 - 203. Let v = w - 120. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 2*s - 0*s - 24, 0 = -4*f + 3*s + 26 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from azzhznqnznaauauanaa.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 49 = 3*r, -3*r + 37*i - 38*i + 1 = 0. Solve 5*x + 4*s = 26, 3*x - 2 - 13 = -r*s for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*1 - 0 - -1. Let p = -1541 - -1540.8. What is the closest to 0.1 in 2\/9, p, m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5343 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x. Let w(u) be the second derivative of -u**4\/4 - u. Determine w(o(p)).\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - t + 17 = 14*c, t + 19 = 5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 10*g + 9. Let w be r(-6). Let x = -53\/4 + 449\/28. What is the common denominator of x and 2\/24*(-639)\/w?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2811*x + 16925. Determine y(-6).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9368, 9368, 9380, 9410, 9464, 9548, 9668?\nAnswer: 9830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3663485 rounded to the nearest 1000?\nAnswer: 3663000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 - 9*a - 13 + (-2 + 1 - 1)*(-a + 5*a - 5*a) + 2*a - 2*a - 3*a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2 - 5840416*w + 23361632 = 0. Calculate w.\nAnswer: 4, 2920204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 187\/3 + -63. Let y = 8.94 + 0.06. Let f = y + -8.9. Which is the second biggest value? (a) f (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 12*f**3 - 2*f**3 + 11*f**3. Suppose -2*u - 8 = -3*u + 5*j, -2*u = -5*j - 16. Calculate the remainder when z(1) is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3920 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a week in minutes?\nAnswer: 85680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.3 - -6.7. Let g(z) = 3*z - 3. Let j be g(-3). Let i(l) = l**2 + 12*l - 3. Let b be i(j). What is the third biggest value in s, b, 2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420657 is divided by 33994?\nAnswer: 12729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 14*t**2\/13 - 344*t\/13 - 150\/13 = 0.\nAnswer: -3\/7, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9, i: 3, u: 2, j: 1, k: 4}. What is prob of sequence iijf?\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 8:56 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 13*d**4\/4 + 15*d**2 - 39. Let w(y) = 4*y. Give z(w(p)).\nAnswer: 312*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**9\/(y**(-12)*y)*(((y*y**0*y)\/y)\/y)**(-22) assuming y is positive.\nAnswer: y**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400 divided by 1.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.045 + 0.955. Let a = l - -6.1. Round a to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 5:24 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*x - 214 = 0, 3*v = 4*v - 2*x - 226. Suppose 5*a - v + 799 = 0. Let z = 200 + a. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -14*a**2. Let r(g) = -g**2. Calculate r(m(x)).\nAnswer: -196*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -16*x**2 + 14*x - 29. Give l(2).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(700) - 5*(sqrt(700) + -1)) + sqrt(700) + 0) + -1*(2 + sqrt(700) + -1)*6.\nAnswer: -30*sqrt(7) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 13*c + 3. Let u be t(13). Suppose -z + 2*p = 7, z - 2*z - 8 = -u*p. Let m(i) = i**2 - 4*i - 12. List the prime factors of m(z).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -259*f + 10. Let w = -48 + 41. Is p(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.39 - -2.3. Let w = j + 4.09. Let z = w + -4. Is -1 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 3*u - 6 = -7*z, -4*z + u = -9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j. Let p(b) = b**2 - 2845*b - 2. Give p(u(f)).\nAnswer: 4*f**2 + 5690*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 - 9)\/((-3)\/46047). Suppose 7*t = 25048 + r. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 1, 2, -3, -217, 77, 3 in increasing order.\nAnswer: -217, -35, -3, 1, 2, 3, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147383?\nAnswer: 19, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l + 4*l - 4*l + 2 + (270 + 14 + 1915)*(-4*l + 0*l + 3*l).\nAnswer: -2196*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*h = -1021, -3 = h - 7. What are the prime factors of w?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 5*t**2 - 9*t - 8. Let u be p(7). Suppose 0 - u = -w. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 44 = 4*s, 0*s - 2*a = -3*s + 23. Solve -s = 2*k + 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 222459, 889796, 2002007, 3559092, 5561051, 8007884?\n\"Answer: 222437*v**2 + 26*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13244143 + 4?\nAnswer: -13244134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -438.1 + 437.8. What is the closest to -2 in f, -5, -31, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -51, -2\/11?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -19. Let l(w) = w - 1. What is l(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -74, -2, 1, -12 in decreasing order.\nAnswer: 2, 1, -2, -5, -12, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/5 + 36724*o\/5 + 146736.\nAnswer: 2*(o + 20)*(o + 18342)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -6. Is k equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.02 - 0.02. Let m = -6 + u. Which is the closest to 0.1? (a) 0.5 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21 or -2\/39?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 23*o - 7. Let p be d(-21). Let t = -11 + p. Let q = t + 117. List the prime factors of q.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -27*c - 2. Let v(d) = -57*d - 24. Let k(t) = -1216*t - 513. Let z(a) = 8*k(a) - 171*v(a). What is z(l(m))?\nAnswer: -513*m - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347763?\nAnswer: 3, 13, 37, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -8*b**2 - 6*b - 1. Let r(y) = -17*y**2 - 13*y - 2. Let p = -8 - -8. Suppose 0 = 3*i - p*i. Suppose -x = -i + 6. What is x*r(m) + 13*f(m)?\nAnswer: -2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -150 - 2?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3038 - -3413. Calculate the greatest common factor of g and 225.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 * 133\nAnswer: -3192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*(0 + 93 + (3 - 5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1573)\/54)\/((-96)\/(-232)). Let j = 1679\/24 + q. What is the common denominator of j and 49\/8?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 2\/5, -2, 0.13, -2\/9, -17 in ascending order.\nAnswer: -17, -2, -2\/9, 0.06, 0.13, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-2)\/((-4)\/(-6)). Let y be a\/((-6)\/(-4) - 3). Solve 5*c - 12 = -y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1769 and 793?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 9:34 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2785, 7896, 13007, 18118, 23229, 28340?\nAnswer: 33451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 23*j**2 - 134*j + 40. Give v(-12).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 109820295 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + sqrt(80) + sqrt(80) + 1 - (-1*(-1 + sqrt(80)))**2 - (2*sqrt(80)*-1 + ((sqrt(80) + sqrt(80) + sqrt(80) + sqrt(80) + 1)**2 - sqrt(80))*-1)).\nAnswer: 52*sqrt(5) + 1198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(16)\/(sqrt(32)*-5))\/((2*sqrt(396))\/sqrt(11))*4.\nAnswer: 2*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**3*d)\/d*d)\/d)**(20\/7)\/(d**(3\/5))**6 assuming d is positive.\nAnswer: d**(174\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15840214 or -15840173?\nAnswer: -15840214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o*u**2 - 64791337*o*u - 4189989*u**4 wrt u.\nAnswer: -6*o - 50279868*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56622 = -68*m + 1573406. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 21. Let j = 3 + f. Suppose -a = -0*a + 4*t + 20, 4*a + 3*t + 15 = 0. Sort -2, j, a.\nAnswer: -2, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -486075 - -299422273\/616. What is the common denominator of 27\/10 and n?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4251 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*j - 19 = -2*z, 0 = -2*z + 5*j - 41. Let i = z + 33. Suppose p - c - 2 = 0, -5*p + i = 2*c + 2*c. Solve t = p*t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**5*z - 3289*b**3*z - 10583*b*z wrt b.\nAnswer: 80*b**3*z - 19734*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -7*s**2 + 5*s - 3. Let n(l) = -4*l**2 + 4*l - 6*l - 2 + 8*l - 3*l. Suppose 0 = 29*h - 92 + 5. Determine h*p(f) - 5*n(f).\nAnswer: -f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/3300 and -113\/264?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 51?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 20 = -9*f. Let k be 3*(-6)\/(-9) - f. Solve -4*m = -2*p + k, -2*m + 3 - 7 = -2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 1889340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqmqmqqmmqmqmmq. Give prob of picking 3 q.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 2*z**2 + z + 3. Calculate the remainder when 35 is divided by b(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 + 86*d**2 - 4*d - 180. What is v(-43)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -148*a + 168 wrt a?\nAnswer: -148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**5 + 44*o**4 + 206*o**3 - 14936*o**2 - 242319*o - 1067220 = 0.\nAnswer: -21, -11, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6205?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 958188019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, b: 1}. What is prob of picking 1 b and 1 j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -10 + 26 + -2 - 21?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -18497 and -0.028.\nAnswer: -18497.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 + -36)\/(28\/(-34)) + 6?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 9, 3*x - x - 775 = -3*b. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2782*q - 1040*q - 1167*q.\nAnswer: 575*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2 - 2 - 7*m. Let x(y) = -3*y**2 + 42*y - 10*y - 7*y - 25*y. Calculate h(x(v)).\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + n)*(4*n - 4*n + 2*n) + n**2 + n**2 - n**2 + 10807*n - 3 + 10225*n - 20466*n + n**2 to the form k + r*n + t*n**2 and give r.\nAnswer: 566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1329 divide 79568259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 - 6083?\nAnswer: -6145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068565351 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -730.4 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 227 - 225. Let w(u) = -u**3 - 8*u**2 - 7*u + 5. Let l be w(-7). Find the second derivative of l*c + 32*c**2 - 2*c + h*c + 4*c wrt c.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 17*q**2 - 2*q + 12. Let y be j(-17). Suppose -y = 6*d - 7*d. What are the prime factors of d?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.739 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -43*x - 24. Let p be w(-22). What is the common denominator of 79\/16 and (p\/(-180))\/1 - (-2)\/5?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**6\/210 + v**5\/35 - v**4\/21 + 77*v. Factor a(f).\nAnswer: -f**2*(f - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*y - 167 - 121 - 48 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4816011?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/13, -0.3, 8, -128, 25?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -1 + 3*r + 7*r**3 + 27*r**3 + 13*r**3 + 2*r**3 - r**2. What is the tens digit of l(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 6:01 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-3)\/((-415)\/(-105) - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1338.9 and 135766.00698.\nAnswer: 134427.10698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-30)\/8*(-11 - (0 - -13)))\/2. Solve 43*u - y*u - 10 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 0)\/(-2 - -1). Suppose -u + 20 = u - 4*l, -4*l - 20 = c. Solve -k + 5*h - 5 - 9 = u, 2*h = -5*k - 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1059819639?\nAnswer: 3, 19, 251, 74077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 234 + -233.4. Let u = -52 - -26. Let q = u + 30. Which is the second biggest value? (a) q (b) -2\/9 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5 = -3. Let h(k) = k**2 - 4*k - 2. Let s(z) = 2*z**2 - 9*z - 4. Let r(a) = d*s(a) - 9*h(a). Let v(p) = 4*p**2 + p - 9. What is -9*r(t) - 2*v(t)?\nAnswer: t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = i + 5. Let f(k) = 2*k + 7. Give f(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(21\/((-1638)\/(-104)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3 = -m + 5, 0 = -m - 2*u. Let x be (-27)\/5 + 2\/5. What is the units digit of (-192)\/(-20) + m\/x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 414.232 * -1.\nAnswer: -414.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 82.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**4 - 9*x**4 - 1 + 0*x**4 + x**2 - 2*x**2 - 9*x**3 + 9*x**4 - x to k*x**2 + d*x**4 + i + a*x**3 + g*x and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23.59 from 236671.\nAnswer: 236647.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 0*z**2 + 0*z**2)*(1 - 1 + 2*z)*(17*z + 2*z**2 - 17*z).\nAnswer: -8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98 + 991*x + 198 - 100 to the form f*x + c and give f.\nAnswer: 991","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-1)\/(1\/(-15)*5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105636 and 54576.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 6*r**2 - 5*r + 9. Let k be s(-7). Let o = 11 + k. Solve -18 = -3*b - 4*d + o, -2*b - 3*d + 17 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 6*x - 5*g - 8245, -6600 = -4*x + 5*g. What are the prime factors of x?\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-70))\/(30\/(-35))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + 56. Let z = 148 - a. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 9:07 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q**2 - 24*q - 30. Is o(-31) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 4, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -9, -272 in ascending order.\nAnswer: -272, -9, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 16*h**2 - 12*h - 21. Let y be (0*(-1)\/(-3))\/(-2). Suppose -k - k + 30 = y. Is 6 a factor of f(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and 0.04.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -67*j - 63. List the prime factors of o(-7).\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*a = -47*a + 3363228. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 = 88*o + 823 + 84 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-110)\/660)\/(((-18)\/63)\/((-12)\/7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1594916039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 4*k + 0*k + (-2*k + 4*k + 0*k)*(1 - 1 + 1) - 2*k + 4*k + 0*k - 2 + 2*k + 2)*(4 + 2 - 5)*(-3 + 1 + 3).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 2 (b) 4 (c) -1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6606449*b**2*f**2 - 7*b**2 + 25499*b - 2*f**2 + 13 wrt b?\nAnswer: -13212898*f**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**3 + 2*q + 1. Suppose -5 = 5*f - 0*f. Let y be s(f). What is the second smallest value in -4, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (420\/(-175))\/(3\/(-20)). Suppose 0 = d + 2, 2*m - 3 + 15 = -2*d. Let b = c - m. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -190545 - -276065.\nAnswer: 85520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.741 + -0.059. Let g = 44 - 49. Put -4, v, 0.3, g in increasing order.\nAnswer: g, -4, v, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3487\/252 + -179\/28. Let l be (-5116)\/18 + (-6)\/(-27). Find the common denominator of l\/(-378) + (-10)\/(-35) and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7.4, 0.5, -3, 3, 0, 2\/13, -14\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -23, -29, -35, -41?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s + 10 + 7*s**2 + 11*s - 12*s**2 - 6*s in the form p + r*s + c*s**2 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 12*d**2 + 10*d + 15. Let q be g(11). Let r be ((-1)\/(-2))\/((-1)\/(-22)). Factor 4*z**2 - q*z - z**3 - 11 + r.\nAnswer: -z*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**2\/2 + 5*l + 1. Let j be c(-5). Let r = 159 + -151. Solve 3*b = -4*t + b - 16, j = 2*b + r for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94 + 330. Let u = 765 - i. Let b = 696 - u. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -188*k**5 + 92*k**5 + 97*k**5 - 4*k**3 + (k**3 - 2*k**3 + 2*k**3)*(-3*k**2 - k**2 + k**2).\nAnswer: -2*k**5 - 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 5) + (-8 - (1 - 6)) + -4 + -32.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.24 + -2.24. Which is the closest to -1? (a) m (b) -0.17 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19)\/(-2) + 4\/(-8). Suppose -2*q + j = 3. Suppose -38 = -2*n - q*k - 10, n - 2*k - 14 = 0. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/90*-2)\/((-805)\/(3714270\/769))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -28, -2, -17 in descending order.\nAnswer: -2, -3, -5, -17, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 418 - 413. Suppose -c*j = -10, 3*o = -j + 584 - 207. Calculate the highest common divisor of 50 and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 298523 divided by 91.\nAnswer: 298523\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by 2277.\nAnswer: -25\/2277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23.8? (a) -1\/7 (b) -2 (c) -5\/2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 + -50. Let l(m) = 78*m - 4 - 2*m**2 - 41*m + 3*m**2 - 34*m. What is the remainder when z is divided by l(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*o - 490, -2*c - 12*o + 959 = -13*o. Is c a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/33 and 49\/297?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**2 - 1. Let b(j) be the second derivative of 2*j**4\/3 + 607*j. Give v(b(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 51 times -3\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/2*((-2)\/(-80))\/((-94)\/235)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 10, -10*j = 2*i - 11*j - 18. What is the remainder when 95 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*s, 2*x + 2*s + 128 = 3*x. Let d = x - 40. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 222 (c) 4 (d) -3\/167\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 7*y**2 - 4*y + 9. Let s(p) = -5*p**2 - 58*p + 22. Let t be s(-12). Let r(o) = -2*o**2 + o - 2. Determine t*k(q) - 9*r(q).\nAnswer: 4*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6844756?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -51, -40, -17, 24, 89, 184, 315, 488?\n\"Answer: l**3 + 4*l - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuzrreuueur. What is prob of picking 1 e and 2 u?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 31, 60, 87, 112, 135, 156?\n\"Answer: -n**2 + 32*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n**5 + 8721*n**4 + 512226*n**3 - 169196478*n**2 - 17299269207*n + 168966466317 = 0 for n.\nAnswer: -187, 9, 957\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1698195*a - 9588 = -1698101*a for a.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**6\/720 + t**5\/24 - t**4\/4 + 2*t. Let m(j) be the third derivative of b(j). Calculate m(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12780, 12766, 12726, 12648, 12520, 12330, 12066, 11716?\nAnswer: 11268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 1. Let b(s) = 5*s + 3. Let t(r) = -b(r) + 2*p(r). What is the units digit of t(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2 + (-2 - 4 - 3)*(-1 + 1 + 2))*(-1796 + 1796 + 1538*r) to the form k + t*r and give t.\nAnswer: -24608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 25\/30*(-27)\/(-170). Let x = 2\/17 + w. Factor -1\/4*g**3 - 1\/2*g**2 + 0 - x*g.\nAnswer: -g*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2587 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8))\/((-9)\/72*21).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 - 44*j**2 + 82*j - 40.\nAnswer: 2*(j - 20)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**4 + 102*j**3 + 2*j**4 - 68*j**3 + (4*j**2 - 2*j**2 - 3*j**2)*(j - j**2 - j) as y*j**2 + u*j + s*j**3 + g + b*j**4 and give s.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -468a5 + 5?\nAnswer: -468a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - k - 2. Let o be p(0). Let d be (-5)\/(-5 - o - -2). Put 2, d, -3 in decreasing order.\nAnswer: d, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 12*x - 10. Calculate z(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 46. Let l be p(-14). Calculate the lowest common multiple of 4 and (-1 + -1)*(-144)\/l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3, 81.2, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2352) + 0 - (-3 + sqrt(48) + -2))**2 + -2.\nAnswer: 240*sqrt(3) + 1751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22771 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/157, -1, 5, 1, -102\/449?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1 + sqrt(7) + -3)*-2*4)**2.\nAnswer: -512*sqrt(7) + 1469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*sqrt(5) - sqrt(45)\/(sqrt(36) - sqrt(9)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 61 = 3*d, -5*t - 33 = -0*d - d. Suppose -5*s + 2 + d = 0. Solve -1 = 3*f + s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/32 + (-138)\/(-1360). Let v = 1.55 - 17.45. Let p = v + 16. Is p <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 28301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (144\/10)\/(19\/570). What is the highest common divisor of n and 9828?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/14, -1914, 4 in ascending order.\nAnswer: -1914, 1\/14, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.592655644 to one dp.\nAnswer: -20.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - z = -10, 0 - 10 = -5*z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -3*n + 2*x, 5*n + 2*x - 32 - 14 = 0. What is the remainder when (-230)\/(-6) + 6\/9 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -30.5 (b) -4 (c) 2\/17 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 37*j**3 + j**2 + 3*j + 2. Let l be r(-1). Let s = 59 + l. Let t = s - -3. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 19*s**2 + 23*s + 410. Calculate t(16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 - 2*b**5 - b**3 + (b**2 - b**2 + b**2)*(-2*b - b**3 + 2*b) - 18*b - 6*b**5 + 18*b + (-5*b**4 + 4*b**4 - b**4)*(-4*b + 2*b + 6*b).\nAnswer: -17*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-9 - 0) + (9 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10500 + -4?\nAnswer: -10504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**3 - 5*v**3 - 2*v**5 + (v**4 - 5*v**4 + 2*v**4)*(-1 - 2*v + 1)*(-192 + 816 + 510)*(-1 + 2 + 0).\nAnswer: 4534*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*h - 375 = h, 2*h = 4*x + 410. Let y = 395 + x. Does 296 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 3 = 3*z, 3*j + 3*z = 7*z + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 3:12 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.151 * 4\nAnswer: -0.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1952, 4095, 6434, 8969, 11700?\n\"Answer: 98*i**2 + 1849*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**2 + 6*s - 2. Determine c(5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h. Let q(g) = 86*g**2 - 118. Let r(j) = 47*j**2 - 58. Let k(n) = -6*q(n) + 11*r(n). Determine a(k(c)).\nAnswer: 4*c**2 + 280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 1:50 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34.1 + -33. Let o = g + -5.1. Let r be (-2)\/8 + (-12)\/(-12). What is the smallest value in r, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123118, 123122, 123124, 123118, 123098, 123058, 122992?\nAnswer: 122894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 156, -2677, -5 in increasing order.\nAnswer: -2677, -5, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (78\/65)\/((-3)\/80). Let h be 1 - (s\/8 + (-1 - -4)). Solve 4\/3*m**h - 4\/3*m**4 + 14\/3*m**3 + 0*m - 14\/3*m**5 + 0 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 926566*n - 14818 = 926805*n for n.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 381 + -3823\/10. Let w = -21595\/27 + 800. Find the common denominator of x and w.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59743*w - 59744*w + 119486*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -741*i - 68*i**3 + 76*i - 27*i**3 + 90*i**3 to w + t*i**3 + z*i**2 + v*i and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -262 - -1837\/7. Let j be (-26)\/91 + (-26)\/(-42). Which is the third smallest value? (a) j (b) 6 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 + 4*p - 2. Let w(s) = 3*s**2 + 4*s - 3. What is 3*g(u) - 2*w(u)?\nAnswer: 3*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - (0 + sqrt(343) + -1))**2 + 5 + 5*(sqrt(189)\/sqrt(3))\/sqrt(9) + -1.\nAnswer: 5 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15635 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: Expand (-2*w**3 - w**3 + 7*w**3)*(23 + 20 - 40 + (-2 + 5 - 2)*(-2 - 1 + 1)).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmwbtwdbtwomow. Give prob of picking 1 o, 1 d, and 2 t.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -61*z**2 - 2*z. Let l(g) = 82*g. Calculate w(l(p)).\nAnswer: -410164*p**2 - 164*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -1. Let s be (i\/(6\/10))\/(-1). Let v = -0.2 - 0.2. Which is the third smallest value? (a) -1 (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (356\/267)\/((-44)\/3)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 50*w**3 + 510*w**2 - 3180*w + 2620. Let z(f) = 3*f**3 + 30*f**2 - 187*f + 154. Let m(c) = 2*p(c) - 35*z(c). Factor m(j).\nAnswer: -5*(j - 3)*(j - 1)*(j + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0*p = 900. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*f + 33, 3*p + f + 0*f = 11. Suppose -p*d = -4*d - 4. Let h = 3 + d. Solve -h = 4*l - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**3 + 2*i**3 + 19*i - 2 + 8*i + 14*i**2 - 26*i to x*i + w*i**2 + s + f*i**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 680 - 675. Suppose 2*f + 103260000 = -5*j, r*f + 119043323 = 4*j - 139106677. What is f rounded to the nearest one million?\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 0.060217?\nAnswer: -0.0481736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(2\/73)\/(((r\/r**(-2))\/r)\/(r*(r**(-5)*r)\/r*r))*(r\/(r*r**(-2)))**(7\/13)*(r\/r**(-1\/3))**6 assuming r is positive.\nAnswer: r**(3895\/949)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 20. Suppose -q*m = -w + 44, 2*w - 4*m + 94 = 5*w. What is the remainder when w is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60468173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxos when four letters picked without replacement from ovhkvvvxkovvsvvvvvvv?\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -36. Suppose -w*c - 5*y = -72 - 143, 315 = 5*c - 3*y. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-6\/5)*w*w**(-11) assuming w is positive.\nAnswer: w**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 245*i*j**3*r**3 + i*j**3 - 36861*i*j**2*r**3 + 20*i*j**2*r**2 + 4*i*j*r**2 - 1720*i*j - 4 wrt r.\nAnswer: 1470*i*j**3 - 221166*i*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1078965311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 13, i: 3, h: 3}. Give prob of picking 2 h.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.3 - 8. Suppose v - 14 + 4 = 4*f, -3*v = f + 22. Let n(c) = c**2 + 6*c. Let g be n(v). Sort g, m, -5 in increasing order.\nAnswer: -5, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 2*g. Let w be y(-3). Let h = 6 - w. Let t = h - -28. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -241 less than -241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 0.2 (b) 6 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -37 + 25. Let c(d) be the first derivative of -5\/3*d**3 - 6*d + 3 + 1\/4*d**4 - 2*d**2. Determine c(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8091180 divided by -7110\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2388910 is divided by 140524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 262593.63 to the nearest one hundred.\nAnswer: 262600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 11\/6*x**3 + 0 - 26*x + 10*x**2. What is the derivative of j(o) wrt o?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49670 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 83*q + 1. Let r be 20\/(-25)*5\/(-2). Is k(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 q when three letters picked without replacement from qdddddspddqqdqpd?\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 31111361 divided by 3\nAnswer: 31111361\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(u - 3 + 3) + (-2280 - 1567 - 954)*(0*u - u + 0*u)*(1 - 3 + 1).\nAnswer: -4800*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 114871049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2257\/(-55) - 56662\/(-1382).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -15*(-6 + 15)\/(-9). Suppose -25*t = -h*t - 9580. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/3598288 and -31\/1088.\nAnswer: 14393152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-36) - (-10)\/8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 14, -3 in decreasing order.\nAnswer: 14, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 526272 and 192.\nAnswer: 526272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 55*k + 28. Let j(m) = -m**2 + 62*m + 30. Let h(r) = -5*j(r) + 6*n(r). What is h(19)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 128311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7177*v**3 + 2*v - 802*v**3 + 2720*v**3 - 2*v.\nAnswer: 9095*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -12.2292034?\nAnswer: -12.2292034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(10)\/sqrt(2))*-5.\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -144957 * -174.1.\nAnswer: 25237013.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3 times -5?\nAnswer: 21.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -21. Suppose u*q = 2*q. Solve -5*k + 2 + 13 = q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 78 = v - 4*v, -2*h + 3*v + 24 = 0. Suppose -2*d = -4*d + h. What are the prime factors of (6\/(-9))\/((-2)\/d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 8. Let a(t) = -6 - 2*t**2 - c*t**2 + 2 + 3*t**2. Let l be (4\/(-8)*0)\/(-2)*-1. What is a(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1028\/9 + -13 + 10. Let m = -111 + h. What is the third smallest value in -1, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -22*l - 100, -411*w - 1 - 4 = -l - 413*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*a*p + 11*a*w**2 - a + p*w**2 + 4*p - 6*w**2 wrt a.\nAnswer: 13*p + 11*w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/8)*q*q)\/(q*q**(-1\/36)\/q*q) assuming q is positive.\nAnswer: q**(83\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086 is divided by 466?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 6:44 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8*y**2 + 3*y. Let r(w) = -3*w + 3. Let p be r(2). Let n(l) = 15*l**2 + 5*l. Calculate p*n(m) + 5*k(m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/2*i + 3\/2*i**2 + 1\/2*i**3 + 5\/2.\nAnswer: (i - 1)**2*(i + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -20*i + 102. What is the least common multiple of 24 and z(0)?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.29 - 0.01. Let k = -2.30097 - g. Round k to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07 - 0.46. Let y be 4413\/5884 - 1\/4. What is the nearest to y in -1, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2016*z**2 - 661*z**2 - 667*z**2 - 664*z**2.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12549765 minus 1628320?\nAnswer: 10921445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -1339\nAnswer: -6695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 12 - z**3 + 22*z**2 - 28 + 2*z + 6 - 36. Give x(22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125\/(-50)*124036\/(-10)?\nAnswer: 11, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -329613.82 - -27?\nAnswer: -329586.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzxzxpxzlxzzzzzlzl. What is prob of picking 2 z and 1 p?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1175 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (81\/(-270))\/(6327\/101010 - 3\/39).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-1\/4))\/(o*o**(-2\/9)))**(5\/3))**34 assuming o is positive.\nAnswer: o**(-85\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 + -58. Let w be (-3)\/(1\/v*20\/(-10)). Let x = 7 - 13. Put 2, w, x in ascending order.\nAnswer: x, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*y**4 + 404*y - 3 - y**2 + 0*y**2 - 406*y + y**3 to the form b*y**4 + f*y + s*y**2 + w + q*y**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 18, a: 1}. Give prob of sequence na.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(18\/144 - (-6)\/16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6676760 and 18.\nAnswer: 60090840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1791 - -1805. Let v(k) = 39*k**3 - 3*k**2 + k + 2. Let m be v(2). Suppose 5*c - m = c. What is the least common multiple of w and c?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -308624 + 308622. Let g = 1 + -1.1. Let p = g - 0.9. Sort -0.1, a, 6\/13, p in descending order.\nAnswer: 6\/13, -0.1, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 b when four letters picked without replacement from vpqdvqbvpp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1641 is divided by 1381?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k - 41. Let g be i(-11). Solve c = -g*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 1. Let d(v) = 11*v**2 - 4*v - 4. Give -d(j) - 4*g(j).\nAnswer: -11*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16890, -67569, -152034, -270285, -422322?\n\"Answer: -16893*i**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 20*p = -36. Solve -2*w - p*w = 5*v + 21, v - 11 = 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 + 40 = 0. Let j be (-7)\/14 - a\/4. Let u = j - -5. Solve 4*t - u*t - 25 = 0, 19 = 2*w - 5*t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 27.04 and 194.\nAnswer: 221.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68012 and 6108588?\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-13 - (-7 + 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 254436*w + 56938144.\nAnswer: -4*(w - 223)*(w + 63832)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*3\/(-54)*-4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((5 + -2)\/(-66)). Let p = -4 - n. Is 23 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {o: 4, n: 3, c: 1, v: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from {g: 1, j: 2, q: 1, z: 1, p: 1, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 71012240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 286571462 to the nearest integer?\nAnswer: 16928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*o = 15. Suppose v = 2*v + 5*f + 4, -3 = -o*v - 2*f. Suppose 2*b + 5*x = b + 19, -4*x = b - 16. Sort 5, b, v in descending order.\nAnswer: 5, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -0.04505.\nAnswer: 1.95495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 5*m - 4*j, 5*m + 5*j - 47 = 3 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4301 = 7*y. Calculate the highest common factor of 184 and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-9)*s*s)**(-4))**(-14) assuming s is positive.\nAnswer: s**728","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4375475 by 1.\nAnswer: -4375475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1853 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 0.1. Which is the third smallest value? (a) -5 (b) d (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*s + 26*s - 66*s + 139*s**3.\nAnswer: 139*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39286847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7386073404 to the nearest integer?\nAnswer: 1947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -1 - 4*u**2 + u + 0*u - 6 + u - u**3. Let j = 444 - 449. Give f(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*q - 140 + 166, 24 = 3*x - 2*q. Determine d, given that -8\/5 + 8*d**3 + 51\/5*d**2 + x*d + 7\/5*d**4 = 0.\nAnswer: -4, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-21)\/6))\/(84\/3822)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 586.\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3781*u**5 + 215*u**4 + u**3 - 38111290*u wrt u?\nAnswer: 75620*u**3 + 2580*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 29 (b) -4 (c) -0.1 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11088 * 3\nAnswer: 33264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152)*1)**2 - sqrt(1152).\nAnswer: -24*sqrt(2) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*w + 1. Suppose 0 = -w*n + 1 + 8. Suppose -5*u = 2*k - 15, k + 4*u = -n*k + 24. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33709 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 30 - 9. Let v = -3 + b. Suppose a + 42 = v*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 7:02 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006311 to five decimal places.\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63 by 376.\nAnswer: -63\/376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/15)\/((-1)\/(-5)). Solve 6*n - h*n = 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -6*x**2 + 6*x - 22. Let p(k) be the first derivative of -2*k**3\/3 + k**2 - 7*k - 6. Let a(b) = -4*b**2 - 1. Let i be a(-1). Give i*l(y) + 16*p(y).\nAnswer: -2*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 703.28901 + 0.0018.\nAnswer: 703.29081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 87 = 39. Solve r + 8 = -4*x, 0 = 4*r - s*x + 2*x - 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 2*w**2 + w - 2. Let q be h(2). Suppose q = 4*k - 4 - 4, 0 = 5*u - k - 23. What is the second smallest value in u, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*l + 161 - 23 + 150. Solve -l*v = -737 + 681 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 22*i**2 - 10*i + 18. Let k(j) = j**3 - 8*j**2 - 12*j + 30. Let s be k(9). What is the units digit of t(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -421827842.66 and -299.\nAnswer: -421828141.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 2*h**2 - 2*h**2)*(2*h - 4*h + 3*h) - h**3 - 2*h**3 + 5*h**3 + (-h**3 + 4*h**3 - h**3)*(-2 + 3 - 2).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 262371 and 32433.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 46 from 0.0215519482.\nAnswer: -45.9784480518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120 - 119. Let d be 0 - -4 - (-2 + j). Find the second derivative of -5*t**5 - 11*t**5 - 18*t**d - 22*t - 13*t wrt t.\nAnswer: -680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22321210 (base 5) in base 14?\nAnswer: -523a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2. Suppose -3*g + 9 = -12. Let n = -5 + g. Let o(s) = -2*s**n + s**2 - s**2 + s**2. Calculate d(o(z)).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*x = f - 67, -2*f = 3*x - 120. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153, -134, -405, -654, -875?\nAnswer: -1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11571944*t - 23143885*t + 11571933*t + t**2.\nAnswer: t**2 - 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 136 = 4*v - 0*m, 5*v = -3*m + 170. Let g = v - 17. Suppose p - 3*l - 3 = 2*p, 3*p - 4*l = g. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -4*x + 59, 23*x + 3*y - 48 = 8*y + 35 + 20 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58250623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (3 + -4 - 3). Suppose 4*t = 2*m - 12, -117*m + 5*t + 35 = -112*m. Solve d*a - m*a = -2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 - 3*g**5 + 0*g**5 + 2*g**5 + 2*g**4 - 2*g**4 + (0*g**3 + g**3 - 2*g**3)*(-5*g**2 + 3*g**2 + 4*g**2) - 5*g**5 + g**5 + 3*g**5.\nAnswer: -2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvzpavvzxnnva. Give prob of sequence apv.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 2300*h**2 + 2*h + 8. Let t(r) = -2*r**3 - 2299*r**2 + 3*r + 12. What is -3*s(m) + 2*t(m)?\nAnswer: -m**3 + 2302*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*i - 15 = 0. What is the remainder when 34 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4*w**3 - 1076372*w**2 + 2152756*w - 1076380 = 0.\nAnswer: -269095, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - 0 - (-527 - -532)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/60 and 61\/400140?\nAnswer: 400140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-13)\/(h**(-3)\/h))\/(h*h**(-4))**(1\/31) assuming h is positive.\nAnswer: h**(-276\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11893*z - 11906*z + 117 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 q when two letters picked without replacement from qqqqqmmmqq?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.793353 months in years?\nAnswer: 0.06611275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26b3 + -5?\nAnswer: 26aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 12*o + 107. Is 13 a factor of d(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrzr when four letters picked without replacement from {z: 2, r: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.76 rounded to 1 decimal place?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-328)\/(-64) - (-2)\/(-16). Solve -3*o = -o + 2*y, 0 = -2*o - j*y + 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.26 * 29.\nAnswer: -7.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 322 + -319. Solve 3*c + h*j - 11 = -c, -5*c + 4*j = -6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9919*r**2 + 15092*r.\nAnswer: 19838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 + 26 = 6*v - 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n + 1. Let f be l(-1). Suppose 12 = -4*v - 12. Let h = f - v. Calculate the smallest common multiple of h and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 34 = -5*t, w - 2*t = -3*w + 48. Calculate the remainder when 3*((-9)\/((-27)\/62) + -4) is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 1 = 2*y - 2*z, 4*y - 18 = -2*z. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - x + 3*p + 67 = 0, 379 = -5*x + 6*p + 500 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.3573536 hours?\nAnswer: 1286472960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (144\/64)\/(9\/(-8) - -1). Let b = -25 - n. Are 1 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 463 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9 + (-118)\/(-14) - 20\/14. What is the lowest common multiple of -4 - (a + -8 + 3) and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -308584 - -13.\nAnswer: -308571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 273.7566 meters?\nAnswer: 27375.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 4 + 2*c - 1)*(-1 + 0 - 1)*(203*c**2 - 309*c**2 - 283*c**2) to h*c + a*c**3 + v + f*c**2 and give f.\nAnswer: 4668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**2*w**3 + 8*b**2*w**2 + 390*b**2 - b*w**3 + 22*b*w - w**3 + 80*w wrt b?\nAnswer: -8*w**3 + 16*w**2 + 780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078358521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684641482.\nAnswer: 2, 7, 48902963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 10:49 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**4\/4 + 8*n**3\/3 + n**2\/2 + 8*n + 274. Let u = 12 - 20. Give d(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7520\/63? (a) -1\/4 (b) 5 (c) 0.4 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*f**3 - 1 - 1352*f + f**2 - f**2 - 54*f**3.\nAnswer: -f**3 - 1352*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 517 + -516.669. What is c rounded to 2 dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*q, -5*q + 189 = 2*u + 214 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10099439.\nAnswer: 7, 79, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 4*c. Let k(n) = n**3 - 7*n**2 - 8*n + 3. Let a be k(8). Let j be (0 + -1)*(-4 + a). Let o = -4 - j. What is h(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -5, -3, 4, 38 in descending order.\nAnswer: 38, 9, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 510903737 to the power of 1\/2, to the nearest integer?\nAnswer: 22603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**5\/4 + m**4\/8 - m**2 - 19. Let u(l) be the second derivative of x(l). What is the second derivative of u(v) wrt v?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/1376 and -81\/5999188?\nAnswer: 47993504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 22*b + 94. Let t be o(16). Is (-19)\/t*(-11 - -553) - 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-3))\/(2\/6). Which is the biggest value? (a) d (b) -0.1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1174*p**2 - 1106*p**2 + 2293*p**2.\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -15. Solve 5*w + z*g = 4*g - 6, -3*w - 2 = -4*g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 24, -0.7, -3, 185 in increasing order.\nAnswer: -3, -0.7, 24, 28, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 190917 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/26 and -103\/12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25492243*i - 12333782 with respect to i.\nAnswer: 25492243","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5989315 a multiple of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 1:33 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.25 and -15.\nAnswer: -3.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 0 + 57\/9*3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 19*l + 12980 = -24*l, 5*l + 17300 = 4*g. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 8*m**2 - 2*m + 2. What is g(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -381*p**5 + 3*p - 23?\nAnswer: -7620*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(135)\/sqrt(3))**2 + (sqrt(45)*-2)**2 + 5.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3477, -3, -8 in decreasing order.\nAnswer: 3477, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*s**6 + 13*s**5 - 5904*s**3 + 313546*s**2 + 52*s.\nAnswer: 840*s**3 + 780*s**2 - 35424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.960336 to two dps.\nAnswer: 1.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -7 - (-3 - -5)) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 8*y**2 + 7*y - 12. Let u be -4 + (-9 + 11 - -10). Give q(u).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**2 - 149*g + 18. Calculate a(-30).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65327700.\nAnswer: 2, 3, 5, 19, 73, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 136656.\nAnswer: 1503216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 34 = -2*m, -3*j + m = -m - 25. Suppose 0*g - 3*g + j = 0. Let c be ((-24)\/(-21))\/((-4)\/(-14)). Is g < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -12. Suppose -5 = 4*k + z, -5*z - 25 + 0 = -2*k. Suppose 0 = -5*b + 2*l - 3, 0*b = 5*b - l + 4. Sort j, k, b in decreasing order.\nAnswer: k, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59 and 145553?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 102.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2047+131506\nAnswer: 133553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 - 16881*y\/4 - 3200254.\nAnswer: (y - 17608)*(y + 727)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 12 - (-1 - 15)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 22*t = 3. Suppose 0*j + 3 = -3*j. Let z = j - t. Solve 2*k - 8 = -4*y, 4*y + 3*k = -z*k + 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-13) - 10\/65. Suppose 2*d - q - 3 = -4, 2*d + 2*q - 14 = b. Sort -63, 0, -2, d in decreasing order.\nAnswer: d, 0, -2, -63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(19) + 2)*-3*-1 + 5.\nAnswer: 9 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5844 or 4043?\nAnswer: 5844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -615622115*d**2 + 1811710*d + 152 wrt d.\nAnswer: -1231244230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1539) + (sqrt(1539) - sqrt(1539)*1) - sqrt(1539)) + sqrt(1539) + sqrt(1539))*1)**2.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 24087 + 120416 = -3*b, -2*a = 3*b - 96287. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = -938*o + 954*o + 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 112*u**4*z - 207*u**3*z - 119153*z wrt u?\nAnswer: 448*u**3*z - 621*u**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 10:51 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -46*i + 25. Let a(m) = -9*m + 5. Let w(t) = 11*a(t) - 2*r(t). Let b(x) = -11*x + 8. Determine 5*b(k) - 8*w(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85 + 89. Solve 4*j + 2*x = -30, 0 = 2*j - u*x - 6 - 4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 - 71 - (-8 + 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13a (base 13) to base 16\nAnswer: -da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*u + 15 + 23 = 0, 5*p - 42 = -3*u. Calculate the least common multiple of p and (-18)\/20*10\/12 + (-172)\/(-16).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/2*(-12)\/6. Let m(x) = x**2 + 7*x + 6. Let c be m(-6). Let g be c - (-29 - (0 - 1)). What is the highest common divisor of i and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010012112121 - -122?\nAnswer: 1010012120020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -106, -379, -906, -1771, -3058?\nAnswer: -4851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -0.4 (b) 2\/3 (c) -1\/6 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 169720.38 months in years?\nAnswer: 14143.365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (-5 - (0 + -5 + 4)). Let l(t) be the second derivative of 0 + 5\/12*t**p - 10*t + 5\/6*t**3 + 0*t**2. Factor l(q).\nAnswer: 5*q*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 2.55. Let k = -2.95 - z. Which is greater: -0.8 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323670.8 times 31?\nAnswer: 10033794.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-9 - -12 - (2 - 3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 90\/30 + 2 + (-54)\/(-2). Suppose -q = -9*z + 4. Solve 21 + z = -5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43395 is divided by 37504?\nAnswer: 5891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6822.\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33335 (base 7) to base 5.\nAnswer: -232110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117458 - 505725 = -2*w + 5*m, m + 388263 = 2*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048388 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5118 is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2284266436*u**4 - 9137352508*u**3 + 1147065*u**2 - 36*u = 0.\nAnswer: 0, 3\/47794, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 850916 is divided by 337.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 413705?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0*r - r)*(r + r + r) + (r - 4 + 4)*(r - 4*r + 5*r) - 3*r**2 - r**2 + 5*r**2 + 206*r**2 + 152*r**2 - 297*r**2.\nAnswer: 55*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32783.77 years to millennia.\nAnswer: 32.78377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/24)\/(3894\/106200)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, 11\/6, 4, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 0*o + 3*i - 11*i + 82 - 12, -5*i = 3*o - 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1078 and 660?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134657450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000137112 to 6 dps.\nAnswer: -0.000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/((x**1\/x)\/x)*x**(1\/6)*x*(x**1\/x)**(6\/7))\/((x*x**3)**(-45))**32 assuming x is positive.\nAnswer: x**(34585\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (49*v**3 + 92 - 92)*(-2 + 2 + v) + (-8*v**4 - 15*v**4 + v**4)*(-4 + 2 + 1) as b + y*v + t*v**3 + p*v**2 + u*v**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -103\nAnswer: 5\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781109857.\nAnswer: 11, 1181, 60127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(2160) + 6*((sqrt(2160) - sqrt(2160)*1) + sqrt(2160)))*1)\/(-2*sqrt(50)\/(sqrt(30)\/(1*sqrt(3)) + sqrt(10) + sqrt(10))).\nAnswer: -126*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 times 854.701\nAnswer: -102.56412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + -1. Let p = -13 + 15. What is the smallest value in p, m, 1\/10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3289 + 3b?\nAnswer: -324d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 6*a - 43. Calculate the highest common factor of a and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, a: 1, k: 3}. Give prob of sequence mkmm.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -9. Suppose -x*i = -0*i - 16. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 3067 + 397 = -5248. Is s at most 1090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 11. What is j(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 4*f = -3*f - 1, 5*h + 4*f - 15 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 12*w + 299. Let h(i) = -36*i - 882. Determine 3*h(j) + 8*m(j).\nAnswer: -12*j - 254","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 395822367 - 395822367.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 827 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1696628 or -1696596?\nAnswer: -1696596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84515022 and 41?\nAnswer: 84515022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 + 220*g**2 + 7037*g + 4762. Calculate n(136).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1416 = 6*u - 18*u. Suppose 120*k = u*k. Let i = 54 + -708\/13. Is i less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 n when three letters picked without replacement from {c: 2, o: 4, n: 2, x: 3, p: 2}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/20 + 421\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2639, 5280, 7921, 10562?\nAnswer: 13203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -26 - 14. Suppose 776 = v + b*j, 4*j + 10 = -6. Is 34 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 15*y + 144. Let z be u(18). Let a = 619 + z. What is the greatest common divisor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 10*u - 138. Determine s(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264163?\nAnswer: 17, 41, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7 - 7 + 9*f - f**2 + 3*f**2 - 3*f**2 + 10. Determine v(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30364152 plus -799467?\nAnswer: -31163619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (13 - 19)\/((-1)\/(-2) + -2). Suppose -n*l + 72 = 60. Suppose 4*y - s - 114 = 465, 161 = y + l*s. What are the prime factors of y?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -206, 2, -43 in ascending order.\nAnswer: -206, -43, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 4*y + 8, -5*y - 16 = -y - 2*o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 381904013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.22, 4, -79 in increasing order.\nAnswer: -79, 0.22, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 + 2*d. Let x(n) = n - 32 + 64 - 32. Determine x(t(j)).\nAnswer: 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p. Suppose 0 = 4*x - p*x - 12. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.024 and 2844834.\nAnswer: 2844834.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*i - 353 = -9*i, 3*o - 1092 = -4*i. Does 23 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 12*v**2 + 33 - 93 - 9*v**2 + 4*v**2 + 30.\nAnswer: -17*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -4, -16\/5, -157, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4943 + -8?\nAnswer: -494b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 63.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 6*o**2. Suppose 14 = 3*p - 4. Let z be a(p). Suppose 1766 = -0*w + 4*w - 2*m, z = -2*w + 2*m + 880. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 = 4*p + 67. Let f = -40 + p. Suppose -115 = 6*z - 337. What is the remainder when z is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/54240 and 149\/624.\nAnswer: 705120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (0 + 8)) + 0 + 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4745675?\nAnswer: 5, 11, 17257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27f8f (base 16) to base 6.\nAnswer: -3301555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -2*h**3\/3 - 17*h**2\/2 - 2*h + 23. Let u be q(-6). Solve -29 = 5*k + 4*n, 5*k - n = -4*n - u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62749 and 1916.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 8232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(72) - (sqrt(18) - 2*sqrt(1800)))\/(sqrt(6) + sqrt(294)*1 - sqrt(54)\/(sqrt(9) + sqrt(441))).\nAnswer: 88*sqrt(3)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-227230)\/7130 + (-6)\/46.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 159 (b) 1 (c) -2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21051 and 477.\nAnswer: 1115703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2001311 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 - 31. Suppose -p = -6*b + 3*b. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*k + 82*k - 3*k = 259*k + 9717 for k.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((56\/49)\/4)\/(3 + 108\/(-21))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/222 and -53\/7461.\nAnswer: 552114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -128*s**4 + 35567*s + 76601753 wrt s?\nAnswer: -512*s**3 + 35567","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.3, 8, 896?\nAnswer: 896","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*f - 5*f = 59, 3*f - 83 = -5*a. Suppose -g - 3*g = -a. Suppose 4*t + 4 = k, 3*k - 5*t = g + 15. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 m when two letters picked without replacement from {m: 2, b: 2, q: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 121194603 to the power of 1\/2, to the nearest integer?\nAnswer: 11009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(68) - (sqrt(68) + 1)*-6) + sqrt(68) + 1*sqrt(68)*-2) + (-1*sqrt(119)*4 + sqrt(119))\/(sqrt(448)*5).\nAnswer: -963*sqrt(17)\/40 - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 12 = -3*z, z = 5*q - 6. Let w(m) = 3*m + 27. Let k be w(-8). Sort k, q, -2.\nAnswer: -2, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*g + 2608 - 2355 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 43. What are the prime factors of n(0)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**2*r**2 + 25*c**2*r - 12357*c*r**5 - 3*c*r - 314*r**2 + 4*r + 2025 wrt r?\nAnswer: -2*c**2 - 247140*c*r**3 - 628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -13 + 1, -2*m = 2*r - 6. Suppose -v + 14 = p, 2*v = -3*p - p + 24. What is the lowest common multiple of v and (-4)\/(-14) - (-124)\/m?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 24687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**3\/9 + 84514*w**2\/3 + 892869280*w + 2678354304 = 0.\nAnswer: -63384, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1240, -2470, -3700, -4930?\n\"Answer: -1230*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*l - 14. Let t = l - -21. What is the third derivative of 8*z**2 - 9*z**2 + 6*z**3 + 7*z**t wrt z?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32040 and 10?\nAnswer: 32040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 7071460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -455 + 406. Let a be (-132)\/(-182) + 28\/i. Let y = 129 + -906\/7. What is the smallest value in a, y, -5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(-58))\/(23\/2). Let h = 25978\/4669 + w. Let j = 1\/2218 - -46023\/1109. What is the common denominator of j and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.848159 * -0.3.\nAnswer: -6.2544477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**4 + 3*m**4 - 3*m - 10110592*m**3 + 0*m + 33*m**2 + 10110588*m**3 to v*m**3 + c*m**4 + b*m + j*m**2 + o and give j.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*p**3 + 1\/2*p - 1\/2 - p**4 + 3\/2*p**2 = 0 for p.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27873*c*l**2*y - 2*c*y - 23*l**2*y**2 + 747480*l*y**2 + l + 3*y**2 wrt l.\nAnswer: -55746*c*y - 46*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2060298 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/3 - 303773*m**2\/3 + 2733714*m.\nAnswer: m*(m - 303746)*(m - 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 2 + 2\/(-1). Calculate the greatest common divisor of 4 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*p - 2985, -45*p = -42*p - 24. What is the highest common factor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -3, -157375539 in decreasing order.\nAnswer: 5, 0, -3, -157375539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 5 - 9 = j, -42 = 6*j for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6375.126 years?\nAnswer: 63.75126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 3*r - 6. Let j be y(-2). Let k(t) = -5*t - 6 + t - t. Let x(l) = -4*l - 5. Calculate j*x(d) - 3*k(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -242 - -573. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/3)\/((-2)\/66). Let y = s - -7. Is y less than or equal to -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -86017*k**2 - 5*k + 3 - 9*k - 3 + 86034*k**2 in the form p + q*k + t*k**2 and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7060*x + 190628. Determine s(-27).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5507?\nAnswer: 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(432) + (sqrt(432) - (-2 + sqrt(432))) + -1))**2.\nAnswer: 600*sqrt(3) + 10825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420 is divided by 309.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or -3939\/190?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5454 and 1818.\nAnswer: 5454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -412.566\nAnswer: -2062.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 898 + -895. Let c(w) be the third derivative of -1\/240*w**6 + 0 + 0*w**5 - w**2 + 1\/48*w**4 - 1\/840*w**7 + 1\/24*w**i + 0*w. Factor c(t).\nAnswer: -(t - 1)*(t + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5601?\nAnswer: 3, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 204983267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, 184\/5, 3\/8, -2\/3, -0.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y - 1. Let k(p) = -5*p + 1. Suppose 2*v = 2*f + 16, 2*f + v = -57 + 50. Give f*k(c) - 4*i(c).\nAnswer: 5*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4\/(-17))\/(14\/(-84)) and -29\/4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.487 + -0.287. Let a(r) = -r**3 + 3*r**2 + r - 4. Let x be a(3). Is f greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (3 + -4 - 3) - -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -2, 1, 2, 4 in descending order.\nAnswer: 4, 2, 1, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f - 3*f + 2*f + 4*f**2 + 6*f to s*f**2 + z + l*f and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) -3 (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -427\/6, -3, -10, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*d - 28, d - 8 = 6*p - 7*p. Suppose -4*t - 4*k - 60 = 0, -4*t - 7 = -d*k + 17. Let s(h) = -h**3 - 11*h**2 + h + 9. Calculate s(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5 = -6. Is ((-156)\/9 - s)*-3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 1. Let o(x) = -3 + 4 + 131*x - 3 - 137*x. Calculate -2*d(p) - o(p).\nAnswer: -2*p**3 + 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*i**2 - 3*i**5 - 6*i**2 - 300 - 21*i**4 + 42*i**2 + 15*i**3 - 120*i = 0. Calculate i.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87 - -83. Is (d + 2)*17149\/(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.25289 - 0.23289. Let w(x) = -3*x. Let k be w(-2). Let s be (2\/(-15))\/(8\/k). What is the second biggest value in p, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 4, -12, 5, -3 in ascending order.\nAnswer: -12, -3, 4, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 593, 1175, 1757, 2339?\n\"Answer: 582*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + sqrt(2057)) + 6*-4*sqrt(2057))**2*-6 + 5.\nAnswer: -10379767 - 19140*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/2, 380, -3, -9\/7, -5?\nAnswer: 380","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107410 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*(28\/8)\/((-1862)\/(-798))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 241483 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*a + 103*a - 2 - a**2 + 0*a**2 + 3*a**2 in the form y*a + q + u*a**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 5, -4, -7, 0, 1313 in descending order.\nAnswer: 1313, 5, 0, -2, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -55*l + 54*l + 3, 0 = 2*l - 2*s - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84410.\nAnswer: 2, 5, 23, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 480081430?\nAnswer: 2, 5, 48008143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8208, -9016, -9836, -10674, -11536, -12428, -13356, -14326?\nAnswer: -15344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + k - 5*k = -4, 5*n + 3*k - 9 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m - 190. Let b be d(0). Round b to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -195200 rounded to the nearest one thousand?\nAnswer: -195000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-28)\/12))\/((-9*544)\/32)\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171, -25, 373, 1149, 2429?\nAnswer: 4339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 545911?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1049*z + 1075188 - 537591 - 537598 - 2*z**2.\nAnswer: -2*z**2 + 1049*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 5:13 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**3\/5 - 39*a**2\/5 + 126*a\/5 = 0.\nAnswer: 0, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 24295.59 to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1055*s**4 + 1527*s**4 - 2946*s**4 + (4*s - 4*s + 2*s**3)*(s - 2*s - s) as j*s + w*s**4 + h + p*s**3 + u*s**2 and give w.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 2114?\nAnswer: 19026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 0*n + 2*n**2)*(-2 - 2 + 5 + (4 + 2 - 3)*(3 - 1 - 3) + 4 - 4 - 1).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 6 = 24 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/117660 and -43\/13144?\nAnswer: 7294920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3 - 2*n + 2*n**2 - 2*n**2 - n**2. Let q be (-3)\/(-2) - 1\/(-2). Determine s(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 9.4823?\nAnswer: -9.4823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -63a0be?\nAnswer: -63a0c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*x = -132*x - 2100 - 60. Put -4, 5, -11, -1, x in decreasing order.\nAnswer: 5, -1, -4, x, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 250698 + -150115. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 94329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**2 - n. Let i = 13 - 13. Suppose 0 = 5*g + 5 - i. What is the units digit of j(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 8:05 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -853*h - 4845 wrt h.\nAnswer: -853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*1.399\nAnswer: 0.2798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-3)*63\/(-126)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (1 - (-2 + 4)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 43\/9 + (-4)\/(-18). Suppose -q = -f - 28. Let o = -22 + q. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 5*x + 546, 9 = -0*x + 3*x. List the prime factors of w.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51735703?\nAnswer: 4679, 11057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*n - 4*k - 128, 4*n + 133 = -5*k. Is (-1349)\/(-3) - (-18)\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c8 (base 14) to base 10.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4434 and 11025141?\nAnswer: 2217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 6106613?\nAnswer: -3\/6106613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13250985883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3 = -3*z. Let q(s) = 0*s**2 + 2*s - 3*s**z - s + 7*s**3 - s**2. Is q(2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 4 (c) -1 (d) 2\/5 (e) -2 (f) -56736 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 10:52 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 48\/(-40)*(-30)\/12. Solve -3*y = -4*o + 7, 3*y + 5 = y + g*o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -62045081.\nAnswer: -62045080.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -29. Let t = 9 - u. Suppose 4*m - 13 = -x, 14 = x + x + 2*m. Which is the nearest to 1? (a) t (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**7\/1680 - a**6\/160 + 11*a**5\/480 + 5*a**4\/16 - 25*a**3\/12 - 361*a**2. What is w in o(w) = 0?\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15609*h**2*w**2 - 6*h*w**2 - 4*h*w - h - w**2 wrt h.\nAnswer: 31218*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 77294725 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/7, -5036\/11, -0.3 in descending order.\nAnswer: 2\/7, -0.3, -5, -5036\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**3 - 29*g**2 + 26*g + 170. Calculate the remainder when w(10) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 + 2 - 10*f**2 - 6*f + 6*f.\nAnswer: -6*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, -0.121, -5\/11?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2879165 * 1.03\nAnswer: -2965539.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16289838*h**4 + h**2 - 20954855?\nAnswer: -390956112*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 147576 divided by 88?\nAnswer: 1677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 287 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 4*t - t)*(0 - 18 - 41 - 13).\nAnswer: 144*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 762 + 780 + h**2 - 2*h**3 - 46*h**4 - 1512 wrt h.\nAnswer: -1104*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 11*v**3 + 37*v**2 + 82*v + 44. Let o(l) = -20*l**3 - 75*l**2 - 165*l - 90. Let g(k) = -3*o(k) - 5*r(k). Determine w so that g(w) = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 0.153, 2\/15 in descending order.\nAnswer: 0.153, 2\/15, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1271\/221666 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1252?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u - 20. Let a be z(-9). Suppose a = -6*k + 10*k. Suppose k*g = -5*m - 0*m + 3, 6 = 4*g + 2*m. Solve -x + 4*l + 6 = -4, -2 = 4*x - g*l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(2\/7)*n\/(n*n**(-6))*n)\/(n\/(n*n*n**2))**(-7\/2) assuming n is positive.\nAnswer: n**(-39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 28 and -161.7127411.\nAnswer: -133.7127411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-12))\/(2\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 564\/(-1551) + 8\/22. Let z(i) be the first derivative of -1\/3*i**3 + 12 + c*i - 3\/2*i**2. Factor z(y).\nAnswer: -y*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 949*v = 846*v + 1442 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -227795*c**5 - c**4 - 3091389*c?\nAnswer: -4555900*c**3 - 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + r**2 + r. Let i(q) = -3*q**3 + 16*q**2 + 14*q - 5. Let k(f) = -4*a(f) + i(f). Let g be k(-11). Is g greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/((-1225)\/60))\/(((-275)\/(-308))\/(235\/(-376))).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6 (b) 0.2 (c) 5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 10*a**2 + 12*a**2 + 10*a**2 + 11*a**2 - 39*a**2. Let w(k) be the third derivative of -k**5\/60 - k**2. Calculate g(w(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bff when three letters picked without replacement from bffbff.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 9 - 18 = 0. Let n be ((-2 - -3) + -1)\/1. Suppose n = 4*d - 428 + 32. Calculate the greatest common factor of v and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 3*r + 3, 0 = 3*r + 2*r - 20. Suppose -3*n = -5*t - 40, f*t + 10 = t. Suppose 0*p + n = -p. What is the closest to 0.1 in p, -25, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*h - 4*h + 12*h)*(-4 + 2 - 4) - 7*h - 6*h + 17*h + (0*h + h + h)*(2 - 6 + 5).\nAnswer: 60*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from mjkjkjjwm?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 257665258 or 257665260?\nAnswer: 257665260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -307*j + 4601. Let a be t(15). What is the closest to 136 in -4\/3, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -134 - 335. List the prime factors of t.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/10))**(2\/39) assuming m is positive.\nAnswer: m**(-1\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -154776 (base 11) to base 10\nAnswer: -240510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 - 2*i**2 - 34*i - 54. Determine x(7).\nAnswer: -1076","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(1\/((-16)\/12*3\/(-8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (78 + -2)*2051\/84*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-6))\/(2\/20). Suppose d*b - 17 = 8. Suppose b*u - 12 = 2*u. Solve -5*m + u = 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 138554 = -348692. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 405.46 + -401. Let u = 0.16 - t. Let q = u - 0.7. Which is the second smallest value? (a) -2\/11 (b) q (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8862074 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11834 + 11855. Which is bigger: 593\/28 or m?\nAnswer: 593\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqfqqfffxfq. What is prob of sequence cq?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18114.06 rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 w, and 1 r when four letters picked without replacement from wpwwpwrwwpprrwrpwr.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/6638 and -113\/6?\nAnswer: 19914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/27 - (-2311)\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 145513761?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1428 divide 15572967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 9*m + 9. Give u(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76 - -23*(-599622)\/181263?\nAnswer: -6\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 307 - 115 = 0. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3. Let g(t) = 13. Let s(b) = 4*g(b) - 18*w(b). Let y(u) = -u. Let l(a) = s(a) + 3*y(a). Let i(k) = -k - 1. Give -5*i(q) + 2*l(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1002 + 2?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 65047764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + 6*2*sqrt(1300))**2.\nAnswer: 219700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 4\/40*6. Let t(m) be the first derivative of -2 + 0*m + 0*m**4 - 1\/3*m**6 + 0*m**2 + w*m**5 + 0*m**3. Factor t(h).\nAnswer: -2*h**4*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -665, -1060, -1717, -2636?\n\"Answer: -131*t**2 - 2*t - 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)*l*l)**(1\/37) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ueue when four letters picked without replacement from ueeyuuuuueeuueuuuu?\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 702*u + 7012. Let a be j(-10). What is the third smallest value in a, -618, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1736, -3470, -5190, -6890, -8564?\nAnswer: -10206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 0*l - 2 - 1\/12*l**4 + 2*l**2 - l**3. Let g(b) be the second derivative of d(b). Differentiate g(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(204)*4*6 + sqrt(204))\/(sqrt(108)*2)*-2.\nAnswer: -25*sqrt(17)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 10:49 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42661.11 months in millennia?\nAnswer: 3.5550925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-5\/12)*j\/((j\/(j**(-22)*j))\/j)*(j**(4\/19))**13 assuming j is positive.\nAnswer: j**(-3613\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -147 or -31?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2. Let u(j) = -195 + 71 + 65 + 65 - 773*j**2. Determine u(i(w)).\nAnswer: -773*w**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 2. Calculate the remainder when t(7) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/((-986)\/(-142) - 7). Solve -48 = d*y - 63*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31789051.5 minus -0.344?\nAnswer: -31789051.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 - 7*q + 3*q**2 - 4*q - 13*q**2 - 16*q**2.\nAnswer: -23*q**2 - 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-14)\/(-21)*-33)\/(4640\/232))\/((-2)\/(-5))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 o when three letters picked without replacement from {m: 2, o: 5, x: 9}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -6*((sqrt(128)*2 + sqrt(128))*-2)**2*-6)*-3.\nAnswer: -497673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 at least -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + (345\/70)\/((-38)\/(-7)) and (-7)\/(1\/((-39)\/6))?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10935 by 1.\nAnswer: -10935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**6\/120 - 2*o**5\/15 + o**4\/3 - o**3 + 64*o**2 + 1. Give g(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 5, 10, 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 43 = -2*z - p, -4*z + 77 = -p. Let n = z + -9. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, -276, -645, -1030?\nAnswer: -1431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f*l**5 + 160*f*l**2 - f + 5*l**5 + 6243*l**3 + 2*l**2 wrt l.\nAnswer: -60*f*l**2 + 300*l**2 + 37458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 301 (base 4) to base 12\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*a - 412, 0 = 3*a - 8*a - 4*t - 516. Let u = a + 349. Does 49 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k + 21*k + 139*k - 12 + 23*k.\nAnswer: 178*k - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265888?\nAnswer: 2, 7, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 3*g - f + 70 - 16, 3*g - 587*f + 54 = -592*f for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 29*q + 295. Let w(b) = 15*b. Calculate w(l(d)).\nAnswer: 435*d + 4425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/14988 and 31\/3102516.\nAnswer: 3102516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35998 is divided by 632.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = 14*l + 30 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -393814101340181.79999995 + 393814111118443. Let f = 9778261 - t. Let z = 0.2 + f. What is z rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -6, 4, -5.\nAnswer: -29, -6, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6754886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17940, -36466, -67344, -110574, -166156, -234090?\n\"Answer: -6176*x**2 + 2*x - 11766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -591299*d*g*x**3 - g*x**2 - 10*g + x**3 - 2*x**2 + 8510*x wrt d.\nAnswer: -591299*g*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129444097, 258888185, 388332273?\nAnswer: 517776361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1108387?\nAnswer: 7, 158341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - 2) + 1 + (10606 - 10668)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 5 + (4 - 3) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1187*b - 1064*b - 2952 = 0 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 bigger than -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -200*w - 14. Let z(y) = -143*y - 10. Let b(m) = 5*a(m) - 7*z(m). Let d(k) = 81*k**2. What is d(b(n))?\nAnswer: 81*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 33. Let o = h + 11.3. Let i = -0.8 - o. Are -3 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {p: 5, c: 2, x: 5, w: 4, g: 3}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 6*p**2 + 12*p - 15. Let j be h(7). Let v = j - 20. Suppose -q = -v*q - 3. Are q and 3 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178593641.\nAnswer: 79, 167, 13537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1667? (a) 1\/3 (b) -2\/3 (c) -2\/5 (d) 30 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/315*(-63714)\/444\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-3*sqrt(21)*-2)\/(sqrt(3) + (-4*sqrt(27) - sqrt(3))) + -5).\nAnswer: -25 - 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 179.6 + -45.6. Let z = 3088736609.9999891 + -3088736744. Let f = j + z. What is f rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1062b1 (base 15) to base 2.\nAnswer: -10111110011111010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**4\/12 - 10*j**2. Let w(p) be the second derivative of p**4\/4 - 2*p. Determine w(t(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(8\/6) + (-115)\/(-35)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 45275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(1 - -9))\/((-17)\/34). Let o = 11 + -8. What is the nearest to k in o, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - 2*v**4 + 4*v)*(-3*v - v + 5*v) - 2*v**2 - 3*v**5 + 514 - 60*v**5 - 471.\nAnswer: -65*v**5 - 2*v**2 + 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12932034, 25864061, 38796078, 51728085, 64660082?\n\"Answer: -5*z**2 + 12932042*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-10)*12\/3. Let c = -1.3 + -3.7. Let l = c - -1. Put 0.2, o, l in decreasing order.\nAnswer: o, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-183))\/(1\/(-8)). Let y = -156\/671 - j. Is y > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 12:43 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -12. Suppose -4*f + 21 = -3*u, -2 + w = u. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2442, 2760, 3316, 4110?\n\"Answer: 119*a**2 - 39*a + 2362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 121.39 - -0.61. Let h = -188 + v. Let y = h + 65.99999892. What is y rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 (base 16) in base 15?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 403*s + 134*s**5 - 274*s + 561*s + 1011*s**5 + 35*s**5 wrt s?\nAnswer: 23600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 + 76. Let q = 12908 + -12769.09. Let k = q - j. What is k rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 0*z + 0 + 4\/3*z**3 + 1\/3*z**4 - 4*z**2 - 1\/60*z**5. Calculate the lowest common multiple of 18 and x(8).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, z: 1, d: 1, u: 1, p: 5, k: 2}. What is prob of sequence zpdp?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4411 (base 5) to base 12.\nAnswer: -426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (8 - 4)) + -30 + 32.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 1473 = 3*l + 1484, -5*l - 31 = 3*z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 5*o + 17670 - 17662 = 0, x = -14*o - 29 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 10 = 0, -2*y = 5*p - 4*y - 16. Is 12 a factor of (-95)\/(-4) - p\/(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 355\/15 - (-2)\/(-3). Suppose -5*r + 29 = 4*a, 0*a + c = 4*a - r. Suppose a*q - 1069 = 269. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 244098 and 1481778.\nAnswer: 3438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 33\/4 + (-1)\/4. Let v = -6 + a. Suppose -v*s - 12 = -4*s. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -85934, -85931, -85928, -85925, -85922?\n\"Answer: 3*h - 85937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(80\/(-9))*(-845)\/(-975)*(-64)\/208.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-6)\/(-2)*(-65)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(-765))\/((-2)\/(-66))*(11 + -16)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1940232, -3880512, -5820842, -7761228, -9701676, -11642192, -13582782, -15523452?\nAnswer: -17464208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/(-44) + 8 + -10.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3192716\/176 - (-189)\/108 - 2\/11.\nAnswer: 2, 47, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**3 - 30*b**2 + 5*b - 30. Calculate h(10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 670472 or -2\/11?\nAnswer: 670472","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 22125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 v when three letters picked without replacement from mqqvsmqmbqsbbb?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n - 96 = 7*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 7*s**2 + 6*s + 5. Suppose 21 - 9 = -l + 3*g, -5*l = -2*g + 34. Let r be i(l). Solve -5*v = -15 + r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 19*q**2 - 22*q + 38. Let g be n(20). Let z be (g + 0)*(450\/(-96) - -5). Let f = 0 - 1. Is f smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -103, -196, -287, -376, -463, -548, -631?\n\"Answer: y**2 - 96*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + (-9)\/(-6))\/4. Put -1\/2, g, 3 in decreasing order.\nAnswer: 3, g, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-18)*((-18)\/(-140)*-21)\/15.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 330.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34470 - 34470.5. Let w = 0.3 - 0.5. Let v = w + -0.8. Which is the third biggest value? (a) k (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.35 - 0.05. Let b be ((-6)\/8)\/(396\/96). Let a = -3 + -1. Sort a, b, k in ascending order.\nAnswer: a, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/5? (a) -0.4 (b) 1\/4 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnlfs. Give prob of sequence fs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 52b - 6e?\nAnswer: 4ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.99 - -0.01. Let t = j - 4. Let a = 5 + -7. Does t = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7))**(3\/26)\/((q*q**(-2\/15))\/q**(1\/3))*(((q\/(q*q**0*q))\/q)\/q)**(-2\/53)*((q\/q**1)\/q)**(-20) assuming q is positive.\nAnswer: q**(1414121\/72345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 738*s**2 - 198*s - 1303. What is the hundreds digit of r(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8908831?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -12*3\/(-4) + -4 + 0. Let u(s) = -s**2 + 9*s - 2. Let l = -2 - -11. Let c be u(l). Sort c, k, -1, -4 in descending order.\nAnswer: k, -1, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 60 = 2*l, l - 50 = 5*l - 10*t for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 772*h**3 + 367*h wrt h.\nAnswer: 4632*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011100100 (base 3) in base 2?\nAnswer: 1010011000100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 15*h + 1. Calculate the remainder when 63 is divided by s(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**4 - l**2 + 7. Let k(p) = -2*p - p + 2*p**3 - 3*p**3 - 4*p**3. What is -6*h(u) + 4*k(u)?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.41 - -0.11. Let s = -55 - -50. Sort -4, -2\/9, s, j in ascending order.\nAnswer: s, -4, j, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 3:50 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 572441*t**3 + 11700162.\nAnswer: 1717323*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(18515\/370) - ((-20)\/35)\/((-2)\/(-1)).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) -2 (c) -14 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 11:07 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v**5 - 458*v**3 + 14*v**2 + 967*v - 20.\nAnswer: 40*v**3 - 2748*v + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9578\/17 at least as big as 563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.95 + -122.95. Let k = 122 + w. Let b = 1.8 + -1.7. What is the closest to b in -5, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -172, -1, -5\/3, -0.3, 1 in ascending order.\nAnswer: -172, -5\/3, -1, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -17*b - 98. Let v be m(-6). Let q(a) = 11*a**2 + 37*a - 40. Let i(y) = 17*y**2 + 36*y - 41. Let s(r) = v*i(r) - 6*q(r). Factor s(o).\nAnswer: 2*(o - 38)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**3\/6 - 9*x**2\/2 - 2*x. Let z be i(7). Let u = 2 - 3. Does z = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11010111101000001101 (base 2) to base 8\nAnswer: -3275015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 332793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10458 (b) 5 (c) -5589\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -58e2 - -88?\nAnswer: -5859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 958?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3\/11 + 36*m**2\/11 - 720*m\/11 = 0 for m.\nAnswer: -30, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o*o*o\/(o*o*o\/(o*(o**2*o)\/o*o))))**(-1\/15)\/(o*o**(1\/11)*o**6))\/((o\/((o**(-9)*o)\/o))\/o**12)**(-3\/17) assuming o is positive.\nAnswer: o**(-6773\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/38463 and -44\/6957.\nAnswer: 89195697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - -0.35. Let d be 2 - 7 - (-23)\/4. Which is the third biggest value? (a) d (b) -2\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggffggrrg. What is prob of sequence fg?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3)**(-29) assuming t is positive.\nAnswer: t**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3.8163+2956640\nAnswer: 2956643.8163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a - 1040 = -18*a. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47125 is divided by 1147?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -b + 3*b. Let x = 2 + b. Is 3\/(-1)*-1*x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*m**3 + 0*m**2 - 81*m**3 + 0*m**2.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4950*b - 4962*b - 108 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03339*6617.\nAnswer: 220.94163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/23 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/3 + (-9)\/(-3). Which is the biggest value? (a) -0.1 (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -8*p**3 - 2*p - 11. Let o be (-8)\/6*(2 - -1). Let j(t) = -3*t**3 - t - 4. Let u(n) = o*y(n) + 11*j(n). Find the second derivative of u(b) wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 11. What is the remainder when b is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*a - 40 = 0, 4*w - 4*a + 22 = -6*a. Let t = -422.5 - -423. What is the nearest to w in 0.02, t, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y + 57. What is u(0)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6*p - 5*p = -4, 3*m = -5*p + 36. Let o be ((-4)\/m)\/((-3)\/((-105)\/(-10))). Solve -6*h = -o*h - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v\/((v**(1\/21)*v*v*v)\/v)*v*v))\/v))\/v**8 assuming v is positive.\nAnswer: v**(-127\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 266, 530, 818, 1142, 1514, 1946, 2450, 3038?\nAnswer: 3722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64113079 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -132, -267, -402?\n\"Answer: -135*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2397*m**3*x**2 - m**3*x - 24*m**3 - m**2*x + m + 13784*x**2 + 2*x wrt m?\nAnswer: 14382*x**2 - 6*x - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20103, -40139, -60175, -80211, -100247, -120283?\n\"Answer: -20036*q - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32972761 a multiple of 1621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8.62 times -0.076\nAnswer: -0.65512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -116 + -151?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22546\/3 + 156190\/21. Let h = q - -78. Sort -0.4, -2, h in ascending order.\nAnswer: -2, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**3 + y**3 - 4*y**3)*(9*y - 2*y + 0*y) - 3*y**4 + 1 - 5 + 3 to the form j*y**2 + v*y**4 + a*y + s + d*y**3 and give v.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -56, 1\/26, 3, 1\/4 in descending order.\nAnswer: 4, 3, 1\/4, 1\/26, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 622191.2 centuries?\nAnswer: 746629440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -28, -40, -50, -58, -64, -68?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) + -2*(sqrt(224) + sqrt(14) - sqrt(14)))\/(sqrt(7) - (sqrt(28) - sqrt(7))*2))**2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*d**2 - 30*d**2 - 4 + 1 + 8 + 7 + 89*d**2.\nAnswer: 31*d**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 34988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -321 + 325. Find the common denominator of 29\/24 and (-15)\/(30\/f) - 41\/(-22).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63064 divided by 63064.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 44324395 times 5?\nAnswer: 221621975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2292 is divided by 189.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408 = -71*p + 207*p. Let y = 1 - 0.9. Which is the fourth biggest value? (a) -1\/7 (b) y (c) p (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 0*w - 4*w)*(-2*w**2 + 2*w**2 + 2*w**2) + 3*w**3 - 2*w**3 - 3*w**3 + 2*w**2 + 249*w**3 + 22*w**3 + 322*w**3.\nAnswer: 589*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 - 14*w + w**2 + 409*w**3 + 14*w.\nAnswer: 409*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -631*w = -607*w - 168 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72271109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -141679 + 141679.350124. Let q = g - 0.35. What is q rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 0 + 1\/210*h**5 + 0*h - 1\/84*h**4 - 4*h**2 + 1\/420*h**6 - 1\/21*h**3. Factor t(c).\nAnswer: 2*(c - 1)*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19 + 5*x**3 + 15 - 443*x + 445*x + x**2 wrt x?\nAnswer: 30*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/3 - 143\/(-39). Let p be (0 - 8\/z) + 8. Put -5, 1, p, -3 in descending order.\nAnswer: p, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-7))\/(4 + (-25)\/7)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3 = 6. Let q(k) = -5*k - 4. Let h be q(v). Do 11 and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 9. Let d be l(-7). Suppose 4*b - 2*b = 0. Solve d = -2*j - b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 + l - 3. Let g be t(2). Suppose 0 = -k + g*k - 12. Let f(h) = -h + 5. Let q be f(-7). Solve 0 = k*p + 2*p - q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-90)*(-35)\/(-7)*42\/4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 99243.43?\nAnswer: -595460.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 2*r + 57. What is the units digit of v(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30262 is divided by 110.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/1643064 and 28\/6467.\nAnswer: 47648856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1063583 is divided by 4992?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = -5*a + 5*x, 2*x - 28 = -4*a. Suppose 2*m = -u - 7, 0*m + 41 = -a*u - 4*m. Suppose 2*s + 2*s = -32. Are u and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -349 or -509?\nAnswer: -509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 25 - 25)*(4*o - 4*o - 4*o**2)*(5*o**2 - 3*o**2 + o**2).\nAnswer: 36*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b - 5c5?\nAnswer: -5b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -38. Suppose -3*k - k = 2*i - n, 3*i + 1 = 5*k. What is the first derivative of 4*l**k + 3 - 14*l**2 - 21 wrt l?\nAnswer: -20*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 194398 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 561.91 and 0.09?\nAnswer: 50.5719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 3*x + 18, x - 2*q + 1 = 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16425, -32671, -48903, -65115, -81301, -97455?\n\"Answer: f**3 + f**2 - 16256*f - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 631 = -135. Let k = 4 + j. Suppose r = 4*r - k. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**2\/3 - 1994*m\/3 + 3980\/3 = 0.\nAnswer: 2, 995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212557297 divided by -3.\nAnswer: -212557297\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1185*b = 1347*b + 3726 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 12:41 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1162 + 1981 = 709*g - 402 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -l - 9, -13*g + 12 = -4*l - 17*g. Let q(p) = -p**3 + 12*p**2 - 6*p - 6. Let n be q(11). Put 1, l, n in ascending order.\nAnswer: l, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*m - 360, -m = z - 2*z - 170. What is the remainder when 17 is divided by z\/(-20) + (-2)\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 j when four letters picked without replacement from {w: 2, l: 3, j: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 - -14. Let z be 522\/w - 2\/10. Let a = 47\/4 + z. Which is smaller: -3 or a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 - -38. Calculate the remainder when o is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-13)\/((-169)\/312).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v = 7*v - 2358 + 2430 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 6 - (5 + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3 = -1. Suppose -5*j = 4*d + 1 - 15, 0 = -5*d + 4*j - 3. Put -8, d, b in descending order.\nAnswer: d, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - -11. Suppose 13 = 2*d + g, -6 + 1 = -4*d + 5*g. Let x be d\/4*(1 - -3). Solve -5*w - 28 = 4*b - 11, n = -3*w + x*b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*i = 0. Suppose -11*n + 535 - 139 = i. Calculate the greatest common divisor of 90 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -87, 21, -0.1, -2\/7, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1472575\/6 - 242577. Let i = 2838 - h. Let p = -42359\/13560 - 2\/1695. Find the common denominator of p and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8122.508 decades in millennia?\nAnswer: 81.22508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l + 23 = 0. Determine k, given that -3 + 10*k - 20*k - 72*k**2 - l*k = 0.\nAnswer: -1\/3, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -4, 4, -6, 799, 1 in descending order.\nAnswer: 799, 13, 4, 1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -m + p - 9, 4*m + 15 = -5*p. Suppose k + 2*r - 4 = -m, -5*k + 3*r = -59. Calculate the greatest common divisor of 110 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from sjsjjjtjsjeesjjetjj.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (19\/(-57))\/((-2)\/1578) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 56.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 226 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 + 7 - 3*o**2 + 6*o**2 - 6 - 2*o**2. Let d(k) = -6*k**2 - k + 17. Let p(x) = -3*d(x) + 15*l(x). Determine s so that p(s) = 0.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*36\/(-495)*(-2)\/4.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.2, 1\/5, 2, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 7 + 9 + 2007*c - 2020*c + 1 + 2*c**2. Give y(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80306.45 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9038?\nAnswer: 2, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 12:01 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fo when two letters picked without replacement from {f: 3, o: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1672409 is divided by 334479?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 1896.\nAnswer: 13272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1062 - -1072. Calculate the greatest common factor of 140 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66195 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (16 + -7 + 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 214804*n**2 + 81*n + 7. Let f be y(-3). Round f to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 - 2*a + 7. Let p be q(-4). What is the greatest common divisor of p and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -396\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1731, -0.8, 0, -0.2, 1\/12, 2.\nAnswer: -0.8, -0.2, 0, 1\/12, 2, 1731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/247*(3170\/20 - 9).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z**3 - 18*z**2 - 79*z - 42. What is the hundreds digit of n(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39 and -145\/756.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d + 24*d = 24. Do d and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 1, 3 in ascending order.\nAnswer: 1, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/10*(-1 - 1). Let i(r) = r**3 - 29*r + 2*r**2 + 2 + 0*r**2 + 30*r. Calculate i(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5735794100 rounded to the nearest one million?\nAnswer: -5736000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192660 is divided by 38530.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 times -5506?\nAnswer: 209228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**6\/15 - z**5\/10 + 5*z**4\/24 + z**3 + 188*z**2. Calculate the remainder when 69 is divided by r(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188287136 a multiple of 1719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 367408096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15751 - 2814?\nAnswer: 12937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o - 5. Suppose 154 = -o*a - 276. Is a*(-3)\/2 + -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22520 is divided by 520?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -390*r + 51235 - 51235 as k*r + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-12) - ((-606)\/72 - (2 + 10\/(-5)))?\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680777 divided by -10?\nAnswer: -680777\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2 - 2885764*d + 2885765 = 0. Calculate d.\nAnswer: -2885765, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**6\/165 - 57*x**5\/110 + 261*x**4\/22 + 841*x**3\/33 - 442*x. Find m such that o(m) = 0.\nAnswer: -1, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c = 66*c - 553 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -12*m + 7*m. Suppose -4*o - 132 = m*o. Which is smaller: -8 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7775*y**3 - 36862?\nAnswer: -23325*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**2. Let c(t) = 7515*t - 1. Determine c(r(d)).\nAnswer: -22545*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 11*j**2. Let n(t) be the second derivative of 1\/3*t**3 - 170*t + 0 + 0*t**2. Give n(q(c)).\nAnswer: 22*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 9*o**2 - 480*o - 1381. What is i(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 1:48 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/24)\/((-1)\/2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 + 2*p + 1. Let d be q(2). Let f = 2 + d. Suppose 4*x + x + 16 = 3*j, -4*x + 5*j = 18. Sort x, -5, f in decreasing order.\nAnswer: f, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000926465 rounded to 6 dps?\nAnswer: -0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55937523?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**4\/7 + 102*u**3 - 2181*u**2\/7 - 2892*u\/7 = 0.\nAnswer: -241, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6)*(-3)\/((-3)\/(-68)))\/(33\/66)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 8*s**2 - 2*s**3 + 8*s**2.\nAnswer: -2*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3705 and 1755?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2. Let u(i) = -54*i**2 + 24*i**2 - 42 + 42. Give u(y(x)).\nAnswer: -120*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 v, and 1 c when three letters picked without replacement from {p: 1, c: 1, m: 1, v: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1792235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*m + 641 = 245 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - h - 1. Let v(y) = 8*y**2 + 4*y + 11. Let c(u) = 14*t(u) + 2*v(u). Let o be c(4). Let r = o - 13. Let m(z) = 3*z - 2. Determine m(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 11:23 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 18592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 151 and 5530979?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**2 + 2 - p**2 - p**2 - p**2 - 2*p**2 + 2*p**2 + (4 + 2 - 4)*(-3*p**2 + 5*p**2 - 3*p**2) + 0*p**2 - 2*p**2 + p**2 - 3*p**2 + 4*p**2 + 0*p**2.\nAnswer: -2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 2\/41, -1\/7, -11, 1624?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 3*q + 3. Let z(j) = -j**2 - 4*j - 4. Suppose -4*n + 9*n = 15. Let p(b) = n*z(b) + 4*i(b). Let c(s) = 2*s**2. What is p(c(o))?\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*1\/(2\/8). Let r be (6\/q)\/(2\/(-4)). Let k be 2\/(-11) + 712\/(-440). Is k > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*a**2 - 12*a*o**2 - 19*a*o - 15*o**2 + 3*o - 20 wrt a?\nAnswer: -6*a - 12*o**2 - 19*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7776 and 22752?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 853198 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 o when two letters picked without replacement from hhgohgw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 - -4 - (157 + -96 - -11).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 121642082 and -8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**2 - 44*u - 8. Let p be w(-14). What is the derivative of 57 - 65 - 17*f + p*f wrt f?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Suppose -4*p - 2 + 34 = h. Calculate the remainder when 22 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -402 (base 5) to base 13.\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3094*o - 191195 = -2331*o - 80663 + 68493 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*k = -2*k - 28, -5*f + 56 = 4*k. Let y = -7 + f. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apaaapaaaa. Give prob of sequence apap.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*a = -13*a - 432 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5 = -f, -b + 13 = 5*f - 1. Suppose 8 = -s - 5*h, h - 2*h = 5*s - 8. Sort s, b, -5.\nAnswer: -5, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73141551?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h. Let w(v) be the first derivative of -4*v**3\/3 - 25. Give c(w(z)).\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -13*j**6\/30 + 2*j**3 - 89*j**2. Let u(m) be the first derivative of t(m). Let y(i) = -i**2. What is u(y(r))?\nAnswer: -156*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 510 and 1504410?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 21 - 5*m + 6*m**3)*(-2*m**2 + 0*m**2 - 6*m**2).\nAnswer: -48*m**5 + 40*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s = -s. Which is the smallest value? (a) 0.4 (b) -0.18 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 10*w. Let y(x) = 3*x**2 - 14. What is o(y(a))?\nAnswer: 30*a**2 - 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 15) in base 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -87, -2, -20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 7 = -3*z + 6*f, -2*z = -3*f - 5. Let d(r) = 3*r - 6. Give d(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*j**3 - 181*j**2 + 181*j**2)*(-6 + 1 + 3) + 2*j**3 - j**2 + j**2 + 3*j**3 - 3*j**3 + j**3.\nAnswer: 133*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - 7*b + b + (4*b - 2*b - 3*b)*(1 - 2 + 3))*(-61*b**3 - 190 + 190) to l*b**4 + s + h*b**2 + j*b**3 + m*b and give l.\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011 + -10011010000?\nAnswer: -10100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5691776 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 18. What is y(-12)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (67\/(-268)*(-2)\/(-2))\/(3\/16)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -201 + 372. Suppose -4*b + 7*b = s. List the prime factors of b.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 977*m**5\/4 + 1791*m**2 + 67*m + 13. Find the first derivative of f(k) wrt k.\nAnswer: 14655*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 0 + 1\/70*q**6 + 0*q**3 - 4\/105*q**5 + 7*q**2 + 0*q + 1\/588*q**8 - 2\/21*q**4 + 8\/735*q**7. Determine m, given that v(m) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22040120 (base 5) to base 7.\nAnswer: 1421016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 2*g - 22, 2*g = -3*q + g - 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5\/5 + 66246*y**4\/5 + 1097798*y**3 + 143752594*y**2\/5 + 944550648*y\/5 - 1289300096 = 0.\nAnswer: -33040, -29, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, q: 1, u: 2, s: 2, z: 1}. What is prob of sequence zuue?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 6558, 2, -1, 4.\nAnswer: -1, 2, 4, 15, 6558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18704 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 190 = 2*b, 136 = 3*b - 3*t - 140. Suppose 3*h = -5*m + 174, m + 0*m - 30 = -3*h. Suppose 5*k = b + m. What is the highest common factor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3776 + 3615.7. Let d = j + 86.6. Round d to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6074 - 6071. Solve -5*r + 20 = 2*x, 2*x - r + 13 + n = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.57 + -8.45483562\nAnswer: -5.88483562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a7183 (base 11) in base 16?\nAnswer: -74b59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.64 and 2?\nAnswer: -3.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-1*-5 - (0 + sqrt(3) + 0)) + 2 + -2 + (-1*sqrt(3)*-6)**2.\nAnswer: 4*sqrt(3) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 173844887 to the power of 1\/2, to the nearest integer?\nAnswer: 13185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/120048 and 137\/30012.\nAnswer: 120048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 262*u - 9734. What is l(-32)?\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15863038 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76497425?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 96 = -9*n. Suppose -5*i + n - 9 = 0. Find the third derivative of l**2 - 41 - 2*l**3 - 6*l**3 - i*l**4 + 19 + 0*l**4 wrt l.\nAnswer: -72*l - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - v = -5864, -z - 2*v - 3521 = -4*z. Suppose 0 = 5*l - z - 317. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2087 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(847)*-2 - sqrt(140)\/sqrt(5))**2 + -1*sqrt(49)\/(-6*sqrt(70)\/sqrt(10)).\nAnswer: sqrt(7)\/6 + 3087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -10 - m + 6 + 3. Let x be f(-7). Let v = x - 4. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37276 by 6.\nAnswer: 18638\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65340*j**2 - 13*j + 3373 wrt j?\nAnswer: 130680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 179, 182?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-4)*(-10 + 14). Let d be v\/(-20) + 217\/4. Suppose 11*o = 13*o - d. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r**3 + 273*r**2 - 431*r - 2187. Calculate b(-56).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, o: 1, j: 3, a: 3, x: 2}. Give prob of picking 2 a, 1 o, and 1 j.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 - 50 = -4*k + 2*w, 4*w = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/24*(-1)\/(28\/(-8))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321.562us to seconds.\nAnswer: 0.000321562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 195872 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15 (b) -4 (c) -142 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*h**4 - 8*h**3 - 108*h**2 + 96*h - 16.\nAnswer: 4*(h - 1)**2*(h + 2)*(9*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361*c + 122*c + 594*c + 678*c.\nAnswer: 1033*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**7\/3780 - b**6\/1620 - b**5\/270 - b**3 + 4*b**2. Let f(r) be the first derivative of v(r). Suppose f(i) = 0. Calculate i.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*u + u - z, -z = -3*u + 7. Suppose -w = a - 5 - 3, 0 = -a - 5*w + 16. Differentiate u - c - c - a*c with respect to c.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 875aa (base 15) to base 10\nAnswer: 429910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 2. Let z be l(8). Let a = 0 - z. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3806*r - 2*r**2 - 1 - r**3 + 2000*r + 1890*r as w + o*r + h*r**3 + v*r**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 0.7278?\nAnswer: -0.21834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgc when three letters picked without replacement from {m: 1, g: 1, c: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n - 30292 + 31332 = 0. Solve -4*i + 3*r = -26, -50*i - 6 = -n*i - 2*r for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -48, -8, -5 in ascending order.\nAnswer: -48, -8, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -221.5 minus -1?\nAnswer: -220.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1995790.\nAnswer: 2, 5, 109, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12f + -8?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/612*(26 + -1 + (-613 - -579))?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/7 + 1\/4. Let u = b + -1\/14. What is the closest to u in 3, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukzkzuzzjuuuuuzzz. Give prob of picking 1 k, 1 j, and 2 z.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 8*m. Let i(f) = -5*f - 2. Let s be i(-2). Suppose -s*a = -3*a - 25. Give v(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310400946?\nAnswer: 2, 3, 307, 56171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -840*p**2 - 132*p + 157. Calculate q(2).\nAnswer: -3467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 7. Let l(c) = -c - 1. Let j(y) = -h(y) - 6*l(y). Let s(z) = -3*z**2 - 6*z - 2. Suppose 8*o - 4*o = -8. Let m be s(o). Determine j(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10024811999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001044942 to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/(162\/(-12)) + (-30009)\/(-3) a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 27215251 to the nearest one hundred thousand.\nAnswer: 27200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9564998 and 3051?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 - 3)*(-k**2 - 2 + 2 + (0*k + k + 0*k)*(-1 + 1 - 2*k))*(6*k**2 - 6*k**3 - 6*k**2).\nAnswer: -126*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*y + 1046753 = 0, -5*y + 12 = -2*y. Let q = a + 3196741. 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 the ten thousands digit of 798492480?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.683 and -5.\nAnswer: -18.415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxjxzzzxjdxzzxdjxmz. Give prob of picking 3 z and 1 d.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -90, 1, -3, 5 in ascending order.\nAnswer: -90, -3, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -958 - -959. Let b(o) = -o**3 + o - 1. Let v(m) = -19*m**3 - 4*m + 4. Determine y*v(d) + 4*b(d).\nAnswer: -23*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -486, -880, -1276, -1674, -2074, -2476?\nAnswer: -2880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 3, r: 2, z: 2, c: 6}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10, t: 2}. What is prob of picking 2 t?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -192*r**4 + 154*r**2.\nAnswer: -4608*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721797211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 16*q**2 + 7*q - 5. Let v(t) = -8*t**2 - 4*t + 3. Calculate -5*v(k) - 3*x(k).\nAnswer: -8*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (198\/3)\/2 + -3. Suppose -j = -p + 2, -4*j = 5*p - j + x. Let g(d) = 2*d**2 - 1. What is the tens digit of g(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 16*s = 6825. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-12))\/(2\/(-27)*3). Let w = 0 + 0. Suppose w = -2*z - 0*z. Sort -2, x, z in decreasing order.\nAnswer: x, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l. Let i(d) = -25*d**2 - 26*d + 25. Let g(r) = 5*r**2 + 5*r - 5. Let c(y) = 11*g(y) + 2*i(y). Let k(t) = c(t) + 3*o(t). What is f in k(f) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2331829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, 51, 241, 517, 885, 1351, 1921?\nAnswer: 2601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*o - 102 = -101*o. Solve 11 - o = 8*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.52 * 293.869\nAnswer: -1328.28788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**9\/1080 - n**6\/240 - n**4 + 15*n. Let o(d) be the third derivative of u(d). Find the second derivative of o(b) wrt b.\nAnswer: 168*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.2, 83, 0.2.\nAnswer: -0.2, 0.2, 6, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 32 (b) -27\/5 (c) 2 (d) 0.3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/4)\/((-15)\/18*(-3)\/340). Is u at least -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*l**3 - 40*l**3 + 55*l**3.\nAnswer: -19*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, 54, 1706 in ascending order.\nAnswer: -93, 54, 1706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**4\/24 + 7*c**3\/2 + 13*c**2. What is l(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 4*t - 6*t + 17, 4*c - 8 = t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 3*n - 140. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 8 = 3*i, -2*i + i + 1 = 0. Let p = -6 - a. Let x = -27 - -53. Solve -3*r + 2*o = -p*r - 8, -r = -5*o - x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -20. Let z(h) = -17. Let c(t) = -t - 18. Let v(a) = 6*c(a) - 7*z(a). What is the remainder when v(-5) is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72618.31 hours to minutes.\nAnswer: 4357098.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/((-16)\/(-132)))\/(-7*(-36)\/168)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 103*j**2 - 66*j + 574. What are the prime factors of z(97)?\nAnswer: 2, 17, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 + 4)*(-10 + -1). Let a = z - -2. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 114, 209, 304, 399, 494?\n\"Answer: 95*r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 24. Let k be n(29). Suppose 8*f - 4*g = 4*f + 72, -33 = -3*f - 4*g. Suppose -3*i - f + 105 = 0. Sort i, k, -4.\nAnswer: -4, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 4*z**2 - 6*z + 9. Let l be j(5). Let u be (l\/8)\/(1\/(-1)). Let k = -0.4 - -0.2. What is the smallest value in k, 0.3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 0.4. Let m = i - -0.8. Which is the second biggest value? (a) -2\/7 (b) m (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2999 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (3 + 6 + (-1 - 11) - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -919*t - 614*t + 87381 = 0 for t.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 6, -7, -14, -9, 14, 61?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.301 - -0.301. Let f be 1\/(-4) - 21\/(-20). Which is the closest to j? (a) 4 (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 12*u - 7*u, 2*p = 3*u + 274. What is the remainder when p is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 90, 4, -3, 3, -7, -4 in descending order.\nAnswer: 90, 4, 3, 2, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/480912 and 67\/168.\nAnswer: 3366384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8295 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13b34a7 (base 14) to base 11\nAnswer: -544a716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3))**(-1\/37)*(s**(-6))**32)**(1\/25) assuming s is positive.\nAnswer: s**(-7101\/925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15225*u + 576657 = 3918*u for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -8*f + 7. What are the prime factors of b(-3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 160.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27475 and 3801?\nAnswer: 14918925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - v - 1. Suppose 0 = q + 3*q - 20. Suppose 0*i + q = -5*i. Let f be m(i). Solve -4*r - 20 = s, 0 = 6*s - 3*s - f*r - 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3532008 (base 9) to base 13\nAnswer: 51b903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 14. Let u(x) = 9*x**2 - x + 3. Is u(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**1)**36)**(-2\/3))**(3\/5) assuming a is positive.\nAnswer: a**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from {i: 3, f: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 6:45 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 509 = m, 5*z + 4*m + 18 - 657 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*q = -32*q + 187*q - 85*q + 29070 for q.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.27 in 0.1, -1, -0.5, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 + -29. Suppose -132*v + 1283 + 33 = -38*v. Calculate the remainder when m is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16686 is divided by 138?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 140149608 to the power of 1\/3, to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -2\/21, -0.3, -0.8, 423?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*b*x**2*z - 4*b*x**2 + 11*b*z - 2*b + 2*x**2*z + 10*z + 10 wrt x.\nAnswer: 96*b*x*z - 8*b*x + 4*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 0, -2565 + 756 = -3*y - 4*l. Let m = -175 + y. List the prime factors of m.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -76. Suppose 4*j - 6*j + f = 3*p, -p + j + 21 = 0. Let s = -4152 - -4171. What is the greatest common factor of s and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 60 = 5*x, 8*u = 3*u - 3*x + 64. Calculate the remainder when 34 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j + 8. Let x(r) = 1. Let l(o) = h(o) - 3*x(o). Give l(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -247a79b - 11?\nAnswer: -247a7ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 20*p**2 + 5. Let r(u) = 19*u**2 + 4. Let d(x) = 19*x - 42. Let h be d(2). Calculate h*j(g) + 5*r(g).\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 - 3*t**2. Let c be r(2). Let d be -1*(-5)\/((-10)\/c). Is 9 a factor of 156\/9 - d\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(2 - (-31)\/(-15)). Suppose -2*n + 3*i = -q, -1 = -i - 0*i. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73991 = 3*s + q - 2*q, -2*s + 49309 = 3*q. List the prime factors of s.\nAnswer: 2, 11, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3502\/(-309)*(-3)\/(-2)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.754 + 4\nAnswer: 4.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -5. Let b = c - -0.6. Let h(m) = -m**3 - m**2 + 15*m - 15. Let r be h(1). What is the second biggest value in r, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from iiwwwkwkyikww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 2 - (1291 - 1277).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2)*(-3*g**2 - 2*g**2 + 4*g**2) + (1 + 0 + 1)*(-2*g**2 - 2*g**2 + 7*g**2) + 2*g**2 + g**2 - g**2.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - p = 2, -15*y + 2*p + 12 = -17*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 88 = 122. Suppose -2*t + 3*w = -t - s, 0 = -2*w - 4. What is the greatest common divisor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.5 and -0.4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -62955779, -62955778, -62955777?\n\"Answer: c - 62955780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 bigger than -260\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*v + 0)*(2 - 4 + 1)*(-9 + 9 - 15*v) - 2 + 3*v**2 + 2.\nAnswer: 33*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/72*16\/(-40).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 0.0167?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11332103?\nAnswer: 89, 157, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*5*1\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (178\/(-1246))\/((-4)\/70).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-7) + 12102\/21. Suppose v = -3*v + b. What is the highest common divisor of v and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5849 is divided by 370.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7*z - 150. What is a(-23)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2042 = -4*s + 2*n, -5*s = 54*n - 56*n - 2554. Calculate the remainder when s is divided by 137.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b*b\/b**17)\/b*b))*b*(b\/(b*(b*b\/(b\/(b**(-12)*b)))\/b)*b)\/b)\/((b**15*b)\/(b*b**16\/b)) assuming b is positive.\nAnswer: b**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/2))**(-19) assuming y is positive.\nAnswer: y**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 2*k**3\/3 - 137. Let z(d) = -3*d**2. Give z(n(g)).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117576, 470187, 1057872, 1880631?\nAnswer: 2938464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 7*d - 10. Suppose 4*w = l + 13, 3*w + 9 = -3*l - 0*l. What is the lowest common multiple of w and t(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w + 5*w + 45*w**2 - 30 - 46*w**2 + 7*w. Let p be z(17). Sort p, -2, 3 in increasing order.\nAnswer: -2, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2*h + 1)*(-1 - 2 + 0) + (0*h + 2*h + h)*(-666 - 980 + 1939).\nAnswer: 885*h - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-5))\/(2\/5). What is the closest to -8 in i, 1\/4, 0.3, 3\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.039 + -19.961. Let v = -19.8642 - -0.0642. Let c = q - v. Put -0.1, c, 1 in descending order.\nAnswer: 1, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*q**3*y*z + 434*q**3*y - 2*q**2*y**2*z + 34*q*y**2 + 391*y*z wrt z.\nAnswer: 6*q**3*y - 2*q**2*y**2 + 391*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -29*g + 3. Let k(s) = 72*s - 8. Let n(o) = 12*f(o) + 5*k(o). Let r(m) = 107*m - 1. Let i(b) = 215*b - 2. Let w(h) = i(h) - 2*r(h). Calculate w(n(q)).\nAnswer: 12*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2)*q)\/q**(5\/3))\/((q*q**(-4))\/(q*q**(-3\/4)))*(q\/(q\/q**(-2\/5)*q)*q*q**4*q)**(1\/14) assuming q is positive.\nAnswer: q**(2483\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0088636 rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/332 and -11\/60?\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + 343. Let m be (d\/(-2) - -4) + -4. Let x = 347 + m. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w + 0*w + 3*w + w + 2*w - 6*w + (0*w + 5*w - 4*w)*(4 - 4 - 1) - 4*w + 2*w + 5*w in the form c*w + q and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -185 + 122. Let a = 149 - i. What are the prime factors of a?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -11. Let l = i - 16. Solve c = l*c - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6165)\/145494*2\/5\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j + 280 = 0. Let g = j + -31. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z + 16. Let j be i(-8). Solve j*v = -2*r - v + 3, -3*v = -2*r + 23 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-5) - 1\/(-5). Suppose c = -6*z + 2*z + 16. Sort -3, 0.3, z in ascending order.\nAnswer: -3, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p + 57. Let d(f) = -108*f. What is k(d(n))?\nAnswer: 216*n + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (235*f**3 - 658*f**3 + 270*f**3)*(-2 + 0 + 1 + (1 + 0 - 2)*(0 - 1 - 1) - 2 + 6 - 2)*(0 - 3 + 4).\nAnswer: -459*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274987580 divided by -5.\nAnswer: 54997516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 + 3*t + 1. Let h be l(5). What are the prime factors of ((-549)\/(-6))\/(11\/h)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.42 + 0.02. Let x = 0.4 - 0.3. What is the nearest to -2\/3 in 0, t, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16012512 and 258.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18*(3 - 30\/9). Let b(s) = 2*s + 3. What is b(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -9, -4*j + j + 5*p - 3 = 0. Find the third derivative of -3*k**4 + 0*k**j + 2*k**2 - 2*k**3 + 2*k**3 wrt k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*(-9)\/75*100. Suppose -3*v + 0*v - a + 9 = 0, 3*v + 9 = 5*a. What is the highest common divisor of v and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1363650 by -454550.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 11. Let w be 5*a*(-2)\/(-10). Let y(c) = 4*c - 6. List the prime factors of y(w).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**3 - 22*h**2 + 20*h + 31. Let m be i(6). Which is the fifth biggest value? (a) 3 (b) -1 (c) -1.7 (d) -5 (e) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from {u: 2, m: 1, n: 1, t: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -29, -0.4, 46?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86481*c**4 + 2*c**2*y - 979*c + 3*y + 10 wrt c?\nAnswer: -1037772*c**2 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-8 + (22 + -9 - 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 584 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*i - 22 + 318*i**3 + 101 - 5*i + i + 58*i**3 wrt i.\nAnswer: 2256*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4959850 rounded to the nearest 10000?\nAnswer: 4960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*d = -62*d + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/sqrt(176) + sqrt(17) - (-1 + 0 + sqrt(17))**2.\nAnswer: -18 + 13*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + -2. Let w = -86.39 - -86. Let k = 0.01 - w. Which is the third smallest value? (a) 3 (b) k (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 - (450\/20)\/((-170)\/(-68))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*d - 727, 2*d + d = 2*l + 734. Let k be (-11 + 2795\/(-182))*2 + 4\/(-14). Let i = k + d. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 55, 33, 9, -17?\n\"Answer: -o**2 - 19*o + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w + 2. Let b be t(0). Let c(d) = -d + 2. Let i(g) = -g - 5*g + 11 + 0. Give b*i(h) - 11*c(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-10 + -6 + 9)) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13214025 and 12?\nAnswer: 52856100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*f**2 - 19594292*f + 14695728.\nAnswer: -4*(f + 1224644)*(4*f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -471\/10 + 423\/10. Put i, 0.3, 2, -2\/9 in ascending order.\nAnswer: i, -2\/9, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -44?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**5\/5 + 4*t**4\/5 + 48*t**3\/5 - 64*t**2\/5 - 256*t\/5 = 0. Calculate t.\nAnswer: -4, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*93\/(-21)*4\/(-16)*4?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*r = -3*r - 150. Suppose -5*w = -j - 6284, -12*w + r*j = -11*w - 1252. What are the prime factors of w?\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v. Let s be 3 + (-5 - 8) + 3. Let o(t) = -12*t. Give s*b(j) - 3*o(j).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30*(-37)\/259*7.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 353 + 22?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101 + h**4 - 1514*h + h**2 + 1514*h to the form n + c*h**2 + b*h + v*h**3 + a*h**4 and give n.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 196, 2\/9, 88\/9?\nAnswer: 88\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 - 240*f - 704. Let p be s(-3). What is the greatest common factor of 2006 and p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r + 3. Let z(w) be the first derivative of w**2\/2 - 2*w - 20. Let c = 1 - -4. Let y(v) = c*z(v) + 2*h(v). What is the derivative of y(l) wrt l?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 18*s**2 + 2*s. Let n(f) = -4736*f. Give h(n(b)).\nAnswer: 403734528*b**2 - 9472*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2275, -2257, -2219, -2155, -2059?\n\"Answer: q**3 + 4*q**2 - q - 2279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 3\/5 (b) -21561 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -2)\/(129\/774). What is the highest common divisor of 1098 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3e - 36e?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -11. Let v = 12 + n. Let h = -3 + v. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2248 + 1126 + 1135 - 91*b as j + g*b and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -523707\/959504 - -10\/8567. Calculate the common denominator of p and -59\/56.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -10*s + 10. Let p(b) = 2*b - 2. Calculate 2*o(u) + 11*p(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p - 9. Let n be r(5). Let s(u) = u + n - 6 + 2. Is s(4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.35 - 24.35. Let x = -22.9 - i. Let f = x + -1. Which is the second smallest value? (a) 1 (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4723 (base 9) to base 4\nAnswer: 312300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3\/3 + 20*y**2\/3 + 5*y - 30.\nAnswer: -5*(y - 3)**2*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.0973729 microseconds?\nAnswer: 0.0000973729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51601, -51612, -51623, -51634, -51645?\nAnswer: -51656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70198 (base 12) to base 7.\nAnswer: 1143641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 - 60*p**2 + 37*p - 516. Give z(-31).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from iipnnnpbbpcdddbcdid.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**5\/10 + 5*u**4\/18 + 19*u**3\/9 - 7*u**2 - 176*u + 6. Let c(a) be the first derivative of o(a). Factor c(n).\nAnswer: -2*(n - 3)*(n - 1)*(3*n + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 36*l - 9. Let r(p) = 81*p - 19. Let q(g) = 2*r(g) - 5*x(g). Let c(o) = -1. Determine 5*c(h) + q(h).\nAnswer: -18*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 - 21 + 25)*((-6 - 1 + 3)*(6 - 13 - 9) - 3 - 3 + 5)*(-d + 3*d - 3*d) as m*d + j and give m.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 216 - 1959.3\nAnswer: -1743.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzk when three letters picked without replacement from {n: 5, z: 2, q: 4, k: 1, h: 4}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8737 - 8735. Solve 11*x = -h + 15*x - t, 0 = x - 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 53.895 * 5.\nAnswer: 269.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2286504, 2286520, 2286540, 2286564?\nAnswer: 2286592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(121) - (sqrt(121) + (sqrt(121) - sqrt(121)*-2) + sqrt(121)) - sqrt(121)))\/(2*sqrt(1100) + sqrt(1100) - sqrt(1100)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/27)\/(46*(-160)\/(-13800)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 120*p + 18521. Give f(-154).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4960267677 to the power of 1\/2, to the nearest integer?\nAnswer: 70429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 9) to base 6\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -2*t**5\/5 - 2*t**4 - 2*t**3\/3 + 6*t**2 - 41. Suppose n(a) = 0. Calculate a.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 17. Let j(g) = g - 1. Let h(i) = -4*j(i) + q(i). Find the first derivative of h(l) wrt l.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 z when three letters picked without replacement from {z: 2, l: 2, u: 1, m: 1, t: 2, f: 5}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330825 is divided by 110274?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**8\/504 - p**7\/315 + p**6\/20 + p**5\/90 - 5*p**4\/9 + 4*p**3\/3 + 4*p**2 + 36*p. Let q(k) = 0. What is k?\nAnswer: -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/8)\/((-17)\/204). Suppose -3*m + 15 = 0, -5*a + 161 = 5*m - k. Let b = a - 24. Solve -4*r + b*l + 8 = 2*l, -l = -2*r + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/9 + 0)*303. Let p = c + 152. Suppose 91*d - 168 = 33*d + 50*d. Calculate the smallest common multiple of p and d.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 4*k**2 + 5*k + 7. Let f be m(-5). Suppose 0 = f*q - 4*q. Solve 5*s = q, o + 2 = 5*s - s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -2*a**7\/21 - 5*a**4\/8 + 39*a**2. Find the second derivative of l(h) wrt h.\nAnswer: -240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*s = -77*s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.34105 and 0.5.\nAnswer: 0.170525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-167832)\/(-35721) + 2*(-1)\/3 - 4.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5035 + -1?\nAnswer: 5034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 + 921?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397006?\nAnswer: 2, 198503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14534 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 + -50?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -420357 (base 11) to base 6\nAnswer: -22235543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -29. Suppose 0*y + 2*y + o = d, 6 = -3*y. Suppose 4*m = -0*m + 48. What is the highest common divisor of d and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 644*q - 9280.\nAnswer: -4*(q + 16)*(q + 145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 4\/5, -0.098, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -222 + 13939?\nAnswer: 13717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-747)\/(-2656))\/(27\/18)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q**4 + 202*q**3 - 748*q**2\/3 + 440*q\/9 + 16 = 0.\nAnswer: -18, -1\/6, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -74*r + 10. Let p(k) = -1. Let j(f) = f - 2. Let b(t) = -j(t) + 2*p(t). Calculate d(b(c)).\nAnswer: 74*c + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 + a**4 - a**4 + 16623981*a**3 + 6147*a**4 - 16623981*a**3 + (3*a**4 - 5*a**4 + a**4)*(3 - 5 + 4).\nAnswer: 6146*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*g - 1331 = 0, -815*t + 817*t = 2*g + 864. Calculate the remainder when 1242 is divided by t.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -5.\nAnswer: -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.17 (b) 5 (c) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 10:17 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -120 bigger than -123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/2303115 and -83\/278112.\nAnswer: 73699680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 482413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 - -14)*(-16)\/(-24). What is the first derivative of 162*u**3 - 38*u**3 - 42*u**3 - 54*u**3 - 2*u**d - 242 wrt u?\nAnswer: -8*u**3 + 84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1 + -9)\/(-2))\/1. Suppose -3*v = -u*o - 48, -o - 2*v = o + 32. Let p = o + 13. Solve d - 2 = -p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13981\/(-217) - (-30)\/(-30)*-3*3\/21?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1824, 7170, 16094, 28596, 44676, 64334, 87570?\n\"Answer: 1789*p**2 - 21*p + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - b - 1. Let q(g) = -9*g**2 - 4*g - 6. Let x = -6 + 11. Let w(c) = x*p(c) - q(c). What is w(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2452*d**4 - 2364*d wrt d.\nAnswer: 29424*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrnnnnrrrnnrnrrnnn. What is prob of picking 4 n?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 5*d = -60, -6*y = 3*y + 35*d - 851 + 561 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -h + 3*h + 4*m, 3*h = 5*m + 40. Find the third derivative of 0 - 5*c**5 + 7*c**h + 0 - 3*c**2 wrt c.\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*k = 12, 8 = g - 2*k - k. Let q be (-1)\/(-1)*g*1. Solve -3*l = q*u + 4 + 4, 0 = l + 5*u + 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 2*l**4 - l**2 - 19 + 2*l**3 - 34*l - 3*l**3 - 1 in the form y*l**4 + s*l**2 + m*l**3 + k*l + a and give k.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttctcjtjsts. What is prob of picking 2 c?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*v - 9. Suppose 2*j + 25 = -k, 2*j - 2*k = 5*j + 36. Let m be ((-12)\/j)\/(1\/(-7)) - -1. Put v, 3, m in ascending order.\nAnswer: m, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2440 + -2438. Solve 0 = -r + 8*u - 5*u + 9, t = 4*r + 5*u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + f + 35, 100*f - 6 + 32 = -r + 196*f - 100*f for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = r + 8. Suppose 0 = -4*h + 20, 3*n - 6*h = -2*h + 274. Let d = n - 11. Calculate the remainder when d is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 23 - 27, 2*k - 20560 = -2*l. What is the greatest common factor of 69 and k?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s = -14*s. Suppose -4*j + 21*j - 34 = s. Factor -v**j - 5 + 2*v - 19*v + 12*v + 11*v.\nAnswer: -(v - 5)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 180.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 + 44 + 106 = -5*r - 82, -5*t - 3*r = 130 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*m + 75*m - 208*m + 67*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 837*v + 5067. Let f be x(-6). What is the smallest value in -2.2, f, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (84 - 90) + -44.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 11*s**2. Let n(r) = r + 20950. What is n(k(q))?\nAnswer: 11*q**2 + 20950","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 7:17 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + 4*sqrt(500)*1 + (sqrt(500) + -1)*5.\nAnswer: -5 + 100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-5 - -8) + -1) - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 184 - 164. Suppose -1871 = -r*g + 14789. What are the prime factors of g?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -240242 - 0?\nAnswer: -240242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 4*b + 12 = 0. Let m(y) = y**3 + 7*y**2 + 3*y + 2. Let w be m(b). Suppose w = o + 3*o. Calculate the highest common divisor of o and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -1390651?\nAnswer: 417195.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16638 divided by 94?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 443 - 447. Let w(d) = 12*d - 2. Let x be w(1). Let j be 27 - i\/(-5)*x\/4. What is the highest common divisor of j and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7081148 and 461814.\nAnswer: 21243444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*s**2*u - s**2 - 22*s*u + 8*s + 25236*u wrt s?\nAnswer: -26*s*u - 2*s - 22*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65307 is divided by 3261?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 1 = 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 h when two letters picked without replacement from {h: 1, s: 1, m: 2, z: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.901179 nanoseconds in milliseconds?\nAnswer: 0.000009901179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-1208)*(-8696)\/(-7609)?\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:43 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*s - 5*s - 2188 + 2186 + (4 + 2 - 2)*(4*s - 4*s + s) in the form n + q*s and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*(sqrt(1300) + sqrt(325) + 2).\nAnswer: 6 + 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33344 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**5 + 945*a**4 - 34570*a**3 + 176670*a**2 + 460805*a + 248625 = 0.\nAnswer: -221, -1, 9, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -24350\/9 not equal to 0.065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 7. Let y be i(-5). Let v be y\/(-1 + 39\/33). Let u be 6\/4*(-132)\/(-18). Calculate the highest common divisor of u and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 8:49 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24818 is divided by 2246.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1855491735 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + 1)**2 + -3 + 1*sqrt(1216) + 5 - (2 + sqrt(1216)*1)**2*-3.\nAnswer: 120*sqrt(19) + 4879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.12 - 0.1. Let x = 28.25 - -206.95. Let g = x - 235. What is the third smallest value in j, -4\/5, g, -5\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 9855 + 1497 = 2577. Calculate the greatest common divisor of 45 and v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(((i*((i\/i**31)\/i)\/i)\/i)\/i)*i)\/i*i**(-11\/3)*i assuming i is positive.\nAnswer: i**(94\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.21 or -1?\nAnswer: 1.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - 0.2. Let y = 0.14 + 3.86. Which is the biggest value? (a) -0.4 (b) y (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536*k = 541*k + 4*b + 30, -7*b - 6 = k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -8 + 5358*n**3 + 5352*n**3 + 5349*n**3 + 5357*n**3 + 7*n**2 - 21419*n**3 + 10*n. Determine t(4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1871\/14 + 258\/7. Let z = 2375\/14 - p. Which is smaller: z or -1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 - 105\/4*z + 3\/8*z**2 = 0.\nAnswer: -2, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -289946*a**2 + 40*a + 2 wrt a.\nAnswer: -579892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 17*s - 122. Calculate j(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9448 by -2362.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51588.\nAnswer: 2, 3, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18\/7? (a) -4 (b) 0.5 (c) -2 (d) 1 (e) 0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y - 6. Suppose 2*s + 124799994 = 4*z, 2*z = 2*s + s + 62399991. Suppose -y*j + 6*j - z = 0. Round j to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90.6 + 88.6. Are 18 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 96 = 3*j, 4*g = -2*j + 6*j + 96. Solve -3*l + g = -11*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 131 + 5*(-8 + 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-1.69\nAnswer: -0.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyycccyycycccycc. Give prob of sequence yccy.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbbbbvvbvv. Give prob of picking 2 v.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2 - 3*r**2 - 5*r + 3*r**3 + 3*r**3 - 5*r**3. Give j(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*a = 42*a + v + 4320, 5*a = 2*v + 10799. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 22. Let g = i + 8. Which is the second smallest value? (a) -4 (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44.974 - 0.1106\nAnswer: -45.0846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10219\/10 + -1025. Find the common denominator of u and 0 - -2 - 38\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1692486 times -2\nAnswer: -0.3384972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-16.8065.\nAnswer: -67.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.027995 weeks in minutes?\nAnswer: 60762.1896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y**2 - 10*y - 3. Let h be f(-3). Let t = h + 31. What is the least common multiple of t and 3100\/220 + 2\/(-22)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*6\/36*87. What is the greatest common divisor of 609 and w?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1027.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/240 and -181\/360.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(2 + (10 - 6)). What are the prime factors of (-54)\/(-5 + (-21)\/h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by 58.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 30 - 20 = 0. Let s = 17 + -23. Let d = -3 - s. What is the remainder when v is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17234930 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*l = -22387 - 1781 for l.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 6*i + 10*i - 16, 45 = 9*i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1427, -2843, -4259?\nAnswer: -5675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 2, 376, 4, -5 in decreasing order.\nAnswer: 376, 4, 2, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7753 = 30*c - 22753. Calculate the highest common divisor of c and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/6)\/((-14)\/(-63)). Let w(s) = 11*s - 3*s**n - 9*s - s**2 - s. What is w(2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8*w**2 - 133*w - 129. What is q(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3753 divide 399389548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1588779?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 134630.8mg?\nAnswer: 134630800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.282 - 6.518. Let q = k - -6.7. Is q bigger than 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79803?\nAnswer: 3, 8867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30140160 and 206412?\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*19 + (-7112)\/(-381)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 i when two letters picked without replacement from iyyjihjhi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1133*y - 1103*y - 60. Solve 10 = -i + 3*d - 0, y*d = 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3103.7 - 3104. Which is the closest to 4? (a) -4 (b) 0.2 (c) 0 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5850*g**2 - 5 + 4.\nAnswer: 5850*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -150.2156335 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8312, 8315, 8318, 8321, 8324?\n\"Answer: 3*m + 8309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 376 and 701992?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 883, 3208, 7951, 15970?\nAnswer: 28123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**3 - 3*r**2 + 14*r - 15. Let p(d) be the first derivative of x(d). What is the derivative of p(z) wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176) + -1)*6 - sqrt(176) - (sqrt(176)*-2*6 - sqrt(176)))**2 - (0 + -3*sqrt(176) + 4)**2)*6.\nAnswer: -4608*sqrt(11) + 332760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqqq when four letters picked without replacement from qqqqdqqqff.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 9. Suppose -j = -u*j + 10. Solve 4*v = -3*d - d - 4, -5*v = -j*d + 33 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103849 divided by -1?\nAnswer: 103849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 5, -17, -2\/9, 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 22*v + 4. Let b be t(-22). Suppose 0 = -b*h + 2*s, 2*s = 2*h + 7 - 3. What is the greatest common divisor of 12 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r + 4. Suppose -2*s - r*n - 11 = 5, 2*s - 5*n - 11 = 0. Which is smaller: -4 or s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.48? (a) 6\/35 (b) 0 (c) -1 (d) -13 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-14))\/(1870\/(-440)))\/((-24)\/(-28)).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 12 = v. Let g(i) = 5*i - 4. Let s(u) = 10*u - 9. Let m(o) = -21*o + 19. Let p(h) = 3*m(h) + 7*s(h). Let z(x) = -8*g(x) + 5*p(x). Give z(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = 24*q - 963. Let p(a) = 3*a**2 + a - 1. Calculate the remainder when q is divided by p(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 6. Let y be m(4). Let a be (y + -3)*((0 - 1) + -27). Calculate the highest common divisor of a and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + 184*g**2.\nAnswer: g**2*(g + 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5439071114 to the power of 1\/2, to the nearest integer?\nAnswer: 73750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (-2848)\/(-204))\/(-5)*-5?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 - 115*q**2 - 43*q - 646. What is the hundreds digit of d(62)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -125 + 290. Calculate the remainder when l is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*n - 7206 = 34*n. What is the remainder when n is divided by 134?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + -15. Let s be 12*(-16)\/1088*-17. What is the second biggest value in s, -1\/3, v?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-8) - 2)*-10. Suppose 0 = -w*i - 144 + 519. Let m be ((-10)\/i)\/((-1)\/3). Which is the nearest to m? (a) 4\/9 (b) 0 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 205000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49598 and 10.\nAnswer: 247990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or 3\/214?\nAnswer: 3\/214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 i, and 1 w when four letters picked without replacement from ncncitiifwc?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2420682 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -346.225 + 1412.039. Let g = v + -1064. Round g to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 + 26*s**2 + 3*s + 43. Let h(o) = -46*o**2 - 267*o + 41. Let d be h(-6). Give u(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6076)\/528 + 4*3\/132 and -2\/339.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.4 (b) 0.08 (c) -1\/1233 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-4 - (-1338)\/334). Let x = -4 - h. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42266 + 6.1.\nAnswer: 42272.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 637.6194 years to centuries.\nAnswer: 6.376194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of ((-2962)\/(-3))\/(((-500)\/(-30))\/25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 3172828?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 + 1. Let z = -161 - -160.437. Let m = 0.163 + z. Which is the closest to 1? (a) m (b) 0 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/17)\/(p**(3\/8)*p)*p*p**1*p*((p\/p**(2\/27)*p)\/p)\/p)**(2\/67) assuming p is positive.\nAnswer: p**(6127\/123012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, -170, -643, -1316, -2195, -3286?\nAnswer: -4595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d\/d**6))\/((d\/(d*(d\/d**(3\/7))\/d))\/d))**(-8\/5)*(d**(3\/4)\/(d**(5\/4)*d))\/(d**(-1\/2))**39 assuming d is positive.\nAnswer: d**(206\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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 f(r) = 2*r**2 - r - 4. Let a(w) be the first derivative of 2*w**3\/3 - w**2 - 5*w - 1188. Determine 5*a(o) - 6*f(o).\nAnswer: -2*o**2 - 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**1)**(6\/17)*((y**(2\/45)\/y)\/y)\/(y*y*y**0*y*y) assuming y is positive.\nAnswer: y**(-4016\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (455\/26)\/(4\/168). Calculate the common denominator of -33\/8 and (-12)\/60 + (-33)\/f.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) 0.4 (c) 994\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25*(-3)\/120*44\/22?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, -5, -45, -1\/18744, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/1*4 - -8. Suppose c = l + 2*p - 7*p - 24, 16 = 3*l - p. Solve u + l = 3*w, -3*w - w + u + 7 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgiazizizqqnzzn. Give prob of sequence nz.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-504)\/(-432) - (-6)\/1608*-354 and (0 - -1) + (-62)\/(-22).\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 172*b - 125. Calculate the remainder when 392 is divided by c(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49\/31 equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18, -2, -34, -84, -158, -262, -402, -584?\n\"Answer: -o**3 - 13*o + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11945?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l + 6. Calculate i(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 3*t + 48. List the prime factors of o(-19).\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q - 16. Let o be m(-5). Suppose -o = 5*r - l + 12, 5*l + 20 = 0. Sort -3, r, -2 in descending order.\nAnswer: -2, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.52401 to two decimal places.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*o + 4. Calculate the highest common divisor of o and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 176, 171, 166, 161?\n\"Answer: -5*x + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -113*a + 258*a - 127*a + (-5 + 2*a + 5)*(17 - 40 + 16) - 5*a - 3*a + 6*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3*20\/(-24)*2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 2)\/((-2)\/(-1 - 3)). Find the second derivative of 3*d**c - 4*d**2 - d**5 + 19483*d - 19734*d wrt d.\nAnswer: -20*d**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/40 and 5\/((-900)\/(-365)) + 0 + 1.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**2 - 13*t - 5. Let s(f) = -f**2 - 8*f - 1. Let k(m) = -m + 13 + 5 - 18. Let q(g) = 5*k(g) - s(g). Determine 9*q(w) + 2*z(w).\nAnswer: w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-15) + 0 + 1278\/30. Calculate the greatest common factor of d and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 290?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**2\/17 - 9834*o\/17 - 78544\/17 = 0?\nAnswer: -4909, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -995*y - 411*y - 130*y.\nAnswer: -1536*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 23 = 5*x, 669*j - 13 = 670*j - 4*x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 13*r + (3 - 1 + 0)*(2*r + 0 + 0) as z*r + m and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -97\nAnswer: -1067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, -18, -28, -40, -54, -70, -88?\n\"Answer: -j**2 - 5*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1963, 2262, 3115, 4816, 7659, 11938?\nAnswer: 17947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*l + 15*h - 121 = -0*l + 49*l, -4*l + 2*l - 2*h + h = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -10278\nAnswer: -102780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 93 - 2*d**2 + 14*d + 2*d**2 + 4. Let n be q(19). Solve 0 = -j + n - 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 + 66*l**2 + 363*l - 4. Give c(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a*d**2 + 9*a*d + d**3 - 46*d**2 - 4*d - 2 wrt d?\nAnswer: -12*a + 6*d - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 3*y + 8. Give m(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13 (b) 1\/2 (c) 0.2 (d) 143\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -14, -1 in descending order.\nAnswer: 3, -1, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7666149721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6*a = 3*c + 17, 0 = c - 2*a + 19. Let x = c - -13. Suppose -w = -x*w. Solve -6 = -n + f, w*n + 4*f = -n - 19 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 2)*(-3 + 6 - 4) + 2 + 1 + 0 + (-4 + 1 + 1)*(-3 + 3 + 1) + 410 - 834 + 389 - 4 + 4 + 2)*(i - i - i).\nAnswer: 34*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1296793 and 138419.\nAnswer: 1850523611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11013 divided by -287.\nAnswer: 11013\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 17, r: 1}. What is prob of picking 1 r and 2 m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058 a factor of 250629620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2006*b**2 - 1117*b**2 - 8841*b**2 - 25773*b**2 to h*b + c + f*b**2 and give f.\nAnswer: -33725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 8*b**2 + 4*b - 6. Let t be w(7). Let l = t - 225. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-1)*44*300\/5940\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*v + (2 + 2 + 2)*(-2*v - 5*v + 4*v))*(0*v - 5*v + 7*v) to the form g*v**2 + x + d*v and give g.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 6:53 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 57710929 to the power of 1\/2, to the nearest integer?\nAnswer: 7597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*i - 2*i + 3*i)*(-6 + 6 - 7)*(2 + 0 - 3).\nAnswer: -49*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4, 0, 8, 20, 36, 56?\n\"Answer: 2*h**2 - 2*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1181373 + -86?\nAnswer: 1181276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23908 = 4*w + 2*b, 16*w - 21*w - 4*b + 29882 = 0. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 39 = -0*w. Calculate the remainder when w is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -95*n**3 + 2*n**2. Let w(p) = -474*p**3 + 11*p**2. Determine -11*t(h) + 2*w(h).\nAnswer: 97*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38856*t**2 + 19431*t**2 + 19409*t**2.\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 10 = -2*z, -3*d + 7*z + 249 = 284 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*2*-1 - 5. Let y = u - -10. Suppose q - 4*v = -2*q + 9, -3*q = -y*v - 12. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 - 4*c + 3. Suppose q + 2 = -2*j, -j - j - 8 = -2*q. Let h(v) = v**2. Let x(k) = q*h(k) - g(k). Let t be x(2). Put 2, -2, t in ascending order.\nAnswer: -2, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 16)*(-56)\/12. Does 12 divide (-14)\/u + (-505)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (6\/14)\/(93\/(-217)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 534226.5ml to litres.\nAnswer: 534.2265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2152 - 21?\nAnswer: 2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187, 465, 733, 985, 1215, 1417, 1585?\nAnswer: 1713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 0*b + 4*b)*(3*b**4 - 5*b**4 + b**4) + (-6*b**2 - 2*b + 2*b)*(b**3 - 2*b**3 - b**3).\nAnswer: 11*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*t + 18. Let r(m) = m**3 + 7*m**2 + 7*m + 5. Let z be r(t). Let s be -2*(8\/(-3) + 3). Which is the nearest to -1\/5? (a) s (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, i: 2, x: 2, l: 2}. Give prob of picking 2 x and 2 i.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n**4\/4 - 187*n**3\/4 + 32*n**2 + 13*n = 0. What is n?\nAnswer: -2\/7, 0, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -86*s - 2 + 107*s + 2. Let p(z) = -z. Give x(p(r)).\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pllw when four letters picked without replacement from ulllupwttpuuplutuw.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202102220001 (base 3) in base 12?\nAnswer: 390461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-19)\/12 - 20\/(-80)) + (-5)\/(-15). Which is smaller: 7\/1927 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 0, 271 in decreasing order.\nAnswer: 271, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4891824788 to the power of 1\/3, to the nearest integer?\nAnswer: 1698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 2*d**2 - 5*d - 4. Let h be v(-3). Suppose h*j + 5*k - 34 = -4, -2*k = 3*j - 23. Let w = -3 + 3. Solve -j*q = w, q - 5 = o - 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + 5 + -5)*(-2)\/(-12). Factor a + 7\/4*t + 5\/4*t**3 + 1\/4*t**4 + 9\/4*t**2.\nAnswer: (t + 1)**3*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2 = -8, 0 = 3*l - 5*i + 10. Let n be 1595\/145 + 108\/(-10). Which is the second biggest value? (a) l (b) n (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 u when four letters picked without replacement from utzwzukuu?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111 (base 3) in base 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3*x**(4\/11))**(-3\/26)\/(((x**1\/x)\/x)**(3\/13))**(1\/14) assuming x is positive.\nAnswer: x**(-372\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254924?\nAnswer: 2, 101, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933 is divided by (-9)\/9 + (50 - -3).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**4 + 55*y**5 + y - 3*y**4 - 53*y**5)*(7 + 7 - 7).\nAnswer: 14*y**5 + 7*y**4 + 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 144.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 - 115*o**3 - 860*o**2 - 2640*o - 2880.\nAnswer: -5*(o + 3)*(o + 4)**2*(o + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20 and -47197.\nAnswer: -47177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 251 - 242. Suppose n*u + 5*u - 28 = 0. Which is bigger: u or 12\/5?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -0*y + y + 5, 0 = 4*q - 3*y + 24. Let u(k) = -2*k - 30. Let l be u(-11). Let h be l\/q*(-8)\/16. What is the closest to 1 in -3, h, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2216129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 3 = 4*d, 173*f + 4*d = 178*f - 105 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100001101110 (base 2) to base 10.\nAnswer: 10350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -6, 9 in decreasing order.\nAnswer: 9, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 30?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 4*f + 5613 = 11224 - 5651, 0 = 14*l + 4*f + 112 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 211820691 + 8.\nAnswer: 211820699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 10205892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 2*b = -167 + 177, 4*b - 31 = -3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 40*k + 39. Let g be r(-39). Let m(y) = 151*y - g*y - 81*y. Let j(u) = -2*u**2. What is m(j(p))?\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -523, -464, -405, -346, -287?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17145515 is divided by 102.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 2*sqrt(76)*-3)\/(2*sqrt(20)\/sqrt(5)) + ((3*1*sqrt(1539))**2 - 5*sqrt(209)\/sqrt(99)).\nAnswer: -25*sqrt(19)\/6 + 13851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11841568 by 5.\nAnswer: 11841568\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -3846?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*q - 4 = 0, r + 14 = -2*q + 7*q. Let z(h) = -h**3 - 4*h**2 - 3*h. What is the remainder when 58 is divided by z(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - -0.1. Let w(j) = -j**3 + 38*j**2 - 38*j + 41. Let h be w(37). What is the third smallest value in 5, t, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5604 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t + 9. Let l be y(-23). Let a = l - -140. Is 40 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 + 0*w**2 - 5*w**2 + 1 + (2*w - 2 + 2)*(6*w - 2*w - 3*w) + 3*w - 3*w + w**2 + 4*w**2 + w**2 - 3*w**2 + 4*w**2 - w**2 - w**2.\nAnswer: 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-5) - (-9)\/5. Factor 2 - 6 - t*u**4 + 3 - 1 + 4*u**2.\nAnswer: -2*(u - 1)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4078 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34*c**2*s + 74459232*c**2 + 234620*s**2 wrt s?\nAnswer: -34*c**2 + 469240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 - 4*x**2 + 3*x**2 + (1 - 2 - 1)*(x**2 - x**2 - 2*x**2) - 121*x**2 + 223*x**2 - 187*x**2 as g + f*x**2 + l*x and give f.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 14. Suppose s*d - 3*j - 1 = -2*j, 5*d + j + 1 = 0. Suppose -p + 8 = -5*v, p + 3*p = -4*v + 8. Put -3, d, p in descending order.\nAnswer: p, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 0*g**2 + 9 + 3*g**3 + 0*g + 3\/8*g**4 + 1\/360*g**6 + 1\/20*g**5. Let n(m) be the third derivative of u(m). Factor n(j).\nAnswer: (j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 - -1.2. Let l = v - 0.6. Let b = -2631 + 7895\/3. Sort b, 3, l, 4 in descending order.\nAnswer: 4, 3, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10968072271 + 0.2.\nAnswer: -10968072270.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 8*s + 3. Let o be n(-8). Suppose -t + 0 = -o. Let h(d) = d + 3. Determine h(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -31\/137?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 135619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16132 + -16564. What is the third smallest value in -1\/9, g, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**12\/j)\/j)**(11\/6))**22 assuming j is positive.\nAnswer: j**(1210\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/75)\/(204\/340)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1755.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)*g*g*g**(-5)*g)**14)**(-2\/11) assuming g is positive.\nAnswer: g**(196\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -915199, -915204, -915221, -915256, -915315, -915404?\n\"Answer: -n**3 + 2*n - 915200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 279221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 11*g**2 - 7*g - 4. Determine w(11).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2186 by 164.\nAnswer: 1093\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2\/(-7) + 12\/336.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1508?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyyyyyyyysyy. What is prob of sequence ys?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -8*f**2 - 9. Let i(l) = l**2 + l**2 - l**2 + 1. Let u be (-2)\/8 - (-6 - 57\/(-12)). Let x be (u + -1*3)*(-22)\/(-44). Calculate x*k(c) - 6*i(c).\nAnswer: 2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + b + 4*b)*(4 - 2 - 1)*(3 - 2*b - 3) as w*b + i*b**2 + m and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, -4, -9, 6, 47, 120, 231?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1914 and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 179819437777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5847807739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.2, 2\/29 in increasing order.\nAnswer: -0.5, -0.2, 2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**3 - 10*s**2 + s + 10 = 0?\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/70 and 17\/1557330.\nAnswer: 10901310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m - 6. Calculate j(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p. Let x = 20 - 12. Suppose -13*z = -x*z - 10. Let q(l) = 5 - 3 - z - 27*l. Give t(q(i)).\nAnswer: -54*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/204 and 7\/58.\nAnswer: 5916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(-3 + 2) + 6. Suppose r*c = 3*c. Let k = -1 - -4. Solve k = -v - c*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + sqrt(1008))**2 + (1*1*sqrt(42))\/sqrt(6).\nAnswer: -4036 - 95*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*g - 57*g + 44*g - 22440 = -329*g for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 55 = 15*x. Let a be 1 + (-2 + 3)*0. Solve -h + x = a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83.8 - -80.8. What is the third smallest value in l, 5, -19, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 58, 237, 536, 955?\n\"Answer: 60*i**2 - i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (4 + 6 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1631554?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -1. Let x be 3 + (0 - 282) + q. Let y = -149 - x. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 1462*c + 23625. What is s(-17)?\nAnswer: -1229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**4 + 14860595*p**3 + 193188305*p**2 + 817335925*p + 1114549500 = 0. What is p?\nAnswer: -5, -3, 2972132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/20*46\/58995*135.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 222250628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = r + 4*q, 5*r + 15*q = 16*q + 16. Let k(g) be the first derivative of 0*g - g**2 + 13\/3*g**r - 5*g**4 - 21. Suppose k(t) = 0. Calculate t.\nAnswer: 0, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 15643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -201112122222 (base 3) to base 8\nAnswer: -1357234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -18. Which is the second smallest value? (a) -4\/7 (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*m - 72. Suppose 740 = 4*t + 4*r, -2*t - 4*r + 376 = -0*r. Suppose -17 = 5*c - t. What is the remainder when c is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -2) + -17 + 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 8*q + 4. Let p be o(-8). Let z(b) = 5*b**2 - 3*b - 6. What is the units digit of z(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 657 + 642. Let q(l) = -10*l**3 - 1. Let z be q(-1). Let x be 1\/(-2) - z\/(-2). Is x < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-15))\/((-150)\/(-125)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.4185656 to three decimal places.\nAnswer: 2.419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 2*y - 19 = 0, -3*y - 17 = -5*u - 2*y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 3)*(-2 + 2 - 6 - l)*(-1 - 3 + 0)*(-1 - 2 + 4)*(-9 - 2 + 4).\nAnswer: 140*l + 840","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-10*(-3)\/6)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1660254, 3320505, 4980756, 6641007?\nAnswer: 8301258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5814 is divided by 183?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 610.17 and 29.\nAnswer: 17694.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 4*k - 6 = 0. Which is the third smallest value? (a) k (b) -2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/1354 and 45\/1006.\nAnswer: 681062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118308 is divided by 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/36 and -79\/558.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4 + 26\/(-4). Let o be (2\/(-3))\/((-3)\/((-108)\/(-8))). Sort k, o, -3 in increasing order.\nAnswer: k, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9320 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*u - 22*u + u as q + m*u and give m.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*x - 6. Let k(p) = 8*p + 31. Let j be k(-4). Let a(c) = c**3 + 6*c**2 + c + 1. Let z be a(-6). Sort x, j, z.\nAnswer: z, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 6) to base 13.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 11. Let n(b) = -b + 4. Let p(r) = -r + 3. Let q(c) = k*p(c) + 3*n(c). Let y(u) = u. Determine 5*q(d) - 4*y(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -23*u**3 + 7*u + 3. Let w(h) = -15*h**3 + 5*h + 2. Give -5*n(f) + 7*w(f).\nAnswer: 10*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from rrrrrrrrrrrsrrsrrrrr.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 + 3*l**2\/4 - 5*l\/2.\nAnswer: l*(l - 2)*(l + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3692 divided by -264775.\nAnswer: 3692\/264775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21333550536 - -717.\nAnswer: -21333549819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154435 (base 6) to base 8.\nAnswer: -35667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -15*g - 664. Let z(u) = 4*u + 221. Give -2*c(s) - 7*z(s).\nAnswer: 2*s - 219","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l + 13. Let f(y) = -y. Calculate f(u(s)).\nAnswer: -2*s - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/585 and -77\/1404?\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((42\/(-3))\/7)\/(6\/(-9)). What is the second biggest value in 747, -4, 0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -17*z**5\/60 - 5*z**3\/6 + 14*z**2 + 8*z - 9. Let x(t) be the first derivative of j(t). Let n(k) = -2*k**2. What is n(x(y))?\nAnswer: -578*y**4 - 340*y**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1508\/(-232) + (-47)\/(-7)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**3 - 340*u**2 - 11940*u + 82800 = 0.\nAnswer: -30, 6, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 159065 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -119, -143, -167, -191, -215?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 298 in 4, -4\/5, -5\/103?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 314331 and 2378.\nAnswer: 25775142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 + 71*z**2 + 192*z - 707. Give o(-32).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93*l**6*s + 42*l**2*s - l**2 - l wrt l?\nAnswer: 11160*l**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 12*g**2 - 9*g - 20. Determine o(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -418562, -837080, -1255598, -1674116, -2092634, -2511152?\n\"Answer: -418518*i - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*k = 7*s - 9, 0 = 3*s + 3*k + 9. Suppose s = 7*g - 15*g + 1992. What is the remainder when g is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 904?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 11*z - 2 = 0, -2*i = z - 5. Suppose 2*y = -l + 12, -20 = -4*y - 2*l + l. Let h(b) = i*b - y*b + b - 3*b. Let w(q) = -15*q. Give w(h(d)).\nAnswer: 60*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*r - 40*r + r**2 - 2 - 28*r to the form h*r**2 + k + l*r and give l.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1301, -1303, -1303, -1301?\nAnswer: -1297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10, 27, 76, 175, 342?\n\"Answer: 3*m**3 - 2*m**2 + 2*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -895 divided by -532278?\nAnswer: 895\/532278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 + 24*r**2 + 5*r - 39. Let a be z(12). Suppose 12*h - 11*h = 206. Suppose -3*p + h + 424 = 0. What is the highest common factor of p and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521651?\nAnswer: 13, 40127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k**3 + 1093*k**2 + 157*k + 195. What is y(-156)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 553 divide 652884519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50907.\nAnswer: 3, 71, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2 = b, -10 = 122*m - 127*m. Solve -6 = 2*z - 4*q - b, 0 = 3*z + 2*q - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**5*q)\/q)\/q**(-8))**(-11\/6)\/((q*q\/q**(-4\/9))\/(q**(-4)*q))**(-21\/4) assuming q is positive.\nAnswer: q**(35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 3*n - 80 = 0, 583*a - 585*a + n = 33 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 - 4068*q + 11. Let w(i) = 17*i**2. What is b(w(l))?\nAnswer: 867*l**4 - 69156*l**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1156444 and 24?\nAnswer: 6938664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/6 - -5\/3. Let h be -5 - 1\/(-3 + 2). What is the biggest value in w, h, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c + 38. Calculate n(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 51557731, 103115445, 154673161, 206230879?\n\"Answer: u**2 + 51557711*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236902833?\nAnswer: 3, 61, 83, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i = 0. Suppose -2*o + 3*n - 1 = i, 2*o + 4*n = -3*o + 9. Calculate the lowest common multiple of 20 - (1 + o + -2) and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -888*q**3 - 1193*q**3 + q + 1373*q**3 - q.\nAnswer: -708*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 723721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14814700 and -0.089.\nAnswer: -14814700.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -94, -2\/11, -2\/13, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*k + 11*k + 11. Let y = 2 - 2. Put 7, 5, y, k in ascending order.\nAnswer: y, k, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*l + 3. Let x = l - -3. Suppose 2*g = 3*h + 13, -4*h + 4 = x*g - 2*h. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 78*i**2 + 90*i + 884. Give l(-79).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/4*16\/12. Suppose 0 = 3*f - 6*f + 6. Find the second derivative of n - 4*n**f + 3*n**l + 2*n**2 wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 8. Let l(y) = -y**3 - 8*y**2 - 3*y - 24. Let z be l(-8). What is b(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -137\/3 - -46. Which is the nearest to 1? (a) w (b) 0.9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355*s - 434*s - 498*s.\nAnswer: -1287*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 f when four letters picked without replacement from {j: 2, p: 2, f: 13, a: 3}?\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3728, 7334, 10818, 14180, 17420, 20538?\n\"Answer: -61*h**2 + 3789*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99 - -256. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68630662 divided by -1\nAnswer: -68630662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19470, 77971, 175474, 311979, 487486?\n\"Answer: 19501*d**2 - 2*d - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -418 divided by 62596.\nAnswer: -209\/31298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1116)\/48 + 26)\/((-1)\/(-4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.55 + -6.45. Which is the third biggest value? (a) -2\/9 (b) -1 (c) k (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(((v**(-3\/16)*v)\/v)\/v)))\/v*v)\/((v**(2\/19)\/v)\/v))**(-1\/13)\/(v**(2\/3)*v\/v**(2\/5)*v**(-2\/3)*v*v\/(v*v*v**3*v)) assuming v is positive.\nAnswer: v**(66109\/19760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 + q**2 - 4*q**2 + 0*q - 2*q**2 + 0*q + 4*q**2 - 4*q**2 - q**2 - q**2 + 4*q**2 - q**2 + (-5*q + q + 2*q)*(-q + 1 - 1) + 16*q**2 + 347*q - 347*q.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -y**5\/3 + 25*y**4\/12 - 35*y**3\/9 + 5*y**2\/2 + 26. Factor z(b).\nAnswer: -5*b*(b - 3)*(b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 61. Let t(h) = 3*h**2 + 97898. Calculate w(t(o)).\nAnswer: 3*o**2 + 97837","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1\/(-8))\/(26\/13).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -25, 292708, 0 in increasing order.\nAnswer: -25, -1, 0, 292708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2994 and 1959120906?\nAnswer: 2994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -163*v + 250. Let i be y(-8). Suppose t - i = -w, w + 4*w + 1542 = t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6 (b) -0.2 (c) -0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19248 divided by 3?\nAnswer: 6416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p + 5. Let c be 20\/6*(-42)\/(-35). Let m(f) = 5*f - 4. Let a = -10 + 15. What is a*m(i) + c*u(i)?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, 5, 0.12, -5\/3, -1061.2?\nAnswer: -1061.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25615979 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*52\/(-130)*(2\/(-3))\/(8\/(-12))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.63 - -1.03. What is the fourth smallest value in 0.3, -2, w, 0.06?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 - -91. Calculate the remainder when s is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2073 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 8 = h - 2*h, -4*l + h = -16. Let p = 5 + -7. Does 13 divide (-142)\/(-4) + p\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - 2 - (1 - 1) - (-87 + -99 + 198).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1345 + -25629515?\nAnswer: -25628170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 + -27. Suppose 41*f - 1449 = 1369 - 563. Calculate the remainder when f is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -10*b**2 - 9. Let j(y) = -5*y**2 - 6. Let d(i) = -3*j(i) + 2*m(i). Let h(x) = 3*x + 6. Calculate d(h(w)).\nAnswer: -45*w**2 - 180*w - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/7 - (-204)\/28. Let l be 13\/4 - f\/28. Solve -l - 2*a**2 + 5*a + 3 - a = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22131 (base 4) in base 3?\nAnswer: -220210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**3\/2 - 3*l**2 - 5*l. Is t(9) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18086490 divided by -30.\nAnswer: 602883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 134*u**2 - 1047*u - 48. Give h(9).\nAnswer: 1383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/(-1*sqrt(432) + sqrt(432) + sqrt(3)))\/((sqrt(14) + 2*sqrt(14))\/sqrt(7)*3) + 5)**2.\nAnswer: 10*sqrt(11)\/9 + 2036\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -27. Suppose c*y - 68 = -k, 0 = -3*k + y + 3*y + 217. Suppose -k = -b - 19. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)*-2)\/sqrt(5) - sqrt(33)\/(2*sqrt(11)) - (5*sqrt(3)*-2 - ((sqrt(3) + 2)**2 + -5 + sqrt(3))).\nAnswer: 2 + 25*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 12 = 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -792 divided by 264\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -21. Suppose -22 = -h*k + 1166. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 - 0.2. Let j = 0.017 + -32.017. Let g = j - -28. Which is the biggest value? (a) 2 (b) t (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (12 + -30)) + -71 + -13.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/1911 and -52\/65331.\nAnswer: 5945121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6779214 and 3393?\nAnswer: 6779214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((17 - 4149\/243)*6)\/2*-48?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 982595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -g + 3*r, r = -2*g - 1 - 2. Suppose 8*y - 4*y = g. Factor d**3 + y*d**3 + 6*d**4 + 2*d**3 - 3*d**4.\nAnswer: 3*d**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 3*v + 2. Determine t(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/19345 and 11\/328865?\nAnswer: 328865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 3571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19\/((-209)\/33) + -31376997. Round v to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 6*v**2 + 18*v - 3. Let b be o(8). List the prime factors of -7 + -3 + b - (-310 + -1).\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1477921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 6. Suppose 0 = -0*z - z. Determine k(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12707 * 0.18.\nAnswer: -2287.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 10 = -1. Solve 1 = -b - t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -5*h - 2, 0 = -h - 2*w + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 93913*c**2 - 563505*c + 845271.\nAnswer: (c - 3)**2*(c + 93919)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 10) to base 15\nAnswer: -2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 2844.\nAnswer: 2839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1545 - 1504. What is the remainder when h is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1879606.\nAnswer: 2, 23, 29, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -15106?\nAnswer: 45318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*w**2 + 15*w + 1107*w**6 - 82987 - 3*w**2 - 196*w**6 + 82983 wrt w.\nAnswer: 109320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*n**3 - 404*n + 1623 wrt n.\nAnswer: -6*n**2 - 404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-9))\/(24\/(-1512)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7*s**2 - 104*s + 98. Let f be p(14). What is the greatest common divisor of 8498 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -10. Suppose 102 = 2*l - y + b*y, -88 = -2*l + 2*y. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-1) - (-828)\/4. Let k = x - 362. Let q = -70 - k. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 65*s = -63*s - 113 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13109 + -6111. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 + (132107\/(-5))\/(-17)*985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74954 or 74660?\nAnswer: 74660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 205, 275, 327, 361?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 q when four letters picked without replacement from qcqqccqqqcqqqqqcccq.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -691*c + 668*c = 69 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a5 - -2?\nAnswer: -4a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 16. Let k = z - 0. Solve -4*t = -2*u + k, -7*u + 3*u - t - 4 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4920 = -310*y - 182*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/90 in -1, -2, -43?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n + 1. What is the units digit of p(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/120)\/((-30)\/27)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 5 in decreasing order.\nAnswer: 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2398 + 389?\nAnswer: -200a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -639062*w**3 - 1230905*w**2.\nAnswer: -3834372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.57 + 4.57. Put -0.3, -2, -16, v in descending order.\nAnswer: v, -0.3, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k. Suppose k*i + 5*i = 0. Solve c + 0*c + 2 = i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 786153 divided by -177\nAnswer: -262051\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.1 - -15.4. Let j be 8\/2 + 36\/(-10). Let n = -0.06 - 0.14. What is the closest to j in s, n, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -12*q + 20. Let a be w(5). Let m = a - -61. Calculate the remainder when 30 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 130, 386, 878, 1606, 2570, 3770?\nAnswer: 5206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 b when three letters picked without replacement from {b: 1, r: 7, a: 6}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.2, -5, -0.3, 14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 50 = 34. Let o(c) = 8*c**2 + 111*c + 7. Calculate the smallest common multiple of z and o(-14).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 3. Suppose -t = 2 - 7. Let w be (-4)\/14 + (-17)\/(-35). Which is the closest to m? (a) w (b) t (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 less than -844\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 64*f**2 + 64*f + 39. What is x(-63)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 3*a**2 + 4*a + 3. Let z be b(-2). Let s be 108\/(-273)*1\/(-14). Let v = -24\/49 + s. Is z less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(2\/5)*q)**(-44\/5))**(-46) assuming q is positive.\nAnswer: q**(16192\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 4*k**2 - 6*k + 6. Let y be q(5). Suppose 5*n + 0*r = -3*r + y, 4*n + 2*r = 0. Let p = -73 - -658\/9. Which is smaller: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35510 (base 9) to base 3\nAnswer: -1012120100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19*70262\nAnswer: -1334978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9892, -19669, -29434, -39187, -48928?\n\"Answer: 6*f**2 - 9795*f - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -408156?\nAnswer: 408155.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 200.28318 to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 5*d - u, -3*d + 2*u - 30 = -4*d. Calculate the remainder when d is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, v: 1, c: 1}. Give prob of picking 1 p and 1 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.086 - -0.114. Let h = r + 0.424. Round h to two decimal places.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 2:09 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*q - 4 = -36*q + 3*z, 0 = -5*z - 20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b. Let c(o) = -20*o - 78. What is -c(p) + 6*k(p)?\nAnswer: 14*p + 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74924 + 74927. Determine j so that -7\/2*j**2 - 3\/2*j**c + 0 - 2*j = 0.\nAnswer: -4\/3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64656247.\nAnswer: 1487, 43481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 + -5 + (-86 - -92)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((33\/6)\/1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 5. Let j(q) = -q**2 - 4*q - 2. Let y be j(-5). List the prime factors of n(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.347531 * -391.\nAnswer: -135.884621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*n**2 - 252 + 1\/4*n**4 + 271*n + 15\/4*n**3 = 0. What is n?\nAnswer: -28, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2169620257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 27*s - 160. Let c be f(18). Solve -7*x - 3*k = -6*x - 12, c*x = -5*k + 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -889 divided by 32\nAnswer: -889\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 1\/2*w**2 - 21\/2*w + 10 = 0.\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7126560 - 5?\nAnswer: -7126565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1921952842 to the nearest integer?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-30)*(-10)\/140*-21?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 4\/23, -2\/9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from nlxllllllllllol.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-two fifths of a century?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 + 16610*h**2 + 34544574*h + 240998814.\nAnswer: 2*(h + 7)*(h + 4149)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*p - 355 = 0. Let d = p - -74. Determine r, given that 4\/3*r**d + 0*r**2 - 2\/3*r**4 - 4\/3*r + 2\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2*o - 6 - 0, -2*p + 5*o = 1. Do 12\/7 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u - 3. Let k(b) = 4 - 5*b + 5*b + 1 - 4*b. Let s(j) = 3*k(j) + 5*y(j). Let n(o) = -26*o**2 + 17*o**2 + 12*o**2. What is n(s(r))?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 39509, 2, -25, 5, 1\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 6*i - 27. Suppose -f - i = -146. Suppose 3*c - f - 79 = 0. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (45\/(-6))\/((-1089)\/132). Let -4\/11*i + 0 + 4\/11*i**3 - k*i**4 + 10\/11*i**2 = 0. What is i?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.35025 + 0.35. What is d rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(684) + ((sqrt(684) + -1)*-3)**2 + 5 + sqrt(684)*-1 + (4 + sqrt(684)*-1 + (-5*(sqrt(684) + 2) - sqrt(684)))**2).\nAnswer: -158888 - 1584*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111\/5 + 1009\/45. What is the closest to -1 in m, -4, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -140060000 to the nearest 1000000.\nAnswer: -140000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**7\/70 + t**5\/10 - t**3\/2 + 5*t**2. Factor s(m).\nAnswer: -3*(m - 1)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -122\/3 - -42. Let u = -3.3 - -3. What is the biggest value in a, u, 2\/17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -789 + 780 + (-1 + 2 - (2 - -1))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-7)\/o*o*o*(o*o**13)\/o*o*o*o*o*(o\/(o*o**3*o))\/(o\/o**(-10)) assuming o is positive.\nAnswer: o**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (724*o + 89 + 721*o - 1441*o)*(1 - 3 + 3)*(8*o - 2*o - o) to the form t + c*o**2 + m*o and give m.\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l + l - l)*(-3 + 0 - 4)*(4 - 3 + 2) to the form m + b*l and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n. Let q be o(1). Suppose -l + 25 = q*l. Let y = 0 + -0.4. What is the third smallest value in l, y, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4409 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 2*p**2 + 5*p - 2. Let b be l(1). Suppose -4*g + 879 = -q, -6*q = -8*q + b. Is 44 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -9. Let i = 41 + -25. Let t = -16 + i. What is the nearest to -1 in t, c, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 108*n = -113*n + 20, -3*f + 12 = 3*n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/20)\/8*772\/(-1737)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1198691, -2397380, -3596065, -4794746, -5993423, -7192096?\n\"Answer: 2*f**2 - 1198695*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2961773*z + 2414 = -2961739*z for z.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15141 divided by 309.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -17538.26\nAnswer: 8769.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 8*t**2 + 8*t + 9. Let b(q) = -8*q**2 - 9*q - 10. Let h(n) = 6*b(n) + 7*x(n). Is h(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -44. Let r = 4 - -5. Let u be ((-1)\/r)\/(10\/15). Are k and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1323976 is divided by 70.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1576 + 622. Does 11 divide (-9)\/12 + z\/(-24) + -6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 36.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19855 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1440021121 (base 5) to base 10\nAnswer: 3829536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 4 + 1)*(-2*o - o + o) + 4*o - 5*o - o)*(-25*o + 38*o + 1964*o**2 - 15889*o**2 - 13*o) in the form v*o + z + b*o**3 + t*o**2 and give b.\nAnswer: 83550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 530291*a**2 - 24 - 23 + 47.\nAnswer: 530291*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + -90 + 94.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1032 = -0*m + 24*m + 1056. Sort -2, -0.3, -0.7, m.\nAnswer: -2, m, -0.7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-2))\/(30 + (-3)\/((-1518)\/(-15088)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5034049\/189 - 26635. Let v = 1\/27 - p. Let d be 2\/(-8) + 17\/4. Sort d, v, -4.\nAnswer: -4, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92 + 96. Sort 4\/5, -3\/4, a, 8 in descending order.\nAnswer: 8, a, 4\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4921*v**2 + 29713*v - 1235*v**2 - 1234*v**2 - 29713*v - 1212*v**2 - 1241*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 7*i + 20 = 5*n, 3*i = n - 4. Suppose 9*r - 5*r - 428 = i. Calculate the lowest common multiple of r and 10.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**5\/4 + 9*h**4\/4 - 17*h**3\/4 + 3*h**2\/4 = 0. Calculate h.\nAnswer: -3, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 11566359.\nAnswer: -4\/11566359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + (-4 - -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*d - 11*d = 378 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 divided by -110.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/711409 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t = 17*t - 54. Let k be 48\/t + 2\/9. Is k*(-86)\/4*-2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -697 + 697. Let s(x) = -x - 2. Let q be s(3). Let y = 10 + q. Solve v = -y*r + l - 3, 2*r + 0 = 2*l + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28687010367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/3, -0.5, -40.64, 5, -0.2, -5?\nAnswer: -40.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 19 + 18 = 0. Solve -y = -4*x + n, -x - 2 = -5*x + 2*n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5013 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-155)\/4805)\/((-3)\/1581)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*t = 10*t - 19*t - 480 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxysffoisyisyoxxo. What is prob of sequence so?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4061*n - 4068*n - 10*z + 10 = 0, -5*z = 4*n - 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19227193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**4 - 25*j**3 - 54*j**2 + 415*j - 100 = 0?\nAnswer: -4, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152243249 to the nearest integer?\nAnswer: 12339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/105)\/(207\/1380) - 283\/266?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 29*p + 7222 = 2*p + 341*p for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 12, 2, 0 in increasing order.\nAnswer: -7, 0, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -29, -64, -2 in decreasing order.\nAnswer: -2, -3, -29, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 249*u**3 + 981*u**2\/2 + 234*u - 15\/2 = 0.\nAnswer: -1, 5\/166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - f = -33, 0*f - 12 = -a - f. Let y(n) = -11 + n - a + n + 23. Let h be y(7). What is the greatest common factor of 152 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 32831.45mm?\nAnswer: 3283.145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20414 - -2?\nAnswer: 20420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11\/15 + 5\/6. Let g(z) be the second derivative of 1\/6*z**4 + 0*z**3 + 0 + 0*z**2 + z - x*z**5. Find the third derivative of g(y) wrt y.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*1\/6*0)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -1)*(-3300)\/(-55) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -5. Solve -7*i + 35 = -2*i - 2*w, v = 3*i - 2*w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 482529?\nAnswer: 482529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31143?\nAnswer: 3, 7, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-4))\/11*2*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2. Suppose -4*o = -4 - 0. Suppose -4*f + 9*f + 15 = 0. Which is the nearest to 1? (a) t (b) f (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 40 = 3*z - 4*b, -4*z - 2*b = -32. Let t(n) = -47*n + 11. Let w(p) = 21*p - 6. Let l(r) = 4*t(r) + 9*w(r). Determine l(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 7*b + 15. Determine d(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66432784.\nAnswer: 2, 11, 377459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 < -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 4*n - 5. Let v be b(4). Sort -2, v, -4 in descending order.\nAnswer: -2, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5384 + -5389. What is the third smallest value in -3\/5, 8, c, 0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7\/4 (b) -35 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 3)*(8 - -1). Let t = -582 + 582. Solve 3*c - 3 = 2*r + r, 3*c - u = t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2. Let q(c) = 6*c + 44*c + c + 13*c + 44*c. What is f(q(z))?\nAnswer: -11664*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r = 2, 0 = -2*j - 4*r. Let h(s) be the second derivative of 0 - 3*s - 1\/6*s**3 - 5\/2*s**2. Give h(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5956524 and 756?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/188 and 65\/8.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 791.690254 and -0.1?\nAnswer: -79.1690254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/7 + (-4)\/(-14). Suppose z = -3*k + 2*k + 20. Let l = -12 + k. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.281994 to two dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12566 and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 2)\/((-396)\/(-45) + -9). Let k be 31\/(-5)*-2 + i - -1. Let 0*o + 18\/5*o**3 + 24\/5 - k*o**2 = 0. What is o?\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 8, 5, -4, -3\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 3)*(-23 - 4*u + 23) + (-21*u - 5*u - 5*u)*(-1 - 2 + 4) to j*u + m and give j.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/(-70))\/(6*(-7)\/392*24)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262482 to the power of 1\/2, to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*r - 3, y - 4*r = 10 + 16. Is (y + -11)\/((-1)\/3) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) -1\/8 (c) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -27801, -3 in ascending order.\nAnswer: -27801, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 4*f**2 + 6*f + 6. Let j be k(-5). What is the tens digit of (j + 73)*2\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 4683720*x - 1096861651920.\nAnswer: -5*(x + 468372)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5730*f**2 - 797 wrt f?\nAnswer: -11460*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 79218 and 167238.\nAnswer: 1505142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -43 in increasing order.\nAnswer: -43, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 203, 935, 2197, 4025, 6455, 9523?\n\"Answer: 6*m**3 + 229*m**2 + 3*m - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2114\/9 - 235. Is -4 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 20*p**2 + 4*p. Does 10 divide x(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (211*g + 2 + 143*g - 210*g)*(0 + 8 - 2)*(1 + 2 - 4).\nAnswer: -864*g - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/7)*(y\/(y*y**(-7)*y)*y)\/y*(y**(2\/3))**(-47)*((y*y**(-2\/7)*y)\/(y**(-2\/23)\/y))\/(y**(1\/4))**(-5\/8) assuming y is positive.\nAnswer: y**(-339217\/15456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - t + 1. Let c = -19 - -24. Suppose 4*k + 1 = d, -1 = -2*d + 2*k - c. What is z(d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b - 5 = -25*b. Let w(d) = -d - b + 12 - 8 + 3*d. Let l(o) = 2*o - 1. Calculate 2*l(z) - 3*w(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -8, -43577, 4 in descending order.\nAnswer: 9, 4, -8, -43577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -115, -464, -1061, -1906, -2999?\n\"Answer: -124*p**2 + 23*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99008266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -26\/79 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 8 - 4*d**3 - 1113*d**2 + 1116*d**2 + 2*d in the form g + r*d + s*d**3 + f*d**2 and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 4*l - 40 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3916*g - 384*g + 3936*g.\nAnswer: 7468*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 8:56 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21092?\nAnswer: 2, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -110 and 1058634.\nAnswer: 1058524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*r - 4 = 0, 28*o - 24*o + 5*r = 31. Let j = 0.4 - -2.6. What is the closest to j in 0, o, -3\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2. Let y = 89 - 46. Let f(l) = -l**2 + y - 43. Give p(f(g)).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**4\/8 - 51*b**3\/8 + 81*b**2\/8 + 5103*b\/8 + 10935\/4 = 0. Calculate b.\nAnswer: -9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 10*m = -y + 2084, 2770 = 4*m - 3*y. Is m a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {v: 1, n: 5, p: 11}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -382*j - 276*j - 83*j + 2 - 124*j to c*j + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) - (1*sqrt(1900))**2) + 6*(sqrt(19) + -1) + -5 + sqrt(19) + ((sqrt(171))**2 - sqrt(19)) + (3 + (sqrt(19) - sqrt(304) - sqrt(19)))**2.\nAnswer: -1427 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 14*n - 3. What is t(15)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(99) + sqrt(99)*-1 + sqrt(99) - sqrt(99) - sqrt(99))**2 + 2 + 3.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*p + 7017 = 1323, -4*k + p = -11416. Suppose -8*r - r + k = 0. Suppose q = 2*f + 105, -r = -4*q - f + 139. List the prime factors of q.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/11888 - -61507\/8190832. Which is greater: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**8\/60480 - 13*y**5\/30 + 20*y**2. Let l(h) be the third derivative of z(h). Suppose l(p) = 0. Calculate p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1555074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.2129 years in centuries?\nAnswer: 0.822129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 - -78.7. Which is the biggest value? (a) -3 (b) 0.4 (c) 25 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -6, -4\/7, 5, -0.5, -4\/11, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26849 - -456431\/17. Let l = -0.08 + -5.92. Which is the nearest to 0.1? (a) 4 (b) l (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -22d (base 14) to base 3.\nAnswer: -121001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/8 - 167200011\/(-44). Round h to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*i = t - 5, -3*t + 3 = -3*i. Let l(o) = -10*o**3 - 2*o - 1. Let q be l(t). Let y = -2 + q. What is the least common multiple of y and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -16150.\nAnswer: -9\/8075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.851482 millilitres to litres.\nAnswer: 0.000851482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**5\/7 + 78*m**4\/7 - 720*m**3\/7 - 800*m**2\/7 = 0.\nAnswer: -1, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(4 - 5) + -1. Is -15\/11 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133494927 to the power of 1\/2, to the nearest integer?\nAnswer: 11554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -55475 (base 10) in base 2?\nAnswer: -1101100010110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 549213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - 9. Let o = -5 - s. Let v be (o\/(-14))\/(81\/126). Sort 1\/3, -0.3, v in decreasing order.\nAnswer: 1\/3, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0.0968\nAnswer: 0.9032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 749 divided by 13\nAnswer: 749\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1839306 (base 12) to base 16.\nAnswer: -4d2176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**3 - k**3 - 8*k**3 - k + (3 - 1 + 2)*(-k**3 - 3*k**2 + 3*k**2).\nAnswer: -9*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1646949 + 88\nAnswer: -1646861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -0.1, 4\/5, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -27077 (c) -2 (d) 2 (e) -22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by 82.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -1134*l**2 - 2*l + 102. Let g(q) = 2269*q**2 + 4*q - 187. Let z(w) = -6*g(w) - 11*y(w). Let o(f) = 2*f. Give z(o(n)).\nAnswer: -4560*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(3 + 7\/(-14)*4). Let t(l) = -4*l**3 - 4*l**2 + 2. What is t(b)?\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d + 2*c + 4361 = 29*d, -c = -5*d + 21787. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 2336.556409874?\nAnswer: -2332.556409874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017665 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (0 - (26 - 3) - 4).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 34 + 18*a + 52 - 1 + a**3 + 4*a**2 - 9 in the form t*a**3 + j + o*a**2 + g*a and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 791433073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 10001011001000101?\nAnswer: -10001011001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*z**3 + 76*z - 76*z.\nAnswer: 43*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + 4*b**2 - 5*b**2)*(2*b - b - 3*b) + (16*b**2 + 3*b**2 - 3*b**2)*(0*b + 7*b + 0*b).\nAnswer: 108*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**2 + 14*j - 713. Let q(g) = -2*g**2 + 6*g - 356. Calculate -9*q(x) + 4*y(x).\nAnswer: 2*x**2 + 2*x + 352","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2076 divided by 1.\nAnswer: 2076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 14*j**2 - 13*j + 3. Let l be o(-13). Suppose 0 - l = v. Let s be (-2)\/9*-3 + (-673)\/v. What is the highest common factor of s and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 4. Suppose -210 = 2*o - 7*o + 4*g, -5*o + 210 = y*g. Suppose -4*m + o = -2. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1\/599, 124 in ascending order.\nAnswer: -1\/3, 1\/599, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*p**4 + 204*p - 28*p**4 + 2*p**5 + 19*p**4 - 30*p**4 wrt p?\nAnswer: 40*p**3 - 828*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 5*h - 12. Let n be u(7). Suppose -n*l - 2*l = 12. Let v be (-1)\/l*(-3)\/(-4). Do 0 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8232564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3\/7, -1068, 3 in ascending order.\nAnswer: -1068, 3\/7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-7))\/((-2)\/(-6))*504\/(-72)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -63503, -63443, -63351, -63233, -63095, -62943, -62783, -62621?\n\"Answer: -d**3 + 22*d**2 + d - 63525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 3. Let m be i(-3). Let q = 11 + m. Let o(l) = -l**3 + l. Calculate the remainder when q is divided by o(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3101013 + -22?\nAnswer: -3101040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 293, 402, 499, 584, 657, 718, 767?\n\"Answer: -6*p**2 + 127*p + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 - 79325*h**2 + 238020*h.\nAnswer: -5*h*(h - 3)*(h + 15868)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 57 and 8746604958.\nAnswer: 8746605015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1*x**(8\/5))\/(x**7\/(x\/(x*(x\/x**(-1\/3))\/x))))\/((x**(1\/8)*x*x)\/x*x\/(x\/((x*x\/(x*x**8))\/x))*x**(1\/3)*x**(2\/7)) assuming x is positive.\nAnswer: x**(1279\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 38 = -3*b + 4*o - 24, -9*b + 11*o + 163 = 0 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/2)\/(1\/(4 + 0)). Let l be 162\/(-135)*(-3 + b\/4). Determine h so that -1\/8*h**l + 3\/8*h + 0*h**2 + 1\/4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*w + 60722 + 6877 = 0. Does 37 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 115 + 113. Let x be (((-63)\/28)\/3)\/((-2)\/144). Let m = l - x. Solve -m = r + 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145648 is divided by 131.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**3\/3 + 3*o**2\/2 + 2*o + 2. Let k be y(3). Suppose 0 = 5*v + l - 590, 5*l = 3*v + k*l - 372. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2 (b) 577 (c) 3\/7 (d) 24 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 40 = 11*g. Let s be 2*((-20)\/g + -3). Let m be 2*((-4)\/((-6)\/3) + s). Solve -5*j = -m*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1877*v - 261 - 1885*v - 1889*v + 5663*v. Determine b(22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 9*y - 5. Determine i(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 11*g + 0*g**3 + 9\/2*g**4 + 0*g**2 - 9. Find the first derivative of s(o) wrt o.\nAnswer: 54*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(-7 - 2 + 1 + (-4 + 5 - 2)*(0 + 0 + 6) + 0 - 11 + 2)*(k - 2 + 2) to r + q*k and give q.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 9. Suppose -b - b - 12 = 2*a, -b = -q*a - 19. Let f be a\/(-3)*9\/(-6). Is -4 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 2392, -1 in descending order.\nAnswer: 2392, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 96 (c) -2\/3 (d) 1 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.0801 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 424.4 - 340. Let j = 0.8 - c. What is j rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102340 a multiple of 430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2447897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -1\/165*z**6 - 1\/66*z**4 - 2\/55*z**5 + 2\/11*z**3 + 2 - 6*z + 0*z**2. Suppose h(n) = 0. What is n?\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 - 1a57c?\nAnswer: -1a597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, -58, -208, -426, -712, -1066, -1488?\nAnswer: -1978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 1890?\nAnswer: 1895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22312*q**2 - 4*q + 6*q + 22312*q**2 - 341*q**3 - 1.\nAnswer: -341*q**3 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29065911?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -606, -1219, -1834, -2451, -3070, -3691?\n\"Answer: -j**2 - 610*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-36)\/(-126)*6)\/((-1)\/(-49)). Let b be ((-24)\/10)\/(f\/330). Put b, -0.3, -1\/8 in ascending order.\nAnswer: b, -0.3, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -435 - -633. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/5)*h)\/h**(7\/2)*h**(-2\/5)*h\/(h**(-7\/4)*h) assuming h is positive.\nAnswer: h**(-7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16668.\nAnswer: 2, 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 2*f - 11 + 8, -5*f = 4*u + 9. Does 52 divide 0\/(2 - (u - -5)) + 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 203*x**3 + 2*x**2.\nAnswer: 203*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1345495943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/48)\/(16\/(41280\/10))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 3 - 43. Suppose 11*l - j*l = 51. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -261*c**2 - 5*c. Let w(y) = -7961*y**2 - 152*y. Calculate -152*t(a) + 5*w(a).\nAnswer: -133*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 104a53?\nAnswer: 104a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 369075506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(550\/4752*12)\/((-30)\/(-18)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 11*t + 29. Let h be l(8). Sort 2, -3, h, -4.\nAnswer: -4, -3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**2 + 5*b - 4. Give h(4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -2)*((-2)\/4 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + t + 0*t)*(2*t**2 - 2 + 2).\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369 - 366 = 3*o. Is 72\/43 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 360, 550, 670, 738, 772, 790, 810?\nAnswer: 850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5*(sqrt(1872) + -1) - sqrt(1872))*3 + 3 + 1 + sqrt(1872) + 0 + 0)**2.\nAnswer: -4368*sqrt(13) + 316564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + sqrt(112) + (sqrt(112)*-1 - sqrt(7)).\nAnswer: -sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1147 and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -4, -1, 106?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/21)\/(8\/(-56)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*x**3 + 1724*x**2 + 8880*x - 1008.\nAnswer: 4*(x + 6)*(x + 42)*(9*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22825 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 931978 is divided by 509?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13207 (base 9) in base 10?\nAnswer: 8917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 8. Let h = 17 + -7. Suppose 3*b = 2*f - 5*f - 12, 5*b = -w*f - h. Solve t + 4 = -b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvkgiikiiikkkkkit. Give prob of sequence igvi.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2. Let f(r) = 5*r**2 + 9*r**2 - 17*r**2. Calculate f(s(b)).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1463464 to the power of 1\/2, to the nearest integer?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 30*v + 37*v - 68*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -12*c**3 + 73*c**2 + 8*c - 6. Let u(o) = -4*o**3 + 25*o**2 + 3*o - 2. Calculate 3*b(y) - 8*u(y).\nAnswer: -4*y**3 + 19*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + h**2 + 5*h**3 + 0*h**3. Let v = 106 - -212. Let z = -321 + v. Let a(l) = -5*l**3 - l**2 - 1. Determine z*m(b) - 2*a(b).\nAnswer: -2*b**3 - b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 519283927?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*d - 4*l, -2*d = -4*d - 3*l + 14. Let i be d\/(-12) + 40\/12. Solve -5*t + 40 = -4*u, 3*u - i*t = -0*u - 27 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 5:28 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 8*y - 2. What is the remainder when x(2) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5779262?\nAnswer: 2, 61, 127, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6 - 35\/2. Suppose 3*t + 25 = -22*t. Let k be 3 + -1 - (u - t). Calculate the greatest common factor of k and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l + 35*l + 227*l - 18200 = 0 for l.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131672?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d + 21*d + 5*w = 17, 9 = 3*w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**2 + 1\/84*v**4 + 0*v + 0*v**3 + 1\/420*v**6 + 0 + 1\/105*v**5. Factor w(x).\nAnswer: 2*x*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1574?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 47, 31, -3, -61, -149?\n\"Answer: -r**3 - 3*r**2 + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -4 - 888\/(-288)) + 6\/9. What is the biggest value in 3.6, a, 16\/5?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/103 - -293\/412. Find f such that n*f - 1\/4*f**3 + 1\/2 + 0*f**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*m + 56*m = 28. Let x(k) = 1611*k + 65*k**2 + 162*k**m - 1611*k. Let h(c) = -c**2. What is x(h(u))?\nAnswer: 227*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3410 = 36*o - 23 + 589. Let b = -1 - -41. Let d = -20 + b. Calculate the remainder when o is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 18*w**5 - 6*w**3 + 14*w - 6. Let s(x) = -55*x**5 + 17*x**3 - 41*x + 17. Let c(a) = -6*s(a) - 17*v(a). Find the second derivative of c(i) wrt i.\nAnswer: 480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-28)\/((k\/k**30)\/k))**(2\/15))**23 assuming k is positive.\nAnswer: k**(92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -c08cd9d?\nAnswer: -c08cda1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2))**(-2))**(11\/3)*(j**(3\/2)\/(j*j**(-9)*j))**(2\/33) assuming j is positive.\nAnswer: j**(167\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from raararrararra. What is prob of picking 2 r?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 2*w**2 + w - 3. Calculate p(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -27. Let l = 244 - 225. Let u = s - l. Which is the second smallest value? (a) 2 (b) 2\/21 (c) -8 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**2 - 18*d**2 + 4*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123274228 divided by 180754.\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -261495000 to the nearest one million.\nAnswer: -261000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l - 3 - l**2 + 0*l - l. Let r be -9 + (-3 - -2 - 1). Let k = r - -6. Give c(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1160245*c**3 + c + 278213 with respect to c.\nAnswer: 3480735*c**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 17936*t + 179428. What is j(-10)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 8. Let x = -8 - a. Let r(w) = -w**2 - 3*w - 3. Let u(v) = -2*v - 2. Let n(i) = 3*r(i) - 5*u(i). Give n(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 + 4*j**2 + 1610*j**3.\nAnswer: 1610*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 67691940?\nAnswer: -1\/67691940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*1*sqrt(567) - sqrt(567)*1*-3)*5)**2*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 2)*(5 + 1 - 2) + 1 + 3 - 2)*(-4*d**5 + 4*d**5 + 2*d**5).\nAnswer: 12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -9\/191, 0.3, 2\/5, -0.5?\nAnswer: -9\/191","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 2*l - l)*(-24*l + 18*l - 27*l)*(-1 - 3 + 5).\nAnswer: -66*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -175.37001324 rounded to 1 decimal place?\nAnswer: -175.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-99)\/(-33)*(-10)\/(-2 + -3). Solve 0 = -v + 5*v - 2*b - d, 3*b = -v - 9 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 0*l**2 + l**2)*(43938 - 43938 - 4348*l).\nAnswer: -4348*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*a - 5*a + a)*(-4*a**2 + 2*a**2 + 4*a**2) + 3768*a + 4786*a**3 - 3768*a in the form q + z*a**3 + w*a**2 + g*a and give z.\nAnswer: 4790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 1) + (-13 - -14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -16*x + 2. Let g = -12276 - -12275. Calculate c(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 - 47.5. Which is the nearest to -1? (a) -6 (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255 = -76*b + 505 + 586 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*d + 542*d - 187*d - 135*d to the form w*d + k and give w.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.2, -6, -0.6, 13 in decreasing order.\nAnswer: 13, -0.2, -0.5, -0.6, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - (-6)\/(-2) - -1. Suppose 0*f = -y*f - 42. Let g be 4\/(-10) + f\/(-10). Is 3 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/((-2)\/32*3). Let z = -11 - m. Suppose 0*s + z*s = 3*r + 216, -160 = -4*s - 4*r. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + v**2 - 4*v**2 - 4*v**2. Let x(o) = -5*o**2 - o**2 + 5*o**2. Determine x(h(f)).\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -18*w**3 + 4*w**2 - 8396*w. Let b(s) = -22*s**3 + 5*s**2 - 8395*s. Give 4*b(t) - 5*z(t).\nAnswer: 2*t**3 + 8400*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 127\/(-4) - (-15 + 1166\/88)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 + 51 = 26*s - 98 - 19 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - m + 13 = -0*a, -3*a = -5*m + 9. Find the third derivative of -1107*n**6 - 34*n**a + 1134*n**6 - 2*n**5 + 3*n**5 wrt n.\nAnswer: 3240*n**3 + 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsnnnnnnnssnsnnsnnn. What is prob of sequence ss?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 904*q + 7 - 183*q**2 - 904*q + 34*q**3 + 184*q**2 - 7.\nAnswer: 34*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -21*v + 2. Let q be m(3). Let a = q + 156. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24273944 to the nearest integer?\nAnswer: 4927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 15 + 63 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80244283*c**3 - 14277358*c**2.\nAnswer: 481465698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7808691 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/((-34)\/850)*-1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/31))**(-26)*(c**1\/c*c)**(3\/14))**(-23) assuming c is positive.\nAnswer: c**(14605\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*m - 507 = 51*m - 1787 for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-12))\/((-858)\/2106)\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*u - 142, 2*k + k = 2*u - 146. Calculate the remainder when u is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -293 or -294?\nAnswer: -293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**4 - 1542*u**3 + 65244*u**2 + 69880*u - 133584 = 0?\nAnswer: -2, 1, 46, 726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 5*c - 3*c)*(4*c + 3*c + 1 - 3*c)*((0 + 3 - 5)*(-c + 1 - 1) + 36*c - 7*c + 35*c).\nAnswer: -528*c**3 - 132*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 881866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1094 - 11?\nAnswer: -1105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/13 (b) -1\/10 (c) 2\/11 (d) -2 (e) -20.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**3 - d**2 + 8*d + 16391. What is the tens digit of c(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 2*i**2 + 3*i - 1. Let b be g(-3). Let k be 2 + 0 + b - 0. Let r be 2\/(86\/(-90) + k). Calculate the greatest common divisor of 18 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w - 673*w**3 - 651*w**3 + 50*w**2 + 2000*w**3 - 654*w**3 to o + t*w**2 + p*w**3 + f*w and give p.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642741.\nAnswer: 3, 11, 19477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 11:59 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*k, -3*r = -6*r - 3*k + 18 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - n**2 - 2*n + 3. Let r be g(3). Suppose 4*h - r - 33 = -4*z, 3*h - 1 = 4*z. Let f(d) = 0*d + 2 - d**3 + 6*d**2 - h*d + 3. Determine f(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -31400344?\nAnswer: 31400345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 1600.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4662.08 millennia?\nAnswer: 466208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsvetsjsee. What is prob of sequence jj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/46*6\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 5, -4, 5\/6, 0.3, 429284 in decreasing order.\nAnswer: 429284, 5, 5\/3, 5\/6, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/15)*s)\/((s*(s*s**(-2)*s)\/s*s)\/s))\/(s\/(s**(-2)\/s)*(s\/s**2)\/s))\/((s\/s**(1\/4))**(6\/25)\/(s*s*s**(-2\/3)*s)**(1\/45)) assuming s is positive.\nAnswer: s**(-1703\/1350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1885159 rounded to the nearest 10000?\nAnswer: -1890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -81. Let s = -2145.79 - -2094. Let n = s - c. What is n rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 8:48 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5979 + 5983. Which is the fourth biggest value? (a) -3 (b) 9 (c) m (d) 0.1 (e) 5\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-12)*(-6)\/2 - -16. Solve -z = 5*j, 5*b + 3*j + j + 16 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**3 - 477*c**2 - 774*c - 198. Calculate s(97).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -229 + (-25)\/(-5) + -4. Find the common denominator of 25\/6 and -5 + 3 + 1 + m\/(-27).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -4. Let q = 8 - n. Suppose 0 = -3*a - q*a + 275. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 28239499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**4 + c**4 + 0*c**4 - c**4 - 3*c**4 + 3*c**4 + (2 - 2 - 1)*(-5*c**4 - 4*c**4 + c**4).\nAnswer: 5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -29 - (20 - 33 - 16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 14*b - 9. Let w(j) = 5*j - 3. Let o(s) = 4*m(s) - 11*w(s). Let k = 0 - -5. Let t be o(k). Solve t + 3 = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 + 2*d**2 - 8. Suppose 5*i = i + 23*i + 8*i. What is y(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - (-2 - -3)*-3. Let s be 4*1 + (5 + c)*8. Suppose s + 30 = 2*n. What is the greatest common factor of 165 and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 take away -186109?\nAnswer: 186108.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.545 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + 17 - (3 - 10). Solve 4*o + 8 = -n, 4*n + 2*o - t = 6*o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 6*z + 6 - 2.\nAnswer: -6*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5061, 5063, 5067, 5073, 5081, 5091?\n\"Answer: r**2 - r + 5061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 2, b: 2, l: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 13 = 3*b + 7, 17 = -3*h + 2*b. List the prime factors of h + 0 - (-450)\/2.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 7*n + 3. Let y(b) = -3*b - 1. Suppose 5*o - 2*w - 20 = 0, 8*o = 3*o - 5*w - 15. Determine o*h(l) + 5*y(l).\nAnswer: -2*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 11 = -57. Suppose b = 4*y - 3*u, 6*u - u - 25 = -4*y. Suppose -51 + 162 = 3*l. Solve -y*x + 2 = -h + 17, -3*x - 5*h - l = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -13*g - 315. Let r be v(-29). What is the highest common divisor of r and 496?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1372506, -2745136, -4117766, -5490396, -6863026?\nAnswer: -8235656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(10\/7))\/(n\/n**(8\/7))*(((n\/n**(-4)*n)\/n)\/n)\/n**(-19) assuming n is positive.\nAnswer: n**(159\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 3:25 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -121240969?\nAnswer: 606204845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4640 (base 12) to base 5.\nAnswer: 222244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.062895?\nAnswer: 0.012579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8461 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 + 7 - 617*v - 7.\nAnswer: -617*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1484, 5924, 13376, 23882, 37484, 54224, 74144?\nAnswer: 97286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, h: 2, l: 3, a: 1, n: 2, b: 7}. What is prob of picking 1 a, 2 b, and 1 h?\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -500 - -462.7. Let l = m + 37.2999823. Round l to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4 - (2 - (-25)\/(-10))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**3*v**3 - 140*n**3 - 4*n**2*r*v + 7*n*r + 16*n*v**2 + v**3 wrt n.\nAnswer: -12*n*v**3 - 840*n - 8*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 35*b + 1344. What is i(-37)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/9, 1\/2, 48.8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1 - 3*l**2 + l**3 - 5*l + 6*l + l. Calculate the least common multiple of 11 and w(3).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 12*u**2 - 12*u + 14. Let s be f(11). Suppose 3*t - 2*y + s = 3*y, 5*y = 5*t - 5. Factor 0*d**2 - 2\/5*d + 4\/5*d**3 - 2\/5*d**5 + 0 + 0*d**t.\nAnswer: -2*d*(d - 1)**2*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.0765 + 0.9235. Let t be (-6)\/20*2 + 1. What is the second biggest value in 14, 0.5, t, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 679 and -0.192908.\nAnswer: -130.984532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -463 + 1034. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-18)\/z*z**(-5\/9)*(z**(-6\/5))**36 assuming z is positive.\nAnswer: z**(-2824\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 27\/128, -0.63, 1\/5?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -11101100211210?\nAnswer: 11101100211221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 666 = 13*t - 4*t. Let m = 42 + -23. Calculate the remainder when t is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1320 = 53*m + 57*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*c + 119. Suppose -4 = 2*y + 2, 2*y = -5*w + 14. Suppose 4*t = -2*z + c, w*t + 5*z = -0 + 8. What is the smallest common multiple of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 7*m**4\/3 - 10*m**2 + 8*m + 115. Let r(w) be the first derivative of a(w). Find the first derivative of r(h) wrt h.\nAnswer: 56*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - s + 1 - s - 2*s + s + (2*s + 4 - 4)*(-1 - 1 + 0))*(-2*s - 2 + 2).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3894361 (base 10) to base 14\nAnswer: 735329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4145*v + 4160*v = 255 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*g + 64*g**4 + 3 + 288*g**4 - 8*g**4 wrt g?\nAnswer: 4128*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1352268*h**3 + 675961*h**3 + 675908*h**3.\nAnswer: -399*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 288877283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*n - 1323 + 652 = -572 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (4 + (-3 - -6) + -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3985222, 3985219, 3985216?\n\"Answer: -3*s + 3985225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1, 1\/4, 0, -10481 in increasing order.\nAnswer: -10481, -0.2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 206020 divided by -88\nAnswer: -51505\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4241 and -20.\nAnswer: 84820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -53, 1, -14 in decreasing order.\nAnswer: 1, -3, -14, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 11 = -59. Let g = -22 - c. What is the smallest common multiple of 7 and g?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 186965 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.80518m in kilometers?\nAnswer: 0.07580518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340721.\nAnswer: 29, 31, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5*g**4 + 3*g - 3793*g**2 - 3791*g**2 + 7581*g**2 as k*g + y*g**3 + b*g**2 + u + x*g**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1962, -1965, -1968?\nAnswer: -1971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2883*n - 3 + 4*n**2 + 1.\nAnswer: 4*n**2 + 2883*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 9. Let w(n) = -n**3 - 5*n**2 + 5*n - 2. Let x be w(-6). Suppose -a*v + x*v = 8. Solve -2*k - v = -3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 5*r**4\/3 + r**3\/2 - 185*r**2\/2 + 120*r. Let f(z) be the first derivative of n(z). Let l(i) = -i. What is f(l(t))?\nAnswer: -40*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 741582?\nAnswer: 8157402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zizzziz. What is prob of sequence iizz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -13 - (-27 + (-210)\/(-14)). Suppose v + 7 - 2 = 0. Which is the second smallest value? (a) q (b) v (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8393 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-3)\/3)*(-31)\/(-155)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2628500 divided by 52570\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1985483 and 97\/10.\nAnswer: 19854830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oco when three letters picked without replacement from cfeeocoooooofoc?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g. Let z(u) be the third derivative of 0 + 4*u**2 + 5\/24*u**4 + 0*u + 0*u**3. Determine v(z(h)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 4 - 6 - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, a: 12}. Give prob of sequence aw.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**2 + 7*i - 25. Let n(d) = -2*d**2 - 3*d + 12. What is -14*n(r) - 6*v(r)?\nAnswer: 4*r**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 3. Let f be w*(-2)\/8*2. Let z(l) = -5*l**2 - 4*l**2 + 5*l**f. Let u(k) = 3*k**2. Give u(z(m)).\nAnswer: 48*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -5\/6, 2\/37?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than or equal to -3112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 + 2.03. Let u = -1 + 5. Sort u, -1, s in descending order.\nAnswer: u, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 455, 5, -5, -2, 3\/8, -198\/5 in decreasing order.\nAnswer: 455, 5, 3\/8, -2, -5, -198\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 q when four letters picked without replacement from qqwqqqwwwqqwsqqs?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express r**4 + 268387*r - 19*r**2 - 268387*r - 2 + 5*r**3 as w*r**2 + y*r + a + g*r**3 + t*r**4 and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 479830779?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 17*x**6\/30 + x**4\/3 - 32*x. Find the third derivative of y(o) wrt o.\nAnswer: 408*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 3 - 120\/(-28). Let k = 1\/66 - -1\/6. What is the closest to -2 in z, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 4 - -6 - (-3 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15778216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n + 35*n + 208 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4752148 to the power of 1\/3, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 694092 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -76*y**3 + 339*y**2 + 19*y - 72. Let w(f) = 13*f**3 - 58*f**2 - 3*f + 12. Let p(z) = 6*l(z) + 35*w(z). Calculate p(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)*j**(-9))**(-46)*((j**0)**(-14))**(2\/23) assuming j is positive.\nAnswer: j**552","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -2\/7, -8, 8.9, 0.6, -2\/243?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 478 = -298. Calculate the smallest common multiple of c and 415.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0087248185 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -6\/17, 1\/2, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8117.28mm?\nAnswer: 8.11728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2256578 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3.86 times 4\nAnswer: 15.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(448) + 5 + -6*(-3 + sqrt(448))**2 - (4*(-1 + sqrt(448)*1) + -3)**2.\nAnswer: -9954 + 744*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -319 - -342. Suppose 440 = 5*c + 5*l, -5*l - 5 = -0. What is the remainder when c is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 133 - 33. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10230 and 15912?\nAnswer: 162779760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -387 (base 10) to base 9.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 6:56 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = -2*c + 3*y, -2*y - 155 - 277 = 5*c. Let h = 144 + c. Calculate the remainder when h is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6336 - 6422 - (-72 - 1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 - (32 - (65 + -1))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**2 + 9*i + 3*i**2 - 9*i. Let a(x) = 3*x + x - 5*x. What is r(a(l))?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/121, -2, -4\/7?\nAnswer: -1\/121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 8*m - 815. Let d = m + -75. Suppose -d*a + 24*a = -12. Put 0.5, 17\/2, a, 0.4 in ascending order.\nAnswer: a, 0.4, 0.5, 17\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiaii. What is prob of picking 1 i and 2 a?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 w, and 2 p when four letters picked without replacement from uplvlllwwp?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -93204\nAnswer: -559224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 (base 15) in base 7?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -182, -187, -196, -209?\n\"Answer: -2*w**2 + w - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**5 - 27725*r**4*s + 2*r*s - 13*r - 10*s + 1 wrt r?\nAnswer: 20*r**3 - 332700*r**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -192 + 2?\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -417*u**3 - 1039*u.\nAnswer: -2502*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 5*t. Let j be g(4). Let r = j - -1. Let m be (5 - r) + (-2)\/8. Which is the nearest to 0? (a) -1\/6 (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000078871 rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30281*x**4 + 30285*x**4 + 0 + 9 - 2 - 324*x**2 + 2*x**3 - 21*x - 72*x wrt x.\nAnswer: 48*x**2 + 12*x - 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1667.814 and 5.5?\nAnswer: 9172.977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27989 divided by 3?\nAnswer: 27989\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 8:26 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 5*q**2 + 3*q - 4. Suppose 9 = 3*a - 6*a. Calculate the remainder when i(a) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 9) to base 5.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**3 + 2 - 3 + 11*b**3 + 2 as c*b**3 + y + n*b + r*b**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(144) - sqrt(144))\/(sqrt(294) + sqrt(294)*-2))\/(-1*((sqrt(75)*-2 + sqrt(75))*5 + sqrt(75))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 2 + sqrt(425))*-6)**2*-1 - (2 + sqrt(425)*5 + sqrt(425) - (2 + (-4 + sqrt(425))**2)).\nAnswer: -16623 - 2590*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 24*v**2 + 135*v - 349. Is w(82) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 + -4a8389?\nAnswer: -4a839c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 4*g**2 + 69*g + 374. Give y(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78610 + 10586 = -5*u + 7301. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**5\/30 - 37*l**4\/24 + 2*l**3 - 4*l**2 + 110. Determine t(17).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-4))\/(4\/(-8)) - -52. What is the highest common divisor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 7163473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 14585*w**3 + 12*w**2 + 6*w - 6. Let j(u) = -11040844*u**3 - 9082*u**2 - 4541*u + 4541. What is 6*j(d) + 4541*y(d)?\nAnswer: -14579*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**(1\/4)*z)\/z)**31\/((z*z\/(z**(-14)*z))\/(z*z*z*z\/z**(2\/9))) assuming z is positive.\nAnswer: z**(991\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 637694500 to the nearest 1000000.\nAnswer: 638000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, y: 1, k: 2, n: 3}. What is prob of sequence anyk?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.5 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**5\/15 + 3*t**3\/2 - 13*t**2. Let o(m) be the first derivative of w(m). Let f(g) = -g**2. What is f(o(b))?\nAnswer: -64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 44*u + 2. Let t be d(1). Suppose 0 = -2*o - 4*g + 12, -3*o = g - 1 - 12. Suppose 54 = o*s - t. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 minus -6.98286?\nAnswer: 6.91286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.65 and 82.\nAnswer: 53.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 4*k - 44, 2*g + 3*g + 65 = 3*k. Let p be 1 - (-1 + 1 + -24). Let z = p + g. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1320 + -37235?\nAnswer: -35815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13624206 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27411 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -1.168?\nAnswer: -0.1168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 59?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6*-147\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 3. Suppose -u = 5*x - 28. Suppose 4*t = 25 - x. Solve 2*w - 4*s = -t*s - 1, -7 = 3*w - 4*s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/5, -1, 103, -0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(4\/11)\/t*t))\/((t*t**4)\/t*t))\/(t\/t**(-2\/7))**(13\/3) assuming t is positive.\nAnswer: t**(-765\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icqiiiqqqqcqqiq. Give prob of sequence icc.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 1\/60*m**5 - 5\/12*m**4 - 25\/6*m**3 + 0 + 0*m + 25*m**2. Is u(14) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*r = 7*r + 15, -2*r - 6 = -3*p. Let h be p + (0 - 4) + 3. Which is bigger: h or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 + -111?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74059 - 49281. What is the ten thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3518 (b) 7 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3196 is divided by 91?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/9 (b) -0.9 (c) 0.4 (d) -1\/241 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -8.5. Let z = -0.6 + k. Let u = 4 - 0. Which is the closest to z? (a) 0 (b) -1\/6 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -197*o**2 - 7. Let x be y(-3). Let z be x\/11 - (-16)\/(-88). What is the units digit of (z\/(-12))\/((-2)\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*4\/1*(-5)\/10. Let m(j) = -3*j**3 - 2*j**2 + 2*j + 1. Let k be m(g). Let l = 18 + -16. Solve -3*n + l*p - 5 = k, 0 = 2*n + 2*p + 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 9:36 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-30)\/(-2)*472\/(-708).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86278440 a multiple of 2388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 + 22?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2351*s**2 + 28*s**2 + 5975*s**2.\nAnswer: 8354*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 121141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 13 - 8 = -2*y, -4*y + 5*o = -35. Let h be y\/(-10)*5*-1. Let a = -3 - -6. Sort a, -5, h.\nAnswer: -5, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*t, 5*t + 69 + 6 = 2*o. Suppose 0 = -2*r + o - 9. What is the highest common factor of r and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 1) + 0 + (-4128)\/3. What is the common denominator of f\/(-308) - 15\/3 and -75\/56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 1. Let r(u) be the second derivative of -u**3\/6 - 5*u**2\/2 - 15*u. Let v(k) = 2*r(k) + 6*w(k). What is v(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7791 - -11707. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -188.1 + 24.1. Let r = 238 + w. Let d = 74.037 - r. Round d to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 4 = 44 + 8 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -315, -594, -897, -1236, -1623?\n\"Answer: -2*h**3 - 265*h - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tooooootoooo. Give prob of sequence otot.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 8*x - 9. Suppose 0 = 2*n - 0*n + 12. Let v be s(n). Suppose 2*z = 2*l - l + 3, v = 2*l - z. Solve -2*p + 3*p = -l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z - 8. Let m be j(-4). Suppose -5*p + 1113 = 2*g, p + m*g = -g + 225. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sts when three letters picked without replacement from {b: 1, s: 4, p: 1, r: 1, z: 1, t: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -3\/5 (b) 122 (c) 2\/9 (d) -1 (e) -1260 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15092 by 4.\nAnswer: -3773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cgg when three letters picked without replacement from {g: 2, c: 4, t: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-6))\/(-27*24\/144)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3402419 = -14*h + 1357581. What is h rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327397 is divided by 54565?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 - 290*g - 9*g**3 - 5*g**3 + 3*g**2 - 31*g + 321*g.\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18\/5 of a millennium?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -32 - 120. Let l = 9130.7 + -9131. What is the nearest to 0 in 0.4, l, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 264 and 286?\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5 + 840*c**4 - 180542*c**3 + 1736368*c**2 - 2934465*c + 1377800 = 0. What is c?\nAnswer: 1, 8, 415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 6\/43, 0.5, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20474 + -12557. Let b = x - 3590. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 674882 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + -4. Let d be 1\/2 + (27\/(-18))\/(-1). Suppose 0 = -5*w - 2*j - 71 + 16, 0 = -w - d*j - 19. Does w = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173404698.\nAnswer: 2, 3, 191, 337, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*o - 367 + 7 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 55*d + 693 = -1469 for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + sqrt(272)).\nAnswer: -24*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679241407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.571397 to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 8*r**2 + 64*r + 15. Let q be v(-15). Let n be 2\/(-8) + q\/120. Calculate the highest common factor of n and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 1)\/((-4)\/46). Let g(q) = 2*q**2 - 128*q + 155. Let o be g(63). Suppose -w = -x + o. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -144*r. Let u(f) = -26*f. Let i(w) = -5*o(w) + 28*u(w). Let p(d) = 35 - 35 + 13*d - 17*d. Determine p(i(l)).\nAnswer: 32*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, p: 7, k: 2}. What is prob of picking 2 k?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 376?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16681 + 29834 - 15776)*(-2*a + 2*a + 2*a) as p*a + w and give p.\nAnswer: -5246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -474*m**3*p - 369*m**3 + 10*m**2*p + 2*m**2 - 570903051*m*p - 2*p wrt m.\nAnswer: -2844*m*p - 2214*m + 20*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4 + g**2 - 3*g - 1 - 2*g. What is t(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58438879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 - 139 - ((3 - (-1 - 11)) + 3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u - 3. Let k be q(4). Suppose 12*y - 615 = -3*y. Differentiate -17 + y - 17 - b - k wrt b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 173\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 11 = -4. Suppose j*u = 15*u - 30. Find the first derivative of 9*w**2 - u + 8*w**2 + 4*w**2 + 8 wrt w.\nAnswer: 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 798576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 6, -62 = -4*r - 4*q + 22. Let n be (-24)\/r*(-2)\/(-4). What is the closest to -1\/16 in n, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0784 - -0.0384. Let p = 228 + -1599\/7. What is the closest to m in -2\/5, 3, p?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.3312906cm?\nAnswer: 0.000003312906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 82? (a) 0.5 (b) 0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/11 (b) 2\/11 (c) 10 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-5))\/(g*g**(2\/11)*g) assuming g is positive.\nAnswer: g**(-68\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - l + 8 = 4*k, -k + 2 = l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3741 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: Is 2148 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 584626.3m to centimeters.\nAnswer: 58462630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 521 = 13*z + 469. Solve 0 = 5*l - 2*o - 2*o, -z*l = -5*o - 9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 * -0.1701\nAnswer: -0.018711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 12783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = -4*u + 193 - 173, -3*u + 15 = -5*l. Let w = 2 + -6. Let j(t) = t**3 + 4*t**2 - 3*t - 6. Let i be j(w). Solve i*d - u*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 12:41 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 206030799.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.052 - -0.052. Which is the nearest to 0.1? (a) -3 (b) 0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q**5*q*q)\/q)\/(q**6*q))\/((q\/(q*((q\/(q\/((q*q**1)\/q*q)))\/q)\/q))\/q*q**11) assuming q is positive.\nAnswer: q**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9968354 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 33 - 99 + 38 - 3*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 0 - 8)*(-1292 + 643 + 644 + 9*m) to the form u + q*m and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5060, -5057, -5054?\n\"Answer: 3*m - 5063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -10. Is 10308\/20 + 36\/(-15) + x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6447005417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/18 < -55\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 2*n - 1. Suppose 3*t - 2 = -3*c + 2*c, t = 3*c - 6. Let z be -1 - (-4 + -1) - c. What is the remainder when 12 is divided by b(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -418 - -416. Let w(i) = -i**3 + i**2 + 12*i + 15. Let n be w(m). Put -2, 14, -4, n in descending order.\nAnswer: 14, n, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 62685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 5) + (-48 - -60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(3\/7)*x*x*x))**31*(x**(2\/13)\/x)\/(x\/x**(-9)))**(-28))**(6\/23) assuming x is positive.\nAnswer: x**(188112\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.11735ml to litres.\nAnswer: 0.03611735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4 + 2 + -3*(5 + sqrt(343) + 0) + -5 + 5))**2*-6.\nAnswer: -171072 - 20412*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 0, 5, 10?\n\"Answer: 5*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 1.1501, -0.075, -2, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 0.026 in increasing order.\nAnswer: -3, -2, 0.026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (2 + 3) - -20. Suppose 2*u = b, 3*u + 2*u + 2*b - h = 0. Solve 8*r - 4*r**u + r**2 - 6 + r = 0 for r.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*n + 463 = 1335 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -224 (base 9) to base 3\nAnswer: -20211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4\/6 + 2*f**3 - 11*f**2\/3 - 14*f - 49\/6 = 0. Calculate f.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l - 3. Let w(n) = 1 + 2*n - 2 + 2. Let h(i) = -3*a(i) - 5*w(i). Differentiate h(z) with respect to z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 12:27 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j + 1. Let m(u) = 27*u - 36. Let v(k) = -36*a(k) - m(k). Let p(h) = 2*h. Let f(w) = -6*p(w) + v(w). Let l(o) = -2*o**2 - 3. Determine f(l(s)).\nAnswer: 6*s**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b**2 + 2*b**4 + 32 - 15 - 2*b - 17 to z*b**4 + d*b**3 + v*b + r + j*b**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 5*j - 26 = 54, 5*j - 28 = -21*v - 193 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*-42*5\/(-100) + 18\/(-30). Factor 24*f**3 + 3\/2 + s*f**2 - 21\/2*f.\nAnswer: 3*(f + 1)*(4*f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 12:37 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 299 and 1058.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-83)\/5)\/((-48)\/30*-3) and -187\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*x = -2*d + 283*x - 8, d = 6*x - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7554 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: 16 - (-11 + 4 - -15 - 5) - 0\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 61*j**2 - 4*j + 890. Give t(-61).\nAnswer: 1134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -547\/5, 2\/15, 1 in descending order.\nAnswer: 1, 2\/15, -31, -547\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.906 - -0.866. Which is the closest to 0.04? (a) -0.3 (b) y (c) -3\/2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-39))\/(405\/(-90)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 502, 1874, 4678, 9424, 16622, 26782, 40414?\nAnswer: 58028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2829.3 take away 3?\nAnswer: -2832.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5221*o + 2710*o + 2668*o = 4553 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (782 - 782 - 464*c**4)*((-2 + 0 + 0)*(0 - 1 - 1) + (-3 + 4 + 0)*(6 + 1 - 5)).\nAnswer: -2784*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/48)\/((-13)\/((-3276)\/7)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 5*o - 4*n, -22*o = -18*o + 4*n - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 9*g - 8. Let v(r) = -9*r + 8 - 8*r + 6 + 1. Calculate -11*c(f) - 6*v(f).\nAnswer: 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqbqqb. What is prob of sequence bbq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341336?\nAnswer: 2, 42667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -720628, -1441257, -2161886?\n\"Answer: -720629*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 350 + 25*j**3 + 9*j**3 - 1701 + 1351.\nAnswer: 34*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (-10)\/(-45)*126\/12. What is the nearest to -0.4 in x, 0.4, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -3\/2, 2\/7, 106, 1\/37?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 58335?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 17*m**2 + 8*m - 21. Let v(y) = 6*y**2 + 3*y - 7. Let j(k) = 3*o(k) - 8*v(k). What is the first derivative of j(x) wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 15170*y**3 - 4*y**2 = 0.\nAnswer: 0, 2\/7585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -582*k**3 - 473*k**3 - 273*k**3.\nAnswer: -1328*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 13*h + 119. Let z be y(-9). Solve -2*w + 4*w = z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from dddxdodddxdfddd?\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-7.129.\nAnswer: -14.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -414 (base 8) to base 14\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -8 - 12 - (-9 - 0)) + (7 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 - v - 14. What is the tens digit of w(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1127, 2223, 3319?\n\"Answer: 1096*f + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 89*j**2 + 31038*j - 39178. What is d(-350)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 816 and 1020?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 8935332?\nAnswer: 35741328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + -100001100011?\nAnswer: -100001110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*a**2 + 3*a**3 + 21*a**2 + 8*a**2.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 322*v**3 - 240*v**2 wrt v?\nAnswer: 1932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.74161787497 - -12.\nAnswer: 10.25838212503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-8)\/(y**(-12\/7)*y)*y\/(y\/(y\/(y\/((y*y*y**(-2\/17))\/y))))*y**(1\/19) assuming y is positive.\nAnswer: y**(-14359\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 n when four letters picked without replacement from {k: 11, n: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 417.4084 meters?\nAnswer: 417408400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*v**6 + 173*v**3 + 4071*v**2?\nAnswer: -1200*v**3 + 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 5. Let g(f) = -42*f - 175. Let l(m) = 3*g(m) + 105*y(m). Let x(d) = -40*d. What is x(l(s))?\nAnswer: 840*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -1375*h**2. Let u(n) = 2*n - 6. Give y(u(c)).\nAnswer: -5500*c**2 + 33000*c - 49500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2097 - 35*j**4 - j - 2115 + 4*j with respect to j.\nAnswer: -140*j**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -128 - -160. Suppose 0 = -g - 2*x + 8, -g + 5*g + x - n = 0. Solve -g = -r - 13 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 4*o - 7. Give j(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-3)\/51)\/(4*73\/584)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2 - 3*o + 0 + 1 + 2*o. Let h be g(6). Let k be (-2)\/5 - 8\/(-40). Which is the third smallest value? (a) h (b) 1\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 1. Let n be b(-5). Let u be 2\/7 - (-46)\/(-14). Sort n, u, 0.\nAnswer: n, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(162)*2*-3 + (sqrt(162) - (sqrt(162) + 2*(1 + sqrt(162)))))*-6)**2 - (5 + ((1 + sqrt(162) + 1)*-6)**2)).\nAnswer: -1102233 - 27216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13431675 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p - 149*p = -2433 - 2169 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -3a?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -2*h - 12, -12*h + 3*t + 21 = -17*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 176c8d4 + -4?\nAnswer: 176c8d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 81, 3\/4, 0.4, 2, -0.02798?\nAnswer: -0.02798","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, i: 4, u: 2}. Give prob of picking 1 u and 1 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 2. Let g(p) = -2. Let o(b) = 3*g(b) + 2*h(b). Let t(u) = u**2 - 2*u - 1. Let a be t(-2). Calculate o(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 414 + 16?\nAnswer: 42a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 70247614 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 69*v - 79. Let n be b(-24). Suppose 21*x - 26*x = 2*m - n, 0 = -3*m - 3*x + 1488. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2f9 (base 16) to base 11.\nAnswer: -632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 11:14 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9376*n + 9392*n = -208 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475*x + 476*x - 4*t = -4, 5*x + 20 = -4*t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - g + 8 = -0*g, -5*k + 3*g + 24 = 0. Let m(y) = 2 - y**2 - 10*y - 2 + k*y. Give m(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y**6 + 20312*y**5 - 5141*y**2 wrt y?\nAnswer: -240*y**3 + 1218720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5\/(n*n**(-3)))**(4\/7) assuming n is positive.\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1300) + -3 + ((0 + sqrt(1300))*-2)**2.\nAnswer: 10*sqrt(13) + 5199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 7*z**2 + 9*z + 1. Let k be n(-5). Is 8853 + 16 - (k + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*n + 57*n - 37*n as f + c*n and give c.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 13*h**2 + 2*h - 3. Let v be a(1). Let y = 40 - v. What is the remainder when y is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 701 and 268483.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**3*x)\/x**(2\/5))\/(((x*x**(-7))\/x)\/(x*x**(-3\/2))) assuming x is positive.\nAnswer: x**(111\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69 and 140300.\nAnswer: 420900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/(-114))\/((200\/(-420))\/(-10)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96699395 is divided by 6398.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 799*p + 119. Let l(q) = 81 - 20 + 0*q - 58 + 12*q + 8*q. Determine 3*b(c) - 119*l(c).\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from {w: 7, p: 4, m: 6, q: 1}.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eheeqvqe. What is prob of picking 1 q and 1 h?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2458872113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 2005999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 426*u**2 + 5*u - 383. Let z(x) = -427*x**2 - 6*x + 389. Let k(m) = 6*t(m) + 5*z(m). What is the derivative of k(l) wrt l?\nAnswer: 842*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34900 + 48985. Let d = -14084.93269 + j. Let r = -0.067 + d. What is r rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 13414 = -4*x, 0 = -49*x + 44*x + 20. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 876 = 394. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/227 (b) -1.9 (c) -0.2 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/66 and -43\/438.\nAnswer: 4818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**4\/12 - 7*t**3\/6 - 15*t**2\/2 + t - 290. Calculate n(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**7*x)*x*x)\/((x*x**(3\/7))\/x))**42*((x*x**(2\/5)*x)\/(x*x**(2\/3)\/x))\/(x**5\/(x\/(x*x*x*x*x**(-4\/7)))) assuming x is positive.\nAnswer: x**(-24538\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 153 and 51879.\nAnswer: 2645829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 850 = -5*k, -504 = -3*h - 19*k + 24*k. What is the remainder when 649 is divided by h?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*j + 548*j + 2152 = 9082 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by 6960910\nAnswer: -32\/3480455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 786520311?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -31 (b) -6 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (567\/1134)\/(1*2\/1012). What is the highest common factor of l and 1587?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 - 16 + 35 - 17 - g - g**4 as m + u*g**2 + d*g**3 + a*g**4 + h*g and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 773853 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 57662 at least as big as 57662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 16)*6\/9. Let q(i) = -2*i + 29. Let g be q(x). Suppose 81 = n + g*r, n + 0*n - 78 = -2*r. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-124))\/(9\/24). Does s = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 26*q + 110. Let d be m(-21). Solve -4*g = -4, 5*g = -d*l + 11 + 19 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 112\/(-8) - -8 - -9. Suppose 18*l - 14*l - 1411 = y*p, l + p = 344. What are the prime factors of l?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 1520773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 43*l**8\/336 + l**4\/12 + 5*l**3\/3 + 50*l**2. What is the second derivative of z(q) wrt q?\nAnswer: 860*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 5:40 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0899 + 0.113. Round j to 3 dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from jcsnbnjjjs.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**6\/1080 + f**5\/90 + f**3\/6 - 27*f. Let z(g) be the second derivative of b(g). Factor z(u).\nAnswer: u*(u + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5524900 to the nearest 100000.\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 s when three letters picked without replacement from {k: 10, s: 9}.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/(-35))\/(1\/5). Suppose x - 59 = -r. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 19 + -18 + 82 + (-6 - 11)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1430*o**3 - 31*o**2 - 30*o**2 + 61*o**2 + 1425*o**3 - 4308*o**3 + 1450*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2964020.\nAnswer: 2, 5, 148201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 841*f - 853 - 13581 = 1545 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 370911276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 25.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 61.21441 years?\nAnswer: 734.57292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 86*j - 102. What is b(3)?\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -420, -523, -626, -729?\n\"Answer: -103*p - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.327, -4, 3\/4?\nAnswer: 0.327","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-54) - (-58)\/18. Let g be (c - 1)\/(0 - -1). Let o(k) = 2*k + k - g*k. Let l(m) = -m**2. What is l(o(i))?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1043, -5219, -15647, -30235, -48977, -71867, -98899, -130067?\nAnswer: -165365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 382 + -186401?\nAnswer: -186008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.116281 or -2.85?\nAnswer: -2.85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*g**2 - 593 + 593 to h*g**2 + p + x*g and give h.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 14962*n**2 - 14971*n**2 + 4*n + 7 + n. Let r(a) = 14*a**2 - 8*a - 11. Determine -8*m(z) - 5*r(z).\nAnswer: 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-20))\/((-1)\/(-38)). Let s = b - -35. What is the lowest common multiple of 8 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*c = 0, 3*x + 0*c = 3*c. Let b be (-2 + x)*(-16 + 15). Solve b*a = 3*m + 13, -2*m - 1 = -4*a - m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqwzzjqqg. Give prob of sequence gwj.\nAnswer: 1\/720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + -45. Let v = -6440 + 6488.41. Let r = v + q. Round r to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -4\/5, 2\/61, 3 in decreasing order.\nAnswer: 5, 3, 1, 2\/61, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 1. Let a = -6 + 7. Let t(y) = y**3 - a - 9*y + 19*y**2 + 5*y - 16*y. Let f be t(-20). Give v(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37422?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*o - 5*o + 0*o)*(-1 - 2*o**2 + 1).\nAnswer: 4*o**3 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 9*y + 6. Let q be p(-7). What is the common denominator of 0\/q + (-198)\/40 and -107\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 + 230*x**2 - 467*x + 2. Give a(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*b + 2)*(2*b**4 + 2*b**4 - b**4) - 9*b**2 - 2 + 9*b**2 + 2*b**5.\nAnswer: -4*b**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 59*c + 56*c - 117*c. Let l(h) be the first derivative of -h**4\/12 + h + 3. Let a(w) be the first derivative of l(w). Determine a(j(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1212*v + 1212*v - 3*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-183)\/(-4697)*11*8\/(-138))\/(8\/(-28)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -6.7, 0, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108579201 divided by -36193067.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*l**3 - 47*l**3 + 303*l**3.\nAnswer: 401*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1288\/(-42) + 26)*-3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3003330210 (base 4) to base 8.\nAnswer: 3037444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35461 - -212?\nAnswer: -35247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4173041134?\nAnswer: 2, 151, 13818017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**6 + 74458210*w**5 - 127600424*w**2?\nAnswer: -120*w**3 + 4467492600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349*a + 349*a - 11*a**3.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 4 = 0, -2*j - 26 = -2*m - 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 832.08249ms in days?\nAnswer: 0.000009630584375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/1)\/((-8)\/1184). Let l = -147 - c. Solve -13 = 4*h - l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 22*h**5\/5 + 19*h**2\/2 - 17. What is the second derivative of f(z) wrt z?\nAnswer: 264*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 34893353?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.706531 millimeters in centimeters?\nAnswer: 0.7706531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111111012112021022 - -1?\nAnswer: 1111111012112021100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 19 = 129. Is 18 a factor of (-5)\/(6 - 31) - 3258\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 922 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-36)*-6*324\/8. Is a >= 83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.6 + -2.7. Let k = -20.1 - u. Let x = -18 - k. Are x and -17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 0 - 3 + 8 - 3 + 2*w**2 - 85*w**3 + 108*w**3 + 4*w. What is d(-1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**5\/20 + b**4\/6 - b**3\/2 + 3*b**2\/2 + 15*b. Give w(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 6415*l**2 + 6417*l**2 + 14*l**4 - 4 + 8 + 0*l**3 + 2*l**3 to the form w*l**3 + d*l + k*l**2 + t*l**4 + z and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -96, -208, -438, -828, -1420?\nAnswer: -2256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 7, 706 in ascending order.\nAnswer: 3, 4, 7, 706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1 - -5) + -1 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 9*o - 2. Suppose 6*g - 2*g = -4*i + 24, 4*i = -5*g + 26. Calculate the remainder when z(4) is divided by 20 - g - 0\/(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64569205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2930421 and 11310.\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -459.9 - -460. Let a be (-1)\/(0 + 2)*8. Let d be 3 + -3 + a\/10. What is the closest to 1 in 1, d, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 7:05 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -2*j**7\/21 - 5*j**4\/6 - j. What is the third derivative of l(r) wrt r?\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**5 - m**5 + 4*m**5 + (3*m**4 - 2*m**4 - 3*m**4)*(3*m - 145*m + 455*m).\nAnswer: -625*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*k - k. Suppose 2*t = -10, -k*b = 3*t - 2*t - 1. Suppose -4 = -2*x, b*i - 2*x = -5*x + 12. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*j - 43 = 0. Let k = -101 + 143. Let s = k - j. Do s and 2\/95 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 208656 and 1970640?\nAnswer: 17735760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 6) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -19.17. Let f = p - -2.83. Let n = 0.15 - 0.47. What is the third smallest value in n, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*z - 4*a, -2 = 3*z + 2*a - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6561563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**3 + 0*m**3 + 6*m**3)*(-4*m - 14 + 0*m + 2*m).\nAnswer: -4*m**4 - 28*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 346027.5kg to grams.\nAnswer: 346027500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 5*p - 1, -4*p = -6*h + 3*h - 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*n - 1. Let k = n - -8. Differentiate k + 6*i**2 - 6*i**2 + i**4 wrt i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -36*s**5 + 174*s**4 + 932*s**3 - 6754*s**2 + 10164*s = 0.\nAnswer: -6, 0, 7\/2, 11\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -443468 (base 10) to base 6.\nAnswer: -13301032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 314*d**2 - 20*d + 118. List the prime factors of l(4).\nAnswer: 2, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 182663?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 383438 and 26796.\nAnswer: 16104396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -238396 divided by -32?\nAnswer: 59599\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1376 - 1132 = 116*h - 3352 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29036401 equal to 29036401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49734\/8701 + -2\/1243. Find the common denominator of 4\/16 + 65\/(-10) and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -358.1925 to the nearest 10.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*b**2 + 226507*b - 452966*b + 226461*b.\nAnswer: 44*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 14. Let t(l) = -l**2 - 7*l + 5. Let s be t(i). Let c = -7 + s. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 195844?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (506 - 4*d - 499 - 157*d)*(0*d - 2*d + d + (-3 - 4 + 5)*(3*d - 2*d + 0*d) - 2*d + d - d).\nAnswer: 805*d**2 - 35*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/23 - 236860*d\/23 - 201753552\/23.\nAnswer: -2*(d + 858)*(d + 117572)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}